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manifold</title> <meta name="description" content="Search results for: invariant manifold"> <meta name="keywords" content="invariant manifold"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="invariant manifold"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 235</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: invariant manifold</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">235</span> Frobenius Manifolds Pairing and Invariant Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zainab%20Al-Maamari">Zainab Al-Maamari</a>, <a href="https://publications.waset.org/abstracts/search?q=Yassir%20Dinar"> Yassir Dinar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The orbit space of an irreducible representation of a finite group is a variety with the ring of invariant polynomials as a coordinate ring. The invariant ring is a polynomial ring if and only if the representation is a reflection representation. Boris Dubrovin shows that the orbits spaces of irreducible real reflection representations acquire the structure of polynomial Frobenius manifolds. Dubrovin's method was also used to construct different examples of Frobenius manifolds on certain reflection representations. By successfully applying Dubrovin’s method on non-polynomial invariant rings of linear representations of dicyclic groups, it gives some results that magnify the relation between invariant theory and Frobenius manifolds. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=invariant%20ring" title="invariant ring">invariant ring</a>, <a href="https://publications.waset.org/abstracts/search?q=Frobenius%20manifold" title=" Frobenius manifold"> Frobenius manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=inversion" title=" inversion"> inversion</a>, <a href="https://publications.waset.org/abstracts/search?q=representation%20theory" title=" representation theory"> representation theory</a> </p> <a href="https://publications.waset.org/abstracts/143099/frobenius-manifolds-pairing-and-invariant-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/143099.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">98</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">234</span> Introduction of Para-Sasaki-Like Riemannian Manifolds and Construction of New Einstein Metrics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mancho%20Manev">Mancho Manev</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The concept of almost paracontact Riemannian manifolds (abbr., apcR manifolds) was introduced by I. Sato in 1976 as an analogue of almost contact Riemannian manifolds. The notion of an apcR manifold of type (p,q) was defined by S. Sasaki in 1980, where p and q are respectively the numbers of the multiplicity of the structure eigenvalues 1 and -1. It also has a simple eigenvalue of 0. In our work, we consider (2n+1)-dimensional apcR manifolds of type (n,n), i.e., the paracontact distribution of the studied manifold can be considered as a 2n-dimensional almost paracomplex Riemannian distribution with almost paracomplex structure and structure group O(n) × O(n). The aim of the present study is to introduce a new class of apcR manifolds. Such a manifold is obtained using the construction of a certain Riemannian cone over it, and the resulting manifold is a paraholomorphic paracomplex Riemannian manifold (abbr., phpcR manifold). We call it a para-Sasaki-like Riemannian manifold (abbr., pSlR manifold) and give some explicit examples. We study the structure of pSlR spaces and find that the paracontact form η is closed and each pSlR manifold locally can be considered as a certain product of the real line with a phpcR manifold, which is locally a Riemannian product of two equidimensional Riemannian spaces. We also obtain that the curvature of the pSlR manifolds is completely determined by the curvature of the underlying local phpcR manifold. Moreover, the ξ-directed Ricci curvature is equal to -2n, while in the Sasaki case, it is 2n. Accordingly, the pSlR manifolds can be interpreted as the counterpart of the Sasaki manifolds; the skew-symmetric part of ∇η vanishes, while in the Sasaki case, the symmetric part vanishes. We define a hyperbolic extension of a (complete) phpcR manifold that resembles a certain warped product, and we indicate that it is a (complete) pSlR manifold. In addition, we consider the hyperbolic extension of a phpcR manifold and prove that if the initial manifold is a complete Einstein manifold with negative scalar curvature, then the resulting manifold is a complete Einstein pSlR manifold with negative scalar curvature. In this way, we produce new examples of a complete Einstein Riemannian manifold with negative scalar curvature. Finally, we define and study para contact conformal/homothetic deformations by deriving a subclass that preserves the para-Sasaki-like condition. We then find that if we apply a paracontact homothetic deformation of a pSlR space, we obtain that the Ricci tensor is invariant. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=almost%20paracontact%20Riemannian%20manifolds" title="almost paracontact Riemannian manifolds">almost paracontact Riemannian manifolds</a>, <a href="https://publications.waset.org/abstracts/search?q=Einstein%20manifolds" title=" Einstein manifolds"> Einstein manifolds</a>, <a href="https://publications.waset.org/abstracts/search?q=holomorphic%20product%20manifold" title=" holomorphic product manifold"> holomorphic product manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=warped%20product%20manifold" title=" warped product manifold"> warped product manifold</a> </p> <a href="https://publications.waset.org/abstracts/138178/introduction-of-para-sasaki-like-riemannian-manifolds-and-construction-of-new-einstein-metrics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138178.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">206</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">233</span> Detailed Observations on Numerically Invariant Signatures</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Reza%20Aghayan">Reza Aghayan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Numerically invariant signatures were introduced as a new paradigm of the invariant recognition for visual objects modulo a certain group of transformations. This paper shows that the current formulation suffers from noise and indeterminacy in the resulting joint group-signatures and applies the n-difference technique and the m-mean signature method to minimize their effects. In our experimental results of applying the proposed numerical scheme to generate joint group-invariant signatures, the sensitivity of some parameters such as regularity and mesh resolution used in the algorithm will also be examined. Finally, several interesting observations are made. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Euclidean%20and%20affine%20geometry" title="Euclidean and affine geometry">Euclidean and affine geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20invariant%20G-signature%20curves" title=" differential invariant G-signature curves"> differential invariant G-signature curves</a>, <a href="https://publications.waset.org/abstracts/search?q=numerically%20invariant%20joint%20G-signatures" title=" numerically invariant joint G-signatures"> numerically invariant joint G-signatures</a>, <a href="https://publications.waset.org/abstracts/search?q=object%20recognition" title=" object recognition"> object recognition</a>, <a href="https://publications.waset.org/abstracts/search?q=noise" title=" noise"> noise</a>, <a href="https://publications.waset.org/abstracts/search?q=indeterminacy" title=" indeterminacy"> indeterminacy</a> </p> <a href="https://publications.waset.org/abstracts/11450/detailed-observations-on-numerically-invariant-signatures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/11450.