Forming and implementing a hyperchaotic system with rich dynamics

doi:10.1088/1674-1056/20/9/090510

中国物理B ›› 2011, Vol. 20 ›› Issue (9): 90510-090510.doi: 10.1088/1674-1056/20/9/090510

Forming and implementing a hyperchaotic system with rich dynamics

刘文波¹, 邓榤生², 陈关荣²

(1)College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; (2)Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China

收稿日期:2010-09-27 修回日期:2011-05-30 出版日期:2011-09-15 发布日期:2011-09-15

Forming and implementing a hyperchaotic system with rich dynamics

Liu Wen-Bo(刘文波)^a)†, Wallace K. S. Tang(邓榤生)^b), and Chen Guan-Rong(陈关荣)^b)

^a College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; ^b Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China

Received:2010-09-27 Revised:2011-05-30 Online:2011-09-15 Published:2011-09-15

摘要/Abstract

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.

Abstract: 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.

Key words: chaotic circuit, circuit implementation, hyperchaotic system, Lyapunov exponent

中图分类号: (High-dimensional chaos)

05.45.Jn

刘文波, 邓榤生, 陈关荣. Forming and implementing a hyperchaotic system with rich dynamics[J]. 中国物理B, 2011, 20(9): 90510-090510.

Liu Wen-Bo(刘文波), Wallace K. S. Tang(邓榤生), and Chen Guan-Rong(陈关荣) . Forming and implementing a hyperchaotic system with rich dynamics[J]. Chin. Phys. B, 2011, 20(9): 90510-090510.

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Forming and implementing a hyperchaotic system with rich dynamics

Forming and implementing a hyperchaotic system with rich dynamics

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