一类新混沌系统的动力学分析与电路模拟

Dynamical Analysis and Circuit Simulation for a New Chaotic System

构造了一类新的三维连续自治混沌系统,该系统含有三个参数以及三个非线性项.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.

parameters bifurcation In this paper, a new continuous autonomous chaotic and three nonlinear terms. The stability of equilibrium diagram system is constructed, which contains the three point is analyzed the chaotic system,and using the and Lyapunov exponent analysis the effect of system parameters on the chaotic system; Also, the chaotic circuit of the system is designed by using Muhisim software.The experimental results confirmed that the consistency of the results of numerical simulation and circuit, chaotic system is disclosed having abundant dynamics characteristic and realization.