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">398</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">232</span> New Ways of Vocabulary Enlargement</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Pesina">S. Pesina</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20Solonchak"> T. Solonchak</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Lexical invariants, being a sort of stereotypes within the frames of ordinary consciousness, are created by the members of a language community as a result of uniform division of reality. The invariant meaning is formed in person’s mind gradually in the course of different actualizations of secondary meanings in various contexts. We understand lexical the invariant as abstract language essence containing a set of semantic components. In one of its configurations it is the basis or all or a number of the meanings making up the semantic structure of the word. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=lexical%20invariant" title="lexical invariant">lexical invariant</a>, <a href="https://publications.waset.org/abstracts/search?q=invariant%20theories" title=" invariant theories"> invariant theories</a>, <a href="https://publications.waset.org/abstracts/search?q=polysemantic%20word" title=" polysemantic word"> polysemantic word</a>, <a href="https://publications.waset.org/abstracts/search?q=cognitive%20linguistics" title=" cognitive linguistics"> cognitive linguistics</a> </p> <a href="https://publications.waset.org/abstracts/10620/new-ways-of-vocabulary-enlargement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10620.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">322</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">231</span> Slant and Hemislant Submanifolds of an Indefinite Trans-Sasakian Manifold</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Barnali%20Laha">Barnali Laha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we would like to establish some of the properties of slant and hemislant submanifolds of an indefinite trans-Sasakian manifold. We have four sections in this paper. The first section is introductory. In Section 2, we recall some necessary details of an indefinite trans-Sasakian manifold. In Section 3, we have obtained some interesting properties on a totally umbilical slant submanifolds of an indefinite trans-Sasakian manifold. Finally, in Section 4, some results on integrability conditions of the distributions of hemislant submanifolds of an indefinite trans-Sasakian manifold have been obtained. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=slant%20submanifold" title="slant submanifold">slant submanifold</a>, <a href="https://publications.waset.org/abstracts/search?q=indefi%0Cnite%20trans-Sasakian%20manifold" title=" indefinite trans-Sasakian manifold"> indefinite trans-Sasakian manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=hemislant%20submanifold" title=" hemislant submanifold"> hemislant submanifold</a>, <a href="https://publications.waset.org/abstracts/search?q=integrability%20conditions" title=" integrability conditions"> integrability conditions</a> </p> <a href="https://publications.waset.org/abstracts/21009/slant-and-hemislant-submanifolds-of-an-indefinite-trans-sasakian-manifold" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21009.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">481</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">230</span> Some Classes of Lorentzian Alpha-Sasakian Manifolds with Respect to Quarter-Symmetric Metric Connection</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Santu%20Dey">Santu Dey</a>, <a href="https://publications.waset.org/abstracts/search?q=Arindam%20Bhattacharyya"> Arindam Bhattacharyya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The object of the present paper is to study a quarter-symmetric metric connection in a Lorentzian α-Sasakian manifold. We study some curvature properties of Lorentzian α-Sasakian manifold with respect to quarter-symmetric metric connection. We investigate quasi-projectively at, Φ-symmetric, Φ-projectively at Lorentzian α-Sasakian manifolds with respect to quarter-symmetric metric connection. We also discuss Lorentzian α-Sasakian manifold admitting quartersymmetric metric connection satisfying P.S = 0, where P denote the projective curvature tensor with respect to quarter-symmetric metric connection. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quarter-symmetric%20metric%20connection" title="quarter-symmetric metric connection">quarter-symmetric metric connection</a>, <a href="https://publications.waset.org/abstracts/search?q=Lorentzian%20alpha-Sasakian%20manifold" title=" Lorentzian alpha-Sasakian manifold"> Lorentzian alpha-Sasakian manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-projectively%20flat%20Lorentzian%20alpha-Sasakian%20manifold" title=" quasi-projectively flat Lorentzian alpha-Sasakian manifold"> quasi-projectively flat Lorentzian alpha-Sasakian manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=phi-symmetric%20manifold" title=" phi-symmetric manifold"> phi-symmetric manifold</a> </p> <a href="https://publications.waset.org/abstracts/66809/some-classes-of-lorentzian-alpha-sasakian-manifolds-with-respect-to-quarter-symmetric-metric-connection" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66809.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">239</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">229</span> Biases in Numerically Invariant Joint Signatures </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Reza%20Aghayan">Reza Aghayan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper illustrates that numerically invariant joint signatures suffer biases in the resulting signatures. Next, we classify the arising biases as Bias Type 1 and Bias Type 2 and show how they can be removed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Euclidean%20and%20affine%20geometries" title="Euclidean and affine geometries">Euclidean and affine geometries</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20invariant%20signature%20curves" title=" differential invariant signature curves"> differential invariant signature curves</a>, <a href="https://publications.waset.org/abstracts/search?q=numerically%20invariant%20joint%20signatures" title=" numerically invariant joint signatures"> numerically invariant joint signatures</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20analysis" title=" numerical analysis"> numerical analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20bias" title=" numerical bias"> numerical bias</a>, <a href="https://publications.waset.org/abstracts/search?q=curve%20analysis" title=" curve analysis"> curve analysis</a> </p> <a href="https://publications.waset.org/abstracts/31756/biases-in-numerically-invariant-joint-signatures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31756.