一种新超混沌系统的动力学分析和控制研究

在一个三维自治系统的基础上添加控制变量,得到新的超混沌系统.给出了固定参数下系统的相图和吸引子图,分析该系统的平衡点、稳定性、耗散性、Lyapunov指数等性质证实该系统具有复杂的超混沌性.进一步地根据Routh-Hurwitz判据,利用了线性反馈控制和错位反馈控制将系统控制到不稳定的平衡点,并通过数值仿真说明控制器的有效性.

Study on Dynamic Analysis and Control of a Novel Hyperchaotic System

A novel hyperchaotic system which is constructed based on a 3D autonomous system by adding an additional state variable is presented. The phase portraits and hyperchaotic attractor are given to prove it is hyperchaotic, together with some basic dynamical behaviors, such as the equilibrium, stability, dissipation and Lyapunov exponents. Furthermore, according to the Routh-Hurwitz criterion, the linear feedback control and dislocated control are used to suppress the hyperchaos to the unstable equilibrium. In the end, numerical simulations are applied to verify the effectiveness of the controllers.