中国物理B ›› 2007, Vol. 16 ›› Issue (3): 660-665.doi: 10.1088/1009-1963/16/3/017

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Chaos synchronization between two different 4D hyperchaotic Chen systems

姜长生1, 刘扬正2, 林长圣3, 蒋耀妹3   

  1. (1)College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; (2)College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;Institute of Nonlinear Physics, Nanjing Institute of Technology, Nanjing 210013, China; (3)Institute of Nonlinear Physics, Nanjing Institute of Technology, Nanjing 210013, China
  • 收稿日期:2006-05-23 修回日期:2006-07-16 出版日期:2007-03-20 发布日期:2007-03-20
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2006-05-23 Revised:2006-07-16 Online:2007-03-20 Published:2007-03-20
  • Supported by:
    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).

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摘要： 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.

关键词: nonlinear feedback control, chaos synchronization, the 4D hyperchaotic Chen system

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.

Key words: nonlinear feedback control, chaos synchronization, the 4D hyperchaotic Chen system

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 84.30.-r (Electronic circuits)