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">597</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">228</span> Singular Perturbed Vector Field Method Applied to the Problem of Thermal Explosion of Polydisperse Fuel Spray</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ophir%20Nave">Ophir Nave</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In our research, we present the concept of singularly perturbed vector field (SPVF) method, and its application to thermal explosion of diesel spray combustion. Given a system of governing equations, which consist of hidden Multi-scale variables, the SPVF method transfer and decompose such system to fast and slow singularly perturbed subsystems (SPS). The SPVF method enables us to understand the complex system, and simplify the calculations. Later powerful analytical, numerical and asymptotic methods (e.g method of integral (invariant) manifold (MIM), the homotopy analysis method (HAM) etc.) can be applied to each subsystem. We compare the results obtained by the methods of integral invariant manifold and SPVF apply to spray droplets combustion model. The research deals with the development of an innovative method for extracting fast and slow variables in physical mathematical models. The method that we developed called singular perturbed vector field. This method based on a numerical algorithm applied to global quasi linearization applied to given physical model. The SPVF method applied successfully to combustion processes. Our results were compared to experimentally results. The SPVF is a general numerical and asymptotical method that reveals the hierarchy (multi-scale system) of a given system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=polydisperse%20spray" title="polydisperse spray">polydisperse spray</a>, <a href="https://publications.waset.org/abstracts/search?q=model%20reduction" title=" model reduction"> model reduction</a>, <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20analysis" title=" asymptotic analysis"> asymptotic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-scale%20systems" title=" multi-scale systems"> multi-scale systems</a> </p> <a href="https://publications.waset.org/abstracts/71377/singular-perturbed-vector-field-method-applied-to-the-problem-of-thermal-explosion-of-polydisperse-fuel-spray" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/71377.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">219</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">227</span> Numerical Analysis of Liquid Metal Magnetohydrodynamic Flows in a Manifold with Three Sub-Channels</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Meimei%20Wen">Meimei Wen</a>, <a href="https://publications.waset.org/abstracts/search?q=Chang%20Nyung%20Kim"> Chang Nyung Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the current study, three-dimensional liquid metal (LM) magneto-hydrodynamic (MHD) flows in a manifold with three sub-channels under a uniform magnetic field are numerically investigated. In the manifold, the electrical current can cross channel walls, thus having influence on the flow distribution in each sub-channel. A case with various arrangements of electric conductivity for different parts of channel walls is considered, yielding different current distributions as well as flow distributions in each sub-channel. Here, the imbalance of mass flow rates in the three sub-channels is addressed. Meanwhile, predicted are detailed behaviors of the flow velocity, pressure, current and electric potential of LM MHD flows with three sub-channels. Commercial software CFX is used for the numerical simulation of LM MHD flows. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=CFX" title="CFX">CFX</a>, <a href="https://publications.waset.org/abstracts/search?q=liquid%20metal" title=" liquid metal"> liquid metal</a>, <a href="https://publications.waset.org/abstracts/search?q=manifold" title=" manifold"> manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=MHD%20flow" title=" MHD flow"> MHD flow</a> </p> <a href="https://publications.waset.org/abstracts/25429/numerical-analysis-of-liquid-metal-magnetohydrodynamic-flows-in-a-manifold-with-three-sub-channels" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25429.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">344</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">226</span> A Dynamic Symplectic Manifold Analysis for Wave Propagation in Porous Media</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=K.%20I.%20M.%20Guerra">K. I. M. Guerra</a>, <a href="https://publications.waset.org/abstracts/search?q=L.%20A.%20P.%20Silva"> L. A. P. Silva</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20C.%20Leal"> J. C. Leal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study aims to understand with more amplitude and clarity the behavior of a porous medium where a pressure wave travels, translated into relative displacements inside the material, using mathematical tools derived from topology and symplectic geometry. The paper starts with a given partial differential equation based on the continuity and conservation theorems to describe the traveling wave through the porous body. A solution for this equation is proposed after all boundary, and initial conditions are fixed, and it’s accepted that the solution lies in a manifold U of purely spatial dimensions and that is embedded in the Real n-dimensional manifold, with spatial and kinetic dimensions. It’s shown that the U manifold of lower dimensions than IRna, where it is embedded, inherits properties of the vector spaces existing inside the topology it lies on. Then, a second manifold (U*), embedded in another space called IRnb of stress dimensions, is proposed and there’s a non-degenerative function that maps it into the U manifold. This relation is proved as a transformation in between two corresponding admissible solutions of the differential equation in distinct dimensions and properties, leading to a more visual and intuitive understanding of the whole dynamic process of a stress wave through a porous medium and also highlighting the dimensional invariance of Terzaghi’s theory for any coordinate system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=poremechanics" title="poremechanics">poremechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=soil%20dynamics" title=" soil dynamics"> soil dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=symplectic%20geometry" title=" symplectic geometry"> symplectic geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20propagation" title=" wave propagation"> wave propagation</a> </p> <a href="https://publications.waset.org/abstracts/83917/a-dynamic-symplectic-manifold-analysis-for-wave-propagation-in-porous-media" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/83917.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">295</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">225</span> Topology Optimization of Heat Exchanger Manifolds for Aircraft</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hanjong%20Kim">Hanjong Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Changwan%20Han"> Changwan Han</a>, <a href="https://publications.waset.org/abstracts/search?q=Seonghun%20Park"> Seonghun Park</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Heat exchanger manifolds in aircraft play an important role in evenly distributing the fluid entering through the inlet to the heat transfer unit. In order to achieve this requirement, the manifold should be designed to have a light weight by withstanding high internal pressure. Therefore, this study aims at minimizing the weight of the heat exchanger manifold through topology optimization. For topology optimization, the initial design space was created with the inner surface extracted from the currently used manifold model and with the outer surface having a dimension of 243.42 mm of X 74.09 mm X 65 mm. This design space solid model was transformed into a finite element model with a maximum tetrahedron mesh size of 2 mm using ANSYS Workbench. Then, topology optimization was performed under the boundary conditions of an internal pressure of 5.5 MPa and the fixed support