THE ORIGINS OF CHAOS IN A MODIFIED VANDERPOL OSCILLATOR

被引：48

作者：

HEALEY, JJ

BROOMHEAD, DS

CLIFFE, KA

JONES, R

MULLIN, T

机构：

[1] ROYAL SIGNALS & RADAR ESTAB,MALVERN WR14 3PS,WORCS,ENGLAND

[2] UKAEA,HARWELL LABS,HARWELL OX11 0RA,BERKS,ENGLAND

来源：

PHYSICA D | 1991年 / 48卷 / 2-3期

关键词：

D O I：

10.1016/0167-2789(91)90091-M

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

An experimental and theoretical investigation of a modified Van der Pol oscillator has led to the discovery of degenerate bifurcations which control the global dynamics of the system. A two-dimensional parameter space for the oscillator is studied and the measured loci of critical points, where a qualitative change of behaviour is observed, are given in detail. It is shown explicitly, by analysis of the experimental data, that chaos arises through the Silnikov mechanism.

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收藏

页码：322 / 339

页数：18

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