基于一种新的混沌系统的动态分析和图像显示

摘要

提出一种三维连续自治混沌系统.与Lorenz、R迸ssler、Chen、Lü等混沌系统不同的是此系统存在三项二次非线性项.针对混沌系统的基本的动力学特性进行分析,得到系统相应的李雅普诺夫指数谱、庞加莱截面、连续谱以及分岔图,揭示了混沌系统的本质.最后通过Matlab编程,Simulink建模以及Multisim电路设计,电路的Mutisim仿真结果与系统的Matlab仿真结果完全一致,都呈现出了相同的混沌吸引子.%This paper proposes a new three-dimensional continuous autonomous chaotic system.Different from all oth-er chaotic systems like Lorenz, R迸ssler, Chen, Lü systems, two quadratic terms co-exist in the third equation of this new chaotic system.In view of some basic dynamical properties, such as Lyapunov exponents, Poincare mapping, continuous spectrum and bifurcation diagram are studied, and the natures of the chaotic system are revealed.Finally, three different kinds of image displays have been investigated by means of the Matlab programming, Simulink model as well as the circuit design of Multisim.Simulation results show that they are consistent with the corresponding numeri-cal simulation results of system equations.