Hyperchaos in a modified canonical Chua's circuit

被引:151
作者
Thamilmaran, K [1 ]
Lakshmanan, M
Venkatesan, V
机构
[1] Bharathidasan Univ, Dept Phys, Ctr Nonlinear Dynam, Tiruchirappalli 620024, India
[2] Nehru Mem Coll, Dept Phys, Tiruchirappalli 620007, Tamil Nadu, India
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 01期
关键词
chaos; hyperchaos; modified canonical Chua's circuit; border-collision bifurcation;
D O I
10.1142/S0218127404009119
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we present the hyperchaos dynamics of a modified canonical Chua's electrical circuit. This circuit, which is capable of realizing the behavior of every member of the Chua's family, consists of just five linear elements (resistors, inductors and capacitors), a negative conductor and a piecewise linear resistor. The route followed is a transition from regular behavior to chaos and then to hyperchaos through border-collision bifurcation, as the system parameter is varied. The hyperchaos dynamics, characterized by two positive Lyapunov exponents, is described by a set of four coupled first-order ordinary differential equations. This has been investigated extensively using laboratory experiments, Pspice simulation and numerical analysis.
引用
收藏
页码:221 / 243
页数:23
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