利用非线性反馈控制Henon混沌系统的低周期态

对混沌系统实施有效控制是利用混沌的重要环节，提出1种利用非线性反馈控制Honen系统混沌运动的方法．根据混沌系统稳定性理论，确定反馈系数的取值范围；利用描绘系统分岔图和计算Lyapunov指数数值研究方法，验证理论分析的正确性．采用连续控制不仅可以实现不动点的镇定，而且可以将混沌系统控制到二周期态；使用间歇控制可以将混沌系统控制到三周期态．该方法控制目标明确，反馈增益的取值范围容易确定。

Control of low-periodic condition in Henon chaotic system with nonlinear feedback

It is important for using chaos to control this chaotic system in an effective manner.An approach to control chaotic motion of Henon was proposed based on nonlinear feedback.The assignment range of feedback coefficient was determined by using the theory of stability for dynamics system.By using the numerical analysis methods of bifurcation diagram and Lyapunov exponent,the theoretical analysis was proved to be valid.The system could be controlled from chaos to the equilibrium point,and even to the steady two-periodic orbits by using the continuous nonlinear feedback.The steady three-periodic orbits could be obtained by means of intermittent nonlinear feedback.The aim of this control method is explicit and the assignment range of feedback gain is easy to determine.