CINXE.COM

Just a moment...

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '913535225f7cd47e',cH: '.lgNekvFzFW7xE5Dt5YH_ppRBlAtl2p3phVDQEhOu1g-1739789332-1.2.1.1-iht9S6bNVWZ5V1mud_0DKTdgeiiKASQ8iNzVnG9YLNkAYadakTif1PIjvdlvwTKV',cUPMDTk: "\/abstracts\/search?q=chaotic%20systems&__cf_chl_tk=hAmSSq7Br55_CiIrccd0UYqaLHuFkbeu2kUANQ1R1rE-1739789332-1.0.1.1-Y1YijO55TSTADPNZorfWeJXH4AXbO8vFEf8Woit_U_c",cFPWv: 'b',cITimeS: '1739789332',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=chaotic%20systems&__cf_chl_f_tk=hAmSSq7Br55_CiIrccd0UYqaLHuFkbeu2kUANQ1R1rE-1739789332-1.0.1.1-Y1YijO55TSTADPNZorfWeJXH4AXbO8vFEf8Woit_U_c",md: "n8XJnywSprm2efj5vlepLilG9tJmVMTRkCnZpMRn8Pw-1739789332-1.2.1.1-AKj8FBpW6uLWCQsjCMi.xg3BHl47SLqn77GMrZ5Yg8piDXoKaipHtOfD7kkyFxiewfujgw9SrcXkg7V0zq4n2pDzkv8xa9hu_QNFA.RYpMm6coYn5fI.XbtRHJIhBbiHuq3NUOaa71U3AM..gtfB5oouZ5Z2FwTERnb1x7QHMHwamlsxEPbg43HD1Sl4X3SvxuO9y8PyAnUQxRim6zfiP3GbPi7vVrSQz_PvbvLiPsBtYetiv_w53VHz9EJrZgOt4ROaATDJ5Ij3h6h3ZOAJu0WIOQW9gKrBVsGIkvFAj7oGZ9hWflU75BNz1Rrz.6cx6DIzdWeJCy2_60un7OR09hcvc8NfUUIcudbZuGxr7fFgCWejkOeBypkMu_E_OftZewHqzIZhb2n4mPBkmLBFsE3w8A9OSMueZyt1hqgP6MNluxqSN7m3Jpr2sZMRJ2hePz.xnsrXmQ_Ruaxo.BgcqS7BqG2lbCprEikYZGzRFTO6MiRZGvkY6UcRbglP6Fhk57ePumkISOVutTVHc.7FqCaRn0urLSIVQxIJl1vCtqQn9C0_F8tKcMDKpOttXa1wndQRyDF2RffR5LLJKS2kI.zQuTAu1ajBU7.lylF6DpFbOQT5IkWUrZ1fgQSy1J5giGv4l_tslZI78muWlqMnnfssKkT6NOFfFgWq7roMW7A0hBxBrq1HTLcA65vnl.yCC9UVyKBK04hKSasjwv0TGB8TO8Ik2dpKK2Xvd4u8BauHBDk2F2feuY7OBcpJh0OKnWVmUVsQjpOac0qLV8y.8QRGQA0oDfJJHskno23peRlFP9kZJeWY2GOzttjCHe.0F88MC7mJkC3x5t0kilUZ40hfFDYvJAXuH_SiIF.LjZNawmq3v9eSJs.jXWvsXvLuj3pL5toL.CTyH0nMgl895XIPDte7PHdusUtLVELZHjSBIBGPq4VLg5VM583goYgMu7cv9bc5GimNcxiCxNfhzCYmzWbRBCsARuLsJfLZNM0N1jjGaFcTG9enZU0NTZ2nMPpz4W0FjhIH5nEoKqOnu1i58tvan7LpHU8jvlE.xSuLP2egPOQvHBTFFjl4aElYbz_fVhakdhokxIRr5QkrDX_OnEw1XFrGgvGsu0BVaUd9kg2OdKyFNK4rkgfIZrfn_r8NaP8YQXFdMr5pqng4Kp0lqqHexqsGRtgdG5TXHvyDPIQ.VCNiYpcKN9nMa1uqnewsGxH8GN2d94faiL76YwkTP7jjbxl7JvcfZm2HLgYQAr3dVPfIV5ydTqkEUoee9LcxTpQJzl7h7tJH2zDHHzNatJfE2tazgRtDMQbBhhgF2WhudTLPP3hYzxdE68sqP0Wyk7trt085eai_EfCvewPLOqWG3aAScLBSy9ElPBTwtJESGsXHVcFO89WVyrecuVS01wnMY3sguH7zygeFxLk3gHRWSD634b8N6GrzZ6gBgIMeiPNLs8iQcYMSUmcVywVXOYJaCZQq6qs9XDGpESua8B1Ugmm9KxfPsEFxBARRciyNtctdz9OpdJg.PXTYYEC0tZAshJfSVmQ1nRzUIMhmmDzFV0HUcLw8srq_YQvBwtBUs_8raZsnIEnXlJDjBSH4de63RouflahPPqXkSyzRi5oP.Ogv7mwwRREKB_DI4t.J2ljbVQ7ol5KTWHL69indCT1zz0b8CcC8Ay6isGWDkaXP2DQyJf.NMPXmKKXPnCXuW3400_79gRbmHg6uymPnzsAgjyNLbKbSqxTu21066cHeeuyq2vhV5ddhWG_LL.Yd6djLacmgidkwHXEjPaApay5JIUmNS12QQrlxwFSl3UBv1uc3c0DIyEsDDIeHkERarLJ13Zn0gbyFsrsSxiGp.gQzvWMdxJ5kN10fvlbsTHZ8VOZLoWjo923cT3Q_PPQB.qkTpc9t6azyuuRUFl5Xd5lw_nEiZA8hFeTMsPQWcYJWrdZ9krjx9mYPaOI",mdrd: "XFx9LeG.MD5sLK.8kKPkylMoU5_v.9UEdCpFPZ3OmR0-1739789332-1.2.1.1-8LQ3DwgdfrpQeTckOArtEoeMo9XKo4IujfLuJCozV8wzD3JZLEkZ5SrN8ZVdz78HdEg3Dtj44okmPrH9bvYccyc6dRyamd4pFOFP5qviMQOniGNOocvfrlgenuew.hL9CKybrEV1EzO1BH4XbGjXRD54YdZf1qt8XN7FVg6a64CaDuPTHO8KOFz6AVCbjOyDIxAPNb1K7mOVGF0XyA5eNWaCKV0LSkQjpW.EaYTZuLgwUg3SccGzUGGaZES91So3tHb4NDKwuEMW5kYueoHljJCUVaKphn8PD4_h6NPfxuZIc6Z9hqbxqOfCbe1FK_gJPBUFaeTGv3m8lsB2tywU4o.KelXc0j3FbWCSK89JQYwfMuFc4RAg_xg9d6DWzY.B3eV1bjUSYr_twD7iOGzL9M5qYEkiBV8Oixwdrv3xYKDtmRrjF6CX1lIkHgxrxnSULvY0XqCHGYxlu0sRGwT.hTJxfaEE9vEtXP4_BdCHr4kKIIBDoZSYK1zz0EhFqk7IBsRGJ4deF3t9O31XQxnqC4mptKXsKYGP6qidiQA8.hym4Ct6Lalb1L.kIcsVggtZUdqXej4YDBikYsg3UAkFn.E_cpszAgPpWWSTDJ11pOCKtZ7bZrEp7EQA42Bv4OoqRb.VT9TmuokZK5INmfPiisu75Vs1Iud7mH1XXE8sGTl6Y.nIkSUPYYMQVmc_olsw6UtgM6jCBXTvVTQwiyKSHu1rwEqVm1k4mW_5IklPVmO30MxztsTlbcyYJCmxu_6y6d8umP.QpNK0tWOI6BVnn8osRtBXaxLRhN0ZUBFzrN94QIGEaSV8RRJ5KDo_D8xGa7_fdCmO4MJgoBrkm5yG4SmbMsZwd6KPe_thnHKEwc89dtLM9UNNxB_1nQUrIgu4pF5.AeVNHdGPE5eDIq5qOWhHQjHwDzmwY6x2UU2954s3aUOGcciQkqXoTcmCN__r78A6WifPLFN57VvV8glCusqK9SUiEvPI.EjSL.qadwamDhUBysGDGo2CLRAED7tds7js0j65cevUQxBRmTZkG2NAJqMk04QAkMZtj0L7ync8ufg0Zkvby.2R8_.PqfJsifwFAzwh6aeWWzaVqkcQi26nY0UBZ117WBrTCkYc0Re1pxJs7K0u5hO_q0LBaL9YW3zfXhQB_Il9NSVx8jb.44633MC7M9GclYrWv_HkhnentMl33_.WdWoIPJGqHq5eI.PUWZIyUyia0ZIonv9rB3bS5hDCgyWSrckRjgSn8cVp3XHy9n9_03rHauGRmE.5LFy8tGZmMB3njzykg8EkEs7HGVX.Fx0HwR0UMWuJFdQ5GC2dVyHu2EnUTnyEhlVsn99t36dFGQKSPeIGXU6OH20tdhMh82mVRjX2KTi9JfMQeRWAeUtI32AZ9JGuXAwuqyoDVvMrb_vYJOzjfxNmoUNMi3L3_eUL8eQ._DfT.rMqIMxduCzGOH_vMUeWaA59hd8D6JSgGe0EZAtUg52.pr3iJYpiDh2FBGu4AfKDSTmOgdWHsTFofBfN8EhtFSSGRpP_a0YdQQIj7qGkBwORQCe9PlZDPxlc3PTNg9DQAhETTZLHXXqwyHa.mX_UGqpC2ISuLzDk5SaFRg87Zsc5m_ky524LaEJgU1hTz8x_G4hlJmdCX_zq4MPawoeCFq5118U6TU_2CqQpMOtGLcPEEReSD0joy8_moTV9oIfpRtLzBuH4dgzc8aepu21xs9YFLfF35Uj5qNmzVfzpQxD9QlUv4MG1S0amX4Ceyv1OMnYMMYvbCg1OUgtVPm2g1E7efmGRcFOvRCuyOiPVhIuS6x_uq0BZ4kswEGpcBxH6PsT6MA6sT7OTEZ1GcAPn5Xd2QC01bqkrJjpInzgqOyPrhtTBRmuMbzaEPAIoRUMrimTAVxAOoYobrA.cxxYKze0BSySeKTChBpZtz5JDUHeGtQMDDJhEzrw3J1FbvK7jYjKwY764fCobKAJcfkb27sptoiE5qRBeSwvqBLP3Y46etg"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=913535225f7cd47e';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=chaotic%20systems&__cf_chl_rt_tk=hAmSSq7Br55_CiIrccd0UYqaLHuFkbeu2kUANQ1R1rE-1739789332-1.0.1.1-Y1YijO55TSTADPNZorfWeJXH4AXbO8vFEf8Woit_U_c" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>