for rectangular inlet boundaries by SIMULIA TOSCA. This topology optimization produced the minimized finial volume of the manifold (i.e., 7.3% of the initial volume) based on the given constraints (i.e., 6% of the initial volume) and the objective function (i.e., maximizing manifold stiffness). Weight of the optimized model was 6.7% lighter than the currently used manifold, but after smoothing the topology optimized model, this difference would be bigger. The current optimized model has uneven thickness and skeleton-shaped outer surface to reduce stress concentration. We are currently simplifying the optimized model shape with spline interpolations by reflecting the design characteristics in thickness and skeletal structures from the optimized model. This simplified model will be validated again by calculating both stress distributions and weight reduction and then the validated model will be manufactured using 3D printing processes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=topology%20optimization" title="topology optimization">topology optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=manifold" title=" manifold"> manifold</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20exchanger" title=" heat exchanger"> heat exchanger</a>, <a href="https://publications.waset.org/abstracts/search?q=3D%20printing" title=" 3D printing"> 3D printing</a> </p> <a href="https://publications.waset.org/abstracts/60709/topology-optimization-of-heat-exchanger-manifolds-for-aircraft" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60709.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">248</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">224</span> Airy Wave Packet for a Particle in a Time-Dependant Linear Potential </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Berrehail">M. Berrehail</a>, <a href="https://publications.waset.org/abstracts/search?q=F.%20Benamira"> F. Benamira</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the quantum motion of a particle in the presence of a time- dependent linear potential using an operator invariant that is quadratic in p and linear in q within the framework of the Lewis-Riesenfeld invariant, The special invariant operator proposed in this work is demonstrated to be an Hermitian operator which has an Airy wave packet as its Eigenfunction <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=airy%20wave%20packet" title="airy wave packet">airy wave packet</a>, <a href="https://publications.waset.org/abstracts/search?q=ivariant" title=" ivariant"> ivariant</a>, <a href="https://publications.waset.org/abstracts/search?q=time-dependent%20linear%20potential" title=" time-dependent linear potential"> time-dependent linear potential</a>, <a href="https://publications.waset.org/abstracts/search?q=unitary%20transformation" title=" unitary transformation"> unitary transformation</a> </p> <a href="https://publications.waset.org/abstracts/31077/airy-wave-packet-for-a-particle-in-a-time-dependant-linear-potential" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31077.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">492</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">223</span> Pyramid Binary Pattern for Age Invariant Face Verification</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Saroj%20Bijarnia">Saroj Bijarnia</a>, <a href="https://publications.waset.org/abstracts/search?q=Preety%20Singh"> Preety Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We propose a simple and effective biometrics system based on face verification across aging using a new variant of texture feature, Pyramid Binary Pattern. This employs Local Binary Pattern along with its hierarchical information. Dimension reduction of generated texture feature vector is done using Principal Component Analysis. Support Vector Machine is used for classification. Our proposed method achieves an accuracy of 92:24% and can be used in an automated age-invariant face verification system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=biometrics" title="biometrics">biometrics</a>, <a href="https://publications.waset.org/abstracts/search?q=age%20invariant" title=" age invariant"> age invariant</a>, <a href="https://publications.waset.org/abstracts/search?q=verification" title=" verification"> verification</a>, <a href="https://publications.waset.org/abstracts/search?q=support%20vector%20machine" title=" support vector machine"> support vector machine</a> </p> <a href="https://publications.waset.org/abstracts/64435/pyramid-binary-pattern-for-age-invariant-face-verification" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64435.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">351</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">222</span> Relativistic Energy Analysis for Some q Deformed Shape Invariant Potentials in D Dimensions Using SUSYQM Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Suparmi">A. Suparmi</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20Cari"> C. Cari</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Yunianto"> M. Yunianto</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20N.%20Pratiwi"> B. N. Pratiwi </a> </p> <p class="card-text"><strong>Abstract:</strong></p> D-dimensional Dirac equations of q-deformed shape invariant potentials were solved using supersymmetric quantum mechanics (SUSY QM) in the case of exact spin symmetry. The D dimensional radial Dirac equation for shape invariant potential reduces to one-dimensional Schrodinger type equation by an appropriate variable and parameter change. The relativistic energy spectra were analyzed by using SUSY QM and shape invariant properties from radial D dimensional Dirac equation that have reduced to one dimensional Schrodinger type equation. The SUSY operator was used to generate the D dimensional relativistic radial wave functions, the relativistic energy equation reduced to the non-relativistic energy in the non-relativistic limit. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=D-dimensional%20dirac%20equation" title="D-dimensional dirac equation">D-dimensional dirac equation</a>, <a href="https://publications.waset.org/abstracts/search?q=non-central%20potential" title=" non-central potential"> non-central potential</a>, <a href="https://publications.waset.org/abstracts/search?q=SUSY%20QM" title=" SUSY QM"> SUSY QM</a>, <a href="https://publications.waset.org/abstracts/search?q=radial%20wave%20function" title=" radial wave function"> radial wave function</a> </p> <a href="https://publications.waset.org/abstracts/43601/relativistic-energy-analysis-for-some-q-deformed-shape-invariant-potentials-in-d-dimensions-using-susyqm-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43601.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">344</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">221</span> Implementation of Integer Sub-Decomposition Method on Elliptic Curves with J-Invariant 1728</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Siti%20Noor%20Farwina%20Anwar">Siti Noor Farwina Anwar</a>, <a href="https://publications.waset.org/abstracts/search?q=Hailiza%20Kamarulhaili"> Hailiza Kamarulhaili</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present the idea of implementing the Integer Sub-Decomposition (ISD) method on elliptic curves with j-invariant 1728. The ISD method was proposed in 2013 to compute scalar multiplication in elliptic curves, which remains to be the most expensive operation in Elliptic Curve Cryptography (ECC). However, the original ISD method only works on integer number field and solve integer scalar multiplication. By extending the method into the complex quadratic field, we are able to solve complex multiplication and implement the ISD method on elliptic curves with j-invariant 1728. The curve with j-invariant 1728 has a unique discriminant of the imaginary quadratic field. This unique discriminant of quadratic field yields a unique efficiently computable endomorphism, which later able to speed up the computations on this curve. However, the ISD method needs three endomorphisms to be accomplished. Hence, we choose all three endomorphisms to be from the same imaginary quadratic field as the curve itself, where the first endomorphism is the unique endomorphism yield from the discriminant of the imaginary quadratic field. