一个新混沌系统

A new chaotic system

构造了一个不同于经典的Lorenz系统、Chen系统和Lü系统的三维连续自治混沌系统,利用理论分析和相图、时间响应图、Lyapunov指数谱和分岔图等非线性动力学分析方法,研究了新混沌系统的一些基本动力学特性.分析结果表明,系统是耗散的,存在两个不稳定平衡点,轨线是有界的.当参数变化时该混沌系统表现出丰富的动力学行为.

A three-dimensional continuous autonomous chaotic system is constructed,which is different from classic Lorenz system,Chen system and Lü system.Some basic dynamical properties of the new system are analyzed by means of theoretical analysis and nonlinear techniques,such as phase diagram,time response diagram,Lyapunov exponent spectrum and bifurcation diagram.Results show that the system is dissipative,which has two unstable equilibrium points and the trajectory is bounded.The chaotic system has abundant dynamical behaviors when the parameter varies.