文献类型：期刊文献

英文题名：Investigation on Dynamics of the Extended Duffing-Van der Pol System

作者：Yu, Jun[1];Li, Jieru[2]

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：64

期号：5-6

起止页码：341

外文期刊名：ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

收录：SCI-EXPANDED(收录号：WOS:000268540800007)、、Scopus(收录号：2-s2.0-67649817717)、WOS

基金：The 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). The authors are grateful to Prof. Lutz Schimansky-Geier and Dr. Tiak Wan Ng for their valuable discussions. We also would like to express our sincere thanks to the referees for their useful suggestions.

语种：英文

外文关键词：Extended Duffing-Van der Pol Oscillator; Bifurcation; Chaos

外文摘要：The chaotic motion in periodic self-excited oscillators has been extensively investigated through experiments and computer simulations. However, with the advent of the Study of chaotic motion by means of strange attractors, Poincare map, fractal dimension, it has become necessary to seek for a better understanding of nonlinear system with higher order nonlinear terms. In this paper we consider an extended Duffing-Van der Pol oscillator by introducing a nonlinear quintic term. The dynamical behaviour of the system is investigated by using Melnikov analysis and numerical simulation. The results can help one to understand the essence of given nonlinear system.