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=efficiently%20computable%20endomorphism" title="efficiently computable endomorphism">efficiently computable endomorphism</a>, <a href="https://publications.waset.org/abstracts/search?q=elliptic%20scalar%20multiplication" title=" elliptic scalar multiplication"> elliptic scalar multiplication</a>, <a href="https://publications.waset.org/abstracts/search?q=j-invariant%201728" title=" j-invariant 1728"> j-invariant 1728</a>, <a href="https://publications.waset.org/abstracts/search?q=quadratic%20field" title=" quadratic field"> quadratic field</a> </p> <a href="https://publications.waset.org/abstracts/89234/implementation-of-integer-sub-decomposition-method-on-elliptic-curves-with-j-invariant-1728" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/89234.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">199</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">220</span> On Quasi Conformally Flat LP-Sasakian Manifolds with a Coefficient α</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jay%20Prakash%20Singh">Jay Prakash Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of the present paper is to study properties of Quasi conformally flat LP-Sasakian manifolds with a coefficient α. In this paper, we prove that a Quasi conformally flat LP-Sasakian manifold M (n > 3) with a constant coefficient α is an η−Einstein and in a quasi conformally flat LP-Sasakian manifold M (n > 3) with a constant coefficient α if the scalar curvature tensor is constant then M is of constant curvature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=LP-Sasakian%20manifolds" title="LP-Sasakian manifolds">LP-Sasakian manifolds</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-conformal%20curvature%20tensor" title=" quasi-conformal curvature tensor"> quasi-conformal curvature tensor</a>, <a href="https://publications.waset.org/abstracts/search?q=concircular%20vector%20%0Cfield" title=" concircular vector field"> concircular vector field</a>, <a href="https://publications.waset.org/abstracts/search?q=torse%20forming%20vector%20%0Cfield" title=" torse forming vector field"> torse forming vector field</a>, <a href="https://publications.waset.org/abstracts/search?q=Einstein%20manifold" title=" Einstein manifold"> Einstein manifold</a> </p> <a href="https://publications.waset.org/abstracts/50415/on-quasi-conformally-flat-lp-sasakian-manifolds-with-a-coefficient-a" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50415.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">792</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">219</span> A Local Invariant Generalized Hough Transform Method for Integrated Circuit Visual Positioning</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wei%20Feilong">Wei Feilong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, an local invariant generalized Houghtransform (LI-GHT) method is proposed for integrated circuit (IC) visual positioning. The original generalized Hough transform (GHT) is robust to external noise; however, it is not suitable for visual positioning of IC chips due to the four-dimensionality (4D) of parameter space which leads to the substantial storage requirement and high computational complexity. The proposed LI-GHT method can reduce the dimensionality of parameter space to 2D thanks to the rotational invariance of local invariant geometric feature and it can estimate the accuracy position and rotation angle of IC chips in real-time under noise and blur influence. The experiment results show that the proposed LI-GHT can estimate position and rotation angle of IC chips with high accuracy and fast speed. The proposed LI-GHT algorithm was implemented in IC visual positioning system of radio frequency identification (RFID) packaging equipment. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Integrated%20Circuit%20Visual%20Positioning" title="Integrated Circuit Visual Positioning">Integrated Circuit Visual Positioning</a>, <a href="https://publications.waset.org/abstracts/search?q=Generalized%20Hough%20Transform" title=" Generalized Hough Transform"> Generalized Hough Transform</a>, <a href="https://publications.waset.org/abstracts/search?q=Local%20invariant%20Generalized%20Hough%20Transform" title=" Local invariant Generalized Hough Transform"> Local invariant Generalized Hough Transform</a>, <a href="https://publications.waset.org/abstracts/search?q=ICpacking%20equipment" title=" ICpacking equipment"> ICpacking equipment</a> </p> <a href="https://publications.waset.org/abstracts/3976/a-local-invariant-generalized-hough-transform-method-for-integrated-circuit-visual-positioning" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3976.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">264</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">218</span> On the Relation between λ-Symmetries and μ-Symmetries of Partial Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Teoman%20Ozer">Teoman Ozer</a>, <a href="https://publications.waset.org/abstracts/search?q=Ozlem%20Orhan"> Ozlem Orhan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study deals with symmetry group properties and conservation laws of partial differential equations. We give a geometrical interpretation of notion of μ-prolongations of vector fields and of the related concept of μ-symmetry for partial differential equations. We show that these are in providing symmetry reduction of partial differential equations and systems and invariant solutions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=%CE%BB-symmetry" title="λ-symmetry">λ-symmetry</a>, <a href="https://publications.waset.org/abstracts/search?q=%CE%BC-symmetry" title=" μ-symmetry"> μ-symmetry</a>, <a href="https://publications.waset.org/abstracts/search?q=classification" title=" classification"> classification</a>, <a href="https://publications.waset.org/abstracts/search?q=invariant%20solution" title=" invariant solution"> invariant solution</a> </p> <a href="https://publications.waset.org/abstracts/59662/on-the-relation-between-l-symmetries-and-m-symmetries-of-partial-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59662.