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
收藏
页码：1499 / 1507
页数：9
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