一个新混沌系统及其电路仿真

A novel chaotic system and its circuit simulation

提出了一个新的三维自治混沌系统,并对系统的基本动力学特性进行了深入研究,得到系统的Lyapunov指数和维数,给出了系统数值仿真图、Poincare映射图、Lyapunov指数谱和分岔图,重点分析了不同参数变化对系统动力学行为的影响.最后,设计了该混沌系统的硬件电路并运用Multisim软件对该电路进行仿真实现,数值仿真和电路仿真证实了该混沌系统与以往发现的混沌系统并不拓朴等价,是一个新的混沌系统.

In this paper,a novel three-dimensional autonomous chaotic system is reported.The dynamic properties of the new system are investigated via Lyapunov dimension,numerical simulation,Poincare diagrams.Lyapunov exponent spectrum and bifurcation diagrams.The different dynamic behaviors of the system are analyzed especially when each system parameter is changed.Finally,the circuit of this new chaotic system is designed and realized by Multisim software.The simulation results confirm that the chaotic system is different from the exisiting chaotic systems and is a novel chaotic system.