中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100502-100502.doi: 10.1088/1674-1056/19/10/100502
杨宁宁, 刘崇新, 吴朝俊
Yang Ning-Ning(杨宁宁)a)b)† , Liu Chong-Xin(刘崇新)a)b), and Wu Chao-Jun(吴朝俊)a)b)
摘要: In this paper, some basic dynamical properties of a four-dimensional autonomous hyperchaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this new hyperchaotic system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit experiment. An efficient approaching is developed for global asymptotic stabilization of this four-dimensional hyperchaotic system. Based on the method of inverse optimal control for nonlinear systems, a linear state feedback is electronically implemented. It is remarkably simple as compared with other chaos control ways, like nonlinear state feedback.
中图分类号: (Bifurcation theory)