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">319</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">217</span> Development of Restricted Formula SAE Intake Manifold Using 1D and Flow Simulations Based on Track Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sahil%20Kapahi">Sahil Kapahi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A Formula SAE competition is characterized by typical track layouts having slaloms, tight corners and short straights, which favor a particular range of engine speed for a given set of gear ratios. Therefore, it is imperative that the power-train is optimized for the corresponding engine rpm band. This paper describes the process of designing, simulating and validating an air intake manifold for an inline four cylinder four-stroke internal combustion gasoline engine based on analysis of required vehicle performance. The requirements for the design of subject intake were set considering the rules of FSAE competitions and analysis of engine performance patterns for typical competition scenarios, carried out using OPTIMUMLAP software. Manifold geometry was optimized using results of air flow simulations performed on ANSYS CFX, and subsequent effect of this geometry on the engine was modeled using 1D simulation on Ricardo WAVE. A design was developed to meet the targeted performance standards in terms of engine torque output and volumetric efficiency. Finally, the intake manifold was manufactured and assembled onto the vehicle, and the engine output of the vehicle with the designed intake was studied using a dynamometer. The results of the dynamometer testing were then validated against predicted values derived from the Ricardo WAVE modeling and benefits to performance of the vehicle were established. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=1%20D%20Simulation" title="1 D Simulation">1 D Simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=air%20flow%20simulation" title=" air flow simulation"> air flow simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=ANSYS%20CFX" title=" ANSYS CFX"> ANSYS CFX</a>, <a href="https://publications.waset.org/abstracts/search?q=four-stroke%20engine" title=" four-stroke engine"> four-stroke engine</a>, <a href="https://publications.waset.org/abstracts/search?q=OPTIMUM%20LAP" title=" OPTIMUM LAP"> OPTIMUM LAP</a>, <a href="https://publications.waset.org/abstracts/search?q=Ricardo%20WAVE" title=" Ricardo WAVE"> Ricardo WAVE</a> </p> <a href="https://publications.waset.org/abstracts/75416/development-of-restricted-formula-sae-intake-manifold-using-1d-and-flow-simulations-based-on-track-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/75416.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">246</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">216</span> Lie Symmetry of a Nonlinear System Characterizing Endemic Malaria</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Maba%20Boniface%20Matadi">Maba Boniface Matadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper analyses the model of Malaria endemic from the point of view of the group theoretic approach. The study identified new independent variables that lead to the transformation of the nonlinear model. Furthermore, corresponding determining equations were constructed, and new symmetries were found. As a result, the findings of the study demonstrate of the integrability of the model to present an invariant solution for the Malaria model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=group%20theory" title="group theory">group theory</a>, <a href="https://publications.waset.org/abstracts/search?q=lie%20symmetry" title=" lie symmetry"> lie symmetry</a>, <a href="https://publications.waset.org/abstracts/search?q=invariant%20solutions" title=" invariant solutions"> invariant solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=malaria" title=" malaria"> malaria</a> </p> <a href="https://publications.waset.org/abstracts/148583/lie-symmetry-of-a-nonlinear-system-characterizing-endemic-malaria" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/148583.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">109</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">215</span> The Structure of Invariant Manifolds after a Supercritical Hamiltonian Hopf Bifurcation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Matthaios%20Katsanikas">Matthaios Katsanikas</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the structure of the invariant manifolds of complex unstable periodic orbits of a family of periodic orbits, in a 3D autonomous Hamiltonian system of galactic type, after a transition of this family from stability to complex instability (Hamiltonian Hopf bifurcation). We consider the case of a supercritical Hamiltonian Hopf bifurcation. The invariant manifolds of complex unstable periodic orbits have two kinds of structures. The first kind is represented by a disk confined structure on the 4D space of section. The second kind is represented by a complicated central tube structure that is associated with an extended network of tube structures, strips and flat structures of sheet type on the 4D space of section. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamical%20systems" title="dynamical systems">dynamical systems</a>, <a href="https://publications.waset.org/abstracts/search?q=galactic%20dynamics" title=" galactic dynamics"> galactic dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20space" title=" phase space"> phase space</a> </p> <a href="https://publications.waset.org/abstracts/125080/the-structure-of-invariant-manifolds-after-a-supercritical-hamiltonian-hopf-bifurcation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/125080.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">138</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">214</span> A Combinatorial Representation for the Invariant Measure of Diffusion Processes on Metric Graphs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Michele%20Aleandri">Michele Aleandri</a>, <a href="https://publications.waset.org/abstracts/search?q=Matteo%20Colangeli"> Matteo Colangeli</a>, <a href="https://publications.waset.org/abstracts/search?q=Davide%20%20Gabrielli"> Davide Gabrielli</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study a generalization to a continuous setting of the classical Markov chain tree theorem. In particular, we consider an irreducible diffusion process on a metric graph. The unique invariant measure has an atomic component on the vertices and an absolutely continuous part on the edges. We show that the corresponding density at x can be represented by a normalized superposition of the weights associated to metric arborescences oriented toward the point x. A metric arborescence is a metric tree oriented towards its root. The weight of each oriented metric arborescence is obtained by the product of the exponential of integrals of the form ∫a/b², where b is the drift and σ² is the diffusion coefficient, along the oriented edges, for a weight for each node determined by the local orientation of the arborescence around the node and for the inverse of the diffusion coefficient at x. The metric arborescences are obtained by cutting the original metric graph along some edges. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=diffusion%20processes" title="diffusion processes">diffusion processes</a>, <a href="https://publications.waset.org/abstracts/search?q=metric%20graphs" title=" metric graphs"> metric graphs</a>, <a href="https://publications.waset.org/abstracts/search?q=invariant%20measure" title=" invariant measure"> invariant measure</a>, <a href="https://publications.waset.org/abstracts/search?q=reversibility" title=" reversibility"> reversibility</a> </p> <a href="https://publications.waset.org/abstracts/137576/a-combinatorial-representation-for-the-invariant-measure-of-diffusion-processes-on-metric-graphs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/137576.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">172</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">213</span> Approximation Property Pass to Free Product</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kankeyanathan%20Kannan">Kankeyanathan Kannan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> On approximation properties of group C* algebras is everywhere; it is powerful, important, backbone of countless breakthroughs. For a discrete group G, let A(G) denote its Fourier algebra, and let M₀A(G) denote the space of completely bounded Fourier multipliers on G. An approximate identity on G is a sequence (Φn) of finitely supported functions such that (Φn) uniformly converge to constant function 1 In this paper we prove that approximation property pass to free product. