一个新混沌系统的动力学性质讨论

Dynamical Properties of a New Chaotic System

提出一个新的混沌系统,分析了它的动力学性质,即平衡点的稳定性、耗散性、吸引子的存在性、Lyapunov指数、分数维、分岔图谱图、最大的Lyapunov指数图与庞开莱图,分析显示得到的系统是一个新的混沌吸引子.

In this paper a new chaotic system is produeed, whose dynamical properties, such as stability and dissipation of the equalization point, the existence of absorption moleeule, Lyapunov index, fractal dimension, bifurcation map, the biggest Lyapunov index map and so on have been analyzed, the result showing that the system is a new chaotic attractor.