一个三维非线性系统的混沌动力学特征

THE CHAOTIC CHARACTERS OF A 3-DIMENSIONAL NON-LINEAR DYNAMICS

根据三维混沌系统Lorenz吸引子和Chen’s吸引子线性部分的系数特征,构造了一个三维非线性动力系统,并研究了其混沌动力学特征,包括相轨迹图、最大Lyapunov指数、Lyapunov指数谱和Poincare映射.这些特征都表明,该系统具有混沌吸引子.

Based on the linear coefficient character of Lorenz attractor and Chen＇s attractor, we coined a 3-dimension non-linear dynamics, and studied its chaotic characters, including the space trajectory, the largest Lyapunov exponent, the Lyapunov exponent spectra and the Poincare map. All these characters show that the non-linear dynamics exists chaotic attractor.