Analysis of the Relationship between the Unitary Impulse Response for the nth-Volterra Kernel of a Duffing Oscillator System

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between the Unitary Impulse Response for the nth-Volterra Kernel of a Duffing Oscillator System</title> <meta name="description" content="Analysis of the Relationship between the Unitary Impulse Response for the nth-Volterra Kernel of a Duffing Oscillator System"> <meta name="keywords" content="Volterra series, frequency response functions FRF, associated linear equations ALEs, unitary response function, Voterra kernel"> <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 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class="card"> <div class="card-body"><strong>Paper Count:</strong> 87356</div> </div> </div> </div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Analysis of the Relationship between the Unitary Impulse Response for the nth-Volterra Kernel of a Duffing Oscillator System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Guillermo%20Manuel%20Flores%20Figueroa">Guillermo Manuel Flores Figueroa</a>, <a href="https://publications.waset.org/abstracts/search?q=Juan%20Alejandro%20Vazquez%20Feijoo"> Juan Alejandro Vazquez Feijoo</a>, <a href="https://publications.waset.org/abstracts/search?q=Jose%20Navarro%20Antonio"> Jose Navarro Antonio</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A continuous nonlinear system response may be obtained by an infinite sum of the so-called Volterra operators. Each operator is obtained from multidimensional convolution of nth-order between the nth-order Volterra kernel and the system input. These operators can also be obtained from the Associated Linear Equations (ALEs) that are linear models of subsystems which inputs and outputs are of the same nth-order. Each ALEs produces a particular nth-Volterra operator. As linear models a unitary impulse response can be obtained from them. This work shows the relationship between this unitary impulse responses and the corresponding order Volterra kernel. <iframe src="https://publications.waset.org/abstracts/29423.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Volterra%20series" title="Volterra series">Volterra series</a>, <a href="https://publications.waset.org/abstracts/search?q=frequency%20response%20functions%20FRF" title=" frequency response functions FRF"> frequency response functions FRF</a>, <a href="https://publications.waset.org/abstracts/search?q=associated%20linear%20equations%20ALEs" title=" associated linear equations ALEs"> associated linear equations ALEs</a>, <a href="https://publications.waset.org/abstracts/search?q=unitary%20response%20function" title=" unitary response function"> unitary response function</a>, <a href="https://publications.waset.org/abstracts/search?q=Voterra%20kernel" title=" Voterra kernel"> Voterra kernel</a> </p> <a href="https://publications.waset.org/abstracts/29423/analysis-of-the-relationship-between-the-unitary-impulse-response-for-the-nth-volterra-kernel-of-a-duffing-oscillator-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29423.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">669</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" 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Analysis of the Relationship between the Unitary Impulse Response for the nth-Volterra Kernel of a Duffing Oscillator System