新混沌系统及其特性分析

The Property Analysis of a New Chaotic System

提出了一个新的不同于Lorenz系统和Chen系统的三维自治混沌系统。这个混沌系统的奇怪吸引子与Lorenz、Chen系统、Lü系统以及Liu系统不同,存在六个平衡点,其拓扑结构与它们的拓扑结构也完全不同。该系统含有五个参数,其中三个方程中均含有非线性项。分析了该新系统的混沌吸引子相图、平衡点及其性质、Lyapunov指数和分形维数等非线性动力学特性。

A new three-dimensional chaotic system is reported in this paper, which is different from the Lorenz and chert systems. The attractor of the chaotic system is different from the Lorenz Chert Lu., and their topology structures are totally different The new chaotic system have six equilibrium points. This new system contains five parameters and three nonliner items. The nonliner dynamic properties of the new system are analysized via attractor ＇s phase portraits equilibrium points lyapunov exponent poincare diagrams and fractal dimension.