Chaos synchronization between two different 4D hyperchaotic Chen systems
Liu Yang-Zheng(刘扬正)a)b), Jiang Chang-Sheng(姜长生)a), Lin Chang-Sheng(林长圣)b), and Jiang Yao-Mei(蒋耀妹)b)
a College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; b Institute of Nonlinear Physics, Nanjing Institute of Technology, Nanjing 210013, China
Abstract This paper presents chaos synchronization between two different four-dimensional (4D) hyperchaotic Chen systems by nonlinear feedback control laws. A modified 4D hyperchaotic Chen system is obtained by changing the nonlinear function of the 4D hyperchaotic Chen system, furthermore, an electronic circuit to realize two different 4D hyperchaotic Chen systems is designed. With nonlinear feedback control method, chaos synchronization between two different 4D hyperchaotic Chen systems is achieved. Based on the stability theory, the functions of the nonlinear feedback control for synchronization of two different 4D hyperchaotic Chen systems is derived, the range of feedback gains is determined. Numerical simulations are shown to verify the theoretical results.
Received: 23 May 2006
Revised: 16 July 2006
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 90405011), the Natural Science Foundation of Jiangsu Province, China (Grant No 05KJD120083) and the Natural Science Foundation of Nanjing Institute of Technology, China (Grant No KXJ06047).
Cite this article:
Liu Yang-Zheng(刘扬正), Jiang Chang-Sheng(姜长生), Lin Chang-Sheng(林长圣), and Jiang Yao-Mei(蒋耀妹) Chaos synchronization between two different 4D hyperchaotic Chen systems 2007 Chinese Physics 16 660
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