文献类型：期刊文献

英文题名：Dynamical behavior in the perturbed compound KdV-Burgers equation

作者：Yu, Jun[1,2]; Zhang, Weijun[1]; Gao, Xiaoming[1]

机构：[1]Chinese Acad Sci, Anhui Inst Opt & Fine Mech, Lab Environm Spect, Hefei 230031, Peoples R China;[2]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China

年份：2007

卷号：33

期号：4

起止页码：1307

外文期刊名：CHAOS SOLITONS & FRACTALS

收录：SCI-EXPANDED(收录号：WOS:000246609700023)、、EI(收录号：20071210496635)、Scopus(收录号：2-s2.0-33947110371)、WOS

基金：The work is supported by the Natural Science Foundation of Zhejiang Province of China (Grant no.101003) and the Foundation of “151 Talent Engineering” of Zhejiang, China. One of the authors (Yu) would like to thank Dr. Tiak Wan Ng, Profs. Senyue Lou and Min Qian for their helpful discussions.

语种：英文

外文关键词：Bifurcation (mathematics) - Chaotic systems - Lyapunov functions - Numerical methods - Perturbation techniques - Phase diagrams

外文摘要：The dynamical behavior of the perturbed compound KdV-Burgers equation is investigated numerically. It is shown that the chaotic dynamics can occur when the compound KdV-Burgers equation is perturbed by periodic forcing. Different routes to chaos such as period doubling, quasi-periodic routes, and the shapes of strange attractors are observed by applying bifurcation diagrams, the largest Lyapunov exponent, phase projection and Poincare map. (c) 2006 Elsevier Ltd. All rights reserved.