新3D自治混沌系统的分析与电路设计

摘要

构造了一类新的混沌系统，该系统含有四个参数以及两个非线性项。对系统的平衡点的稳定性进行了分析，并利用分岔图与Lyapunov指数分析了系统参数对该系统动力学行为的影响。同时运用Multisim软件仿真了该系统的混沌电路。结论证实了数值仿真与电路结果的一致性，揭示了该系统具有丰富的动力学特性以及混沌系统的可实现性。%A newly-designed chaotic system,which contains four parameters and two nonlinear terms,is in-troduced in this paper. The stability of equilibrium point and the effect of system parameters of this system are also analyzed,by using the bifurcation diagram and Lyapunov exponent;and in the meantime,the chaotic circuit of the system is designed by using Multisim software. The experimental results confirmed the consistency of the re-sults of numerical simulation and circuit,its abundant dynamics characteristic and realization.