TRANSITION TO HYPERCHAOS IN COUPLED GENERALIZED VANDERPOL EQUATIONS

被引：63

作者：

KAPITANIAK, T

STEEB, WH

机构：

[1] UNIV LEEDS,DEPT APPL MATH STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND

[2] UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND

[3] RAND AFRIKAANS UNIV,DEPT APPL MATH & NONLINEAR STUDIES,JOHANNESBURG 2000,SOUTH AFRICA

来源：

PHYSICS LETTERS A | 1991年 / 152卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(91)90624-H

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It has been shown that two coupled generalized van der Pol equations can show hyperchaotic behaviour, i.e. the first two one-dimensional Lyapunov exponents are positive. The scaling law for transition from chaos to hyperchaos based on the properties of the Poincare map has been found. For fixed parameter values we also found that different behaviours of the system, such as limit cycles, chaos and hyperchaos, can coexist.

引用

页码：33 / 36

页数：4

共 12 条

[1] GENERIC BEHAVIOR OF COUPLED OSCILLATORS [J].