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximation%20property" title="approximation property">approximation property</a>, <a href="https://publications.waset.org/abstracts/search?q=weakly%20amenable" title=" weakly amenable"> weakly amenable</a>, <a href="https://publications.waset.org/abstracts/search?q=strong%20invariant%20approximation%20property" title=" strong invariant approximation property"> strong invariant approximation property</a>, <a href="https://publications.waset.org/abstracts/search?q=invariant%20approximation%20property" title=" invariant approximation property"> invariant approximation property</a> </p> <a href="https://publications.waset.org/abstracts/44414/approximation-property-pass-to-free-product" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/44414.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">675</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">212</span> Combining Diffusion Maps and Diffusion Models for Enhanced Data Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Meng%20Su">Meng Su</a> </p> <p class="card-text"><strong>Abstract:</strong></p> High-dimensional data analysis often presents challenges in capturing the complex, nonlinear relationships and manifold structures inherent to the data. This article presents a novel approach that leverages the strengths of two powerful techniques, Diffusion Maps and Diffusion Probabilistic Models (DPMs), to address these challenges. By integrating the dimensionality reduction capability of Diffusion Maps with the data modeling ability of DPMs, the proposed method aims to provide a comprehensive solution for analyzing and generating high-dimensional data. The Diffusion Map technique preserves the nonlinear relationships and manifold structure of the data by mapping it to a lower-dimensional space using the eigenvectors of the graph Laplacian matrix. Meanwhile, DPMs capture the dependencies within the data, enabling effective modeling and generation of new data points in the low-dimensional space. The generated data points can then be mapped back to the original high-dimensional space, ensuring consistency with the underlying manifold structure. Through a detailed example implementation, the article demonstrates the potential of the proposed hybrid approach to achieve more accurate and effective modeling and generation of complex, high-dimensional data. Furthermore, it discusses possible applications in various domains, such as image synthesis, time-series forecasting, and anomaly detection, and outlines future research directions for enhancing the scalability, performance, and integration with other machine learning techniques. By combining the strengths of Diffusion Maps and DPMs, this work paves the way for more advanced and robust data analysis methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=diffusion%20maps" title="diffusion maps">diffusion maps</a>, <a href="https://publications.waset.org/abstracts/search?q=diffusion%20probabilistic%20models%20%28DPMs%29" title=" diffusion probabilistic models (DPMs)"> diffusion probabilistic models (DPMs)</a>, <a href="https://publications.waset.org/abstracts/search?q=manifold%20learning" title=" manifold learning"> manifold learning</a>, <a href="https://publications.waset.org/abstracts/search?q=high-dimensional%20data%20analysis" title=" high-dimensional data analysis"> high-dimensional data analysis</a> </p> <a href="https://publications.waset.org/abstracts/165159/combining-diffusion-maps-and-diffusion-models-for-enhanced-data-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/165159.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">107</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">211</span> Change Detection Method Based on Scale-Invariant Feature Transformation Keypoints and Segmentation for Synthetic Aperture Radar Image</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lan%20Du">Lan Du</a>, <a href="https://publications.waset.org/abstracts/search?q=Yan%20Wang"> Yan Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Hui%20Dai"> Hui Dai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Synthetic aperture radar (SAR) image change detection has recently become a challenging problem owing to the existence of speckle noises. In this paper, an unsupervised distribution-free change detection for SAR image based on scale-invariant feature transform (SIFT) keypoints and segmentation is proposed. Firstly, the noise-robust SIFT keypoints which reveal the blob-like structures in an image are extracted in the log-ratio image to reduce the detection range. Then, different from the traditional change detection which directly obtains the change-detection map from the difference image, segmentation is made around the extracted keypoints in the two original multitemporal SAR images to obtain accurate changed region. At last, the change-detection map is generated by comparing the two segmentations. Experimental results on the real SAR image dataset demonstrate the effectiveness of the proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=change%20detection" title="change detection">change detection</a>, <a href="https://publications.waset.org/abstracts/search?q=Synthetic%20Aperture%20Radar%20%28SAR%29" title=" Synthetic Aperture Radar (SAR)"> Synthetic Aperture Radar (SAR)</a>, <a href="https://publications.waset.org/abstracts/search?q=Scale-Invariant%20Feature%20Transformation%20%28SIFT%29" title=" Scale-Invariant Feature Transformation (SIFT)"> Scale-Invariant Feature Transformation (SIFT)</a>, <a href="https://publications.waset.org/abstracts/search?q=segmentation" title=" segmentation"> segmentation</a> </p> <a href="https://publications.waset.org/abstracts/66992/change-detection-method-based-on-scale-invariant-feature-transformation-keypoints-and-segmentation-for-synthetic-aperture-radar-image" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/66992.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">386</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">210</span> Modifying Hawking Radiation in 2D-Approximated Schwarzschild Black Holes near the Event Horizon</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Richard%20Pincak">Richard Pincak</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Starting from a 4D spacetime model using a partially negative dimensional product manifold (PNDP-manifold), which emerges as a 2D spacetime, we developed an analysis of tidal forces and Hawking radiation near the event horizon of a Schwarzchild black hole. The modified 2D metric, incorporating the effects of the four-dimensional Weyl tensor, with the dilatonic field and the newly derived time relation \(2\alpha t = \ln \epsilon\), can enable a deeper understanding of quantum gravity. The analysis shows how the modified Hawking temperature and distribution of emitted particles are affected by additional fields, providing potential observables for future experiments. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=black%20holes" title="black holes">black holes</a>, <a href="https://publications.waset.org/abstracts/search?q=Hawking%20radiation" title=" Hawking radiation"> Hawking radiation</a>, <a href="https://publications.waset.org/abstracts/search?q=Weyl%20tensor" title=" Weyl tensor"> Weyl tensor</a>, <a href="https://publications.waset.org/abstracts/search?q=information%20paradox" title=" information paradox"> information paradox</a> </p> <a href="https://publications.waset.org/abstracts/191161/modifying-hawking-radiation-in-2d-approximated-schwarzschild-black-holes-near-the-event-horizon" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/191161.