中国物理B ›› 1999, Vol. 8 ›› Issue (9): 651-656.doi: 10.1088/1004-423X/8/9/003

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THE CONTROL ACTION OF THE PERIODIC PERTURBATION ON A HYPERCHAOTIC SYSTEM

沈柯1, 张晓辉2   

  1. (1)Department of Optical Physics, Changchun Institute of Optics and Fine Mechanics, Changchun 130022, China; (2)Department of Optical Physics, Changchun Institute of Optics and Fine Mechanics, Changchun 130022, China; Department of Opto-Electronic Engineering, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:1999-01-20 出版日期:1999-09-15 发布日期:1999-09-20

THE CONTROL ACTION OF THE PERIODIC PERTURBATION ON A HYPERCHAOTIC SYSTEM

Zhang Xiao-hui (张晓辉)ab, Shen Ke (沈柯)a   

  1. a Department of Optical Physics, Changchun Institute of Optics and Fine Mechanics, Changchun 130022, China; bDepartment of Opto-Electronic Engineering, Beijing Institute of Technology, Beijing 100081, China
  • Received:1999-01-20 Online:1999-09-15 Published:1999-09-20

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摘要： This paper presents a four-dimensional nonlinear dynamical system. By the numerical simulation the hyperchaotic attractor, Lyapunov exponents and Lyapunov dimension are obtained, also it is confirmed that hyperchaos can be driven in the system described by the equation. The control action of the periodic perturbation on the autonomous hyperchaotic system is studied, and a control rule is obtained which indicates the relationship of the control action and the frequency characteristics after degeneration of the system. Finaly the circuit implementation of the dynamical system is given.

Abstract: This paper presents a four-dimensional nonlinear dynamical system. By the numerical simulation the hyperchaotic attractor, Lyapunov exponents and Lyapunov dimension are obtained, also it is confirmed that hyperchaos can be driven in the system described by the equation. The control action of the periodic perturbation on the autonomous hyperchaotic system is studied, and a control rule is obtained which indicates the relationship of the control action and the frequency characteristics after degeneration of the system. Finaly the circuit implementation of the dynamical system is given.

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
05.45.Xt (Synchronization; coupled oscillators) 05.45.Gg (Control of chaos, applications of chaos)