Forming and implementing a hyperchaotic system with rich dynamics

被引：5

作者：

Liu Wen-Bo ^{[1
]}

Tang, Wallace K. S. ^{[2
]}

Chen Guan-Rong ^{[2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

来源：

CHINESE PHYSICS B | 2011年 / 20卷 / 09期

关键词：

chaotic circuit; circuit implementation; hyperchaotic system; Lyapunov exponent; UNIFIED CHAOTIC SYSTEM; STATE-FEEDBACK CONTROL; CIRCUIT IMPLEMENTATION; LORENZ SYSTEM; ATTRACTORS; SYNCHRONIZATION; GENERATION;

D O I：

10.1088/1674-1056/20/9/090510

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A simple three-dimensional (3D) autonomous chaotic system is extended to four-dimensions so as to generate richer nonlinear dynamics. The new system not only inherits the dynamical characteristics of its parental 3D system but also exhibits many new and complex dynamics, including assembled 1-scroll, 2-scroll and 4-scroll attractors, as well as hyperchaotic attractors, by simply tuning a single system parameter. Lyapunov exponents and bifurcation diagrams are obtained via numerical simulations to further justify the existences of chaos and hyperchaos. Finally, an electronic circuit is constructed to implement the system, with experimental and simulation results presented and compared for demonstration and verification.

引用

页数：8

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