摘要
通过数值计算、理论推导分析了一个类Lorenz混沌系统的基本动力学特性,并通过数值仿真、相图、Poincare截面图和功率谱研究了这个系统的混沌行为。然后,构建一个受控系统并利用Lyapunov指数谱、分叉图分析了该系统混沌吸引子的形成机制。结果表明,该系统混沌吸引子可由两个卷形状演化为一个卷形状,并最终通过倍周期分叉的过程演化为周期运动的形状。
Some basic dynamical properties of a new Lorenz - like chaotic system are analyzed by means of numerical value calculating and theoretical deducing, and the chaotic behaviors of the chaotic system is studied via numerical simulation, phase diagram, Poincare mapping and power spectrum. A controller of the Lorenz- like system is constructed further, the forming mechanism of the chaotic attractor is studied by Lyapunov exponent and bifurcation diagram, the results show that the chaotic attractor is obtained by merging together two simple attractors after performing one mirror operation, and the periodic form is evolved through a series period- doubling bifurcations finally.
出处
《安阳师范学院学报》
2008年第5期27-31,共5页
Journal of Anyang Normal University
作者简介
袁地（1981-）．男，河南省驻马店市人，安阳师范学院助教，硕士，主要从事非线性动力学与模拟控制研究。
