On the chaotic dynamics in two coupled partial differential equations for evolution of surface plasmon polaritons
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- 作者：D.A. Burova ; dburov.190@gmail.com" class="auth_mail" title="E-mail the corresponding author ; N.M. Evstigneeva ; evstigneevnm@yandex.ru" class="auth_mail" title="E-mail the corresponding author ; N.A. Magnitskii ; a ; b ; nmag@isa.ru" class="auth_mail" title="E-mail the corresponding author
- 关键词：Surface plasmon polaritons ; Hopf bifurcation ; Period-doubling ; Bifurcation ; Pseudo-spectral method
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：May 2017
- 年：2017
- 卷：46
- 期：Complete
- 页码：26-36
- 全文大小：1594 K
文摘
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Coupled (linear and nonlinear) Schrodinger equations are studied.
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An Andronov–Hopf bifurcation of a stable limit cycle is found.
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A period-doubling bifurcation of a stable limit torus is found.
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The considered system has a scenario of transition to chaos in accordance with the universal bifurcation Feigenbaum–Sharkovskii–Magnitskii (FSM) theory.