THE CONTROL ACTION OF THE PERIODIC PERTURBATION ON A HYPERCHAOTIC SYSTEM
Zhang Xiao-hui (张晓辉)ab, Shen Ke (沈柯)a
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
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.
Received: 20 January 1999
Accepted manuscript online:
Zhang Xiao-hui (张晓辉), Shen Ke (沈柯) THE CONTROL ACTION OF THE PERIODIC PERTURBATION ON A HYPERCHAOTIC SYSTEM 1999 Acta Physica Sinica (Overseas Edition) 8 651
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