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">21</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">209</span> A Nonlocal Means Algorithm for Poisson Denoising Based on Information Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dongxu%20Chen">Dongxu Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Yipeng%20Li"> Yipeng Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an information geometry NonlocalMeans(NLM) algorithm for Poisson denoising. NLM estimates a noise-free pixel as a weighted average of image pixels, where each pixel is weighted according to the similarity between image patches in Euclidean space. In this work, every pixel is a Poisson distribution locally estimated by Maximum Likelihood (ML), all distributions consist of a statistical manifold. A NLM denoising algorithm is conducted on the statistical manifold where Fisher information matrix can be used for computing distribution geodesics referenced as the similarity between patches. This approach was demonstrated to be competitive with related state-of-the-art methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=image%20denoising" title="image denoising">image denoising</a>, <a href="https://publications.waset.org/abstracts/search?q=Poisson%20noise" title=" Poisson noise"> Poisson noise</a>, <a href="https://publications.waset.org/abstracts/search?q=information%20geometry" title=" information geometry"> information geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal-means" title=" nonlocal-means"> nonlocal-means</a> </p> <a href="https://publications.waset.org/abstracts/51221/a-nonlocal-means-algorithm-for-poisson-denoising-based-on-information-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51221.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">285</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">208</span> CONDUCTHOME: Gesture Interface Control of Home Automation Boxes</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20Branstett">J. Branstett</a>, <a href="https://publications.waset.org/abstracts/search?q=V.%20Gagneux"> V. Gagneux</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Leleu"> A. Leleu</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Levadoux"> B. Levadoux</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20Pascale"> J. Pascale</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents the interface CONDUCTHOME which controls home automation systems with a Leap Motion using ‘invariant gesture protocols’. The function of this interface is to simplify the interaction of the user with its environment. A hardware part allows the Leap Motion to be carried around the house. A software part interacts with the home automation box and displays the useful information for the user. An objective of this work is the development a natural/invariant/simple gesture control interface to help elder people/people with disabilities. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=automation" title="automation">automation</a>, <a href="https://publications.waset.org/abstracts/search?q=ergonomics" title=" ergonomics"> ergonomics</a>, <a href="https://publications.waset.org/abstracts/search?q=gesture%20recognition" title=" gesture recognition"> gesture recognition</a>, <a href="https://publications.waset.org/abstracts/search?q=interoperability" title=" interoperability"> interoperability</a> </p> <a href="https://publications.waset.org/abstracts/38302/conducthome-gesture-interface-control-of-home-automation-boxes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/38302.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">431</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">207</span> A General Approach to Define Adjoint of Linear and Non-linear Operators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mehdi%20Jafari%20Matehkolaee">Mehdi Jafari Matehkolaee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we have obtained the adjoint of an arbitrary operator (linear and nonlinear) in Hilbert space by introducing an n-dimensional Riemannian manifold. This general formalism covers every linear operator (non – differential) in Hilbert space. In fact, our approach shows that instead of using the adjoint definition of an operator directly, it can be obtained directly by relying on a suitable generalized space according to the action of the operator in question. For the case of nonlinear operators, we have to change the definition of the linear operator adjoint. But here, we have obtained an adjoint of these operators with respect to the definition of the derivative of the operator. As a matter of fact, we have shown one of the straight applications of the ''Frechet derivative'' in the algebra of the operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adjoint%20operator" title="adjoint operator">adjoint operator</a>, <a href="https://publications.waset.org/abstracts/search?q=non-linear%20operator" title=" non-linear operator"> non-linear operator</a>, <a href="https://publications.waset.org/abstracts/search?q=differentiable%20operator" title=" differentiable operator"> differentiable operator</a>, <a href="https://publications.waset.org/abstracts/search?q=manifold" title=" manifold"> manifold</a> </p> <a href="https://publications.waset.org/abstracts/166456/a-general-approach-to-define-adjoint-of-linear-and-non-linear-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/166456.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">119</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">206</span> Representation of the Solution of One Dynamical System on the Plane</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kushakov%20Kholmurodjon">Kushakov Kholmurodjon</a>, <a href="https://publications.waset.org/abstracts/search?q=Muhammadjonov%20Akbarshox"> Muhammadjonov Akbarshox</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This present paper is devoted to a system of second-order nonlinear differential equations with a special right-hand side, exactly, the linear part and a third-order polynomial of a special form. It is shown that for some relations between the parameters, there is a second-order curve in which trajectories leaving the points of this curve remain in the same place. Thus, the curve is invariant with respect to the given system. Moreover, this system is invariant under a non-degenerate linear transformation of variables. The form of this curve, depending on the relations between the parameters and the eigenvalues of the matrix, is proved. All solutions of this system of differential equations are shown analytically. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20system" title="dynamic system">dynamic system</a>, <a href="https://publications.waset.org/abstracts/search?q=ellipse" title=" ellipse"> ellipse</a>, <a href="https://publications.waset.org/abstracts/search?q=hyperbola" title=" hyperbola"> hyperbola</a>, <a href="https://publications.waset.org/abstracts/search?q=Hess%20system" title=" Hess system"> Hess system</a>, <a href="https://publications.waset.org/abstracts/search?q=polar%20coordinate%20system" title=" polar coordinate system"> polar coordinate system</a> </p> <a href="https://publications.waset.org/abstracts/140142/representation-of-the-solution-of-one-dynamical-system-on-the-plane" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/140142.pdf" target="_blank" class="btn btn-primary 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