摘要
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.
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 hyperehaos to the unstable equilibrium. In the end, numerical simulations are applied to verify the effectiveness of the controllers.
出处
《西南民族大学学报（自然科学版）》
CAS
2015年第2期214-220,共7页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金资助项目(11201053
11026081)
