文献类型：期刊文献

英文题名：Bifurcation and chaos in a perturbed soliton equation with higher-order nonlinearity

作者：Yu, Jun[1,2];Zhang, Rongbo[1];Jin, Guojuan[1]

机构：[1]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[2]Abdus Salam Int Ctr Theoret Phys, Trieste, Italy

年份：2011

卷号：84

期号：6

外文期刊名：PHYSICA SCRIPTA

收录：SCI-EXPANDED(收录号：WOS:000298181300004)、、EI(收录号：20115014595056)、Scopus(收录号：2-s2.0-82955246806)、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). The authors thank Dr Tick Wan Ng for valuable discussions, and also appreciate the referees for their helpful comments.

语种：英文

外文关键词：Bifurcation (mathematics) - Chaotic systems - Control nonlinearities - Lyapunov methods - Nonlinear equations - Solitons

外文摘要：The influence of a soliton system under external perturbation is considered. We take the compound Korteweg-de Vries-Burgers-type equation with nonlinear terms of any order as an example, and investigate numerically the chaotic behavior of the system with periodic forcing. It is shown that dynamical chaos can occur when we appropriately choose system parameters. Abundant bifurcation structures and different routes to chaos, such as period doubling, intermittent bifurcation and crisis, are found by applying bifurcation diagrams, Poincare maps and phase portraits. To characterize the chaotic behavior of this system, a spectrum of Lyapunov exponents and Lyapunov dimensions of attractors are also employed.