PERIODICALLY FORCED CHAOTIC SYSTEM WITH SIGNUM NONLINEARITY

被引：36

作者：

Sun, Kehui ^{[1
,2
]}

Sprott, J. C. ^{[2
]}

机构：

[1] Cent S Univ, Sch Phys Sci & Technol, Changsha 410083, Hunan, Peoples R China

[2] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 05期

基金：

美国国家科学基金会;

关键词：

Chaos; nonautonomous systems; differential equations; bifurcations; signum function; BIFURCATION; BEHAVIOR;

D O I：

10.1142/S0218127410026642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A sinusoidally-driven system with a simple signum nonlinearity term is investigated through an analytical analysis as well as dynamic simulation. To obtain the correct Lyapunov exponents, the signum function is replaced by a sharply varying continuous hyperbolic tangent function. By phase portraits, Poincare sections and bifurcation diagrams, the rich dynamic behaviors of this system are demonstrated, such as an onion-like strange attractor, pitchfork and attractor merging bifurcations, period-doubling routes to chaos, and chaotic transients in the case of small damping. Moreover, the chaos persists as the damping is reduced to zero.

引用

页码：1499 / 1507

页数：9

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