文献类型：期刊文献

中文题名：Chaos in the perturbed Korteweg-de Vries equation with nonlinear terms of higher order

英文题名：Chaos in the perturbed Korteweg-de Vries equation with nonlinear terms of higher order

作者：Pan Wei-Zhen[1];Song Xiang-Jiong[1];Yu Jun[1]

机构：[1]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China

年份：2010

卷号：19

期号：3

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000275660700003)、CSTPCD、、EI(收录号：20101212801280)、Scopus(收录号：2-s2.0-77949710011)、CSCD2011_2012、WOS、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant No. 10875078) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y7080455)

语种：英文

中文关键词：混沌行为;周期扰动;非线性项;德弗里斯;方程;Lyapunov;高阶;动力学行为

外文关键词：generalized KdV equation; bifurcation; chaos

中文摘要：The dynamical behaviour of the generalized Korteweg-de Vries(KdV) equation under a periodic perturbation is investigated numerically.The bifurcation and chaos in the system are observed by applying bifurcation diagrams,phase portraits and Poincar maps.To characterise the chaotic behaviour of this system,the spectra of the Lyapunov exponent and Lyapunov dimension of the attractor are also employed.

外文摘要：The dynamical behaviour of the generalized Korteweg-de Vries (KdV) equation under a periodic perturbation is investigated numerically. The bifurcation and chaos in the system are observed by applying bifurcation diagrams phase portraits and Poincare maps. To characterise the chaotic behaviour of this system, the spectra of the Lyapunov exponent and Lyapunov dimension of the attractor are also employed.