文献类型：期刊文献

英文题名：Chaotic motion for the generalized KdV-Burgers equation with external perturbation

作者：Yu, Jun[1];Li, Jieru[2];Ng, Tick Wan[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Sun Yat Sen Univ, Sch Life Sci, Guangzhou 510275, Guangdong, Peoples R China

年份：2009

卷号：80

期号：6

外文期刊名：PHYSICA SCRIPTA

收录：SCI-EXPANDED(收录号：WOS:000272272000001)、、EI(收录号：20095212579715)、Scopus(收录号：2-s2.0-72249083960)、WOS

基金：This work was supported by the National Natural Science Foundation of China (grant no. 10875078) and the Natural Science Foundation of Zhejiang Province of China (grant no. Y7080455). One of the authors (JY) thanks Professors Lutz Schimansky-Geier and Min Qian for their valuable discussions.

语种：英文

外文关键词：Korteweg-de Vries equation - Lyapunov methods

外文摘要：The bifurcation and chaos in the generalized KdV-Burgers equation under periodic perturbation are investigated numerically in some detail. It is shown that dynamical chaos can occur when we choose appropriately systematic parameters and initial conditions. Abundant bifurcation structures and different routes to chaos such as period-doubling and inverse period-doubling cascades, intermittent bifurcation and crisis are found by using bifurcation diagrams, Poincare maps and phase portraits. To characterize the chaotic behavior of this system, the spectrum of the Lyapunov exponent and the Lyapunov dimension of the attractor are also employed.