Period-doubling cascades and strange attractors in the triple-well φ6-Van der Pol oscillator

被引：6

作者：

Yu, Jun ^{[1
,2
]}

Zhang, Rongbo ^{[1
]}

Pan, Weizhen ^{[1
]}

Schimansky-Geier, L. ^{[2
]}

机构：

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

[2] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

来源：

PHYSICA SCRIPTA | 2008年 / 78卷 / 02期

关键词：

D O I：

10.1088/0031-8949/78/02/025003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Duffing-Van der Pol equation with the fifth nonlinear-restoring force is investigated. The bifurcation structure and chaotic motion under the periodic perturbation are obtained by numerical simulations. Numerical simulations, including bifurcation diagrams, Lyapunov exponents, phase portraits and Poincare maps, exhibit some new complex dynamical behaviors of the system. Different routes to chaos, such as period doubling and quasi-periodic routes, and various kinds of strange attractors are also demonstrated.

引用

页数：5