On the chaotic dynamics in two coupled partial differential equations for evolution of surface plasmon polaritons

被引：4

作者：

Burov, D. A. ^{[1
]}

Evstigneev, N. M. ^{[1
]}

Magnitskii, N. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Syst Anal, Moscow, Russia

[2] Lomonosov Moscow State Univ, Fac Computat Math & Cybernet, Moscow, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 46卷

关键词：

Surface plasmon polaritons; Hopf bifurcation; Period-doubling; Bifurcation; Pseudo-spectral method; NONLINEAR SCHRODINGER-EQUATION; STIMULATED-EMISSION; NUMERICAL-SOLUTION; PAINLEVE ANALYSIS; WAVE-GUIDES; GAIN; TIME; SOLITONS; COMPENSATION; PROPAGATION;

D O I：

10.1016/j.cnsns.2016.10.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper two coupled (linear and nonlinear) equations are studied. These equations describe dynamics of surface plasmon polaritons at dielectric-metal-dielectric surfaces. Previously constructed bifurcation diagram of an analytical spatially homogeneous solution is refined and verified by direct simulations. Further research is conducted using numerical scheme based on spectral method. The 2/3 de-aliasing rule is used to cope with nonlinearity along with pseudo-spectral approach. An Andronov-Hopf bifurcation of a stable limit cycle and a period-doubling bifurcation of a stable limit torus were found. Floquet theory was applied to verify bifurcations. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：26 / 36

页数：11

共 65 条

[11] Exact solutions for the quintic nonlinear Schrodinger equation with time and space modulated nonlinearities and potentials [J].