一类新四维T混沌系统的动力学分析

Dynamics Analysis for a new Four-dimensional T Chaotic System

构造了一类新的四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Matlab分析系统的分岔图与Lyapunov指数,从而表明新混沌系统对系统参数的敏感性.研究结论证实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.

In this paper, a new four-dimensional continuous autonomous chaotic system is constructed, which contains the three parameters and three nonlinear terms.The stability of equilibrium point of the chaotic system, is analyzed Analysis of Bifurcation diagram and Lyapunov exponent of the system is also analyzed by using Matlab,which shows that the sensitivity of a new chaotic system to system parameters, and chaotic system is disclosed having abundant dynamics characteristic and realization.