一个新五维超混沌系统的动力学分析

摘要

A new five-dimensional hyperchaotie system is constructed by adding a linear feedback controller to the Lorenz hyperchaotie system. The basic dynamic behaviors of the system including the stability of equilibriums, the bifurcation diagram, strange attractors and Lya- punov exponents were analyzed hy means of numerical simulations. Results show this five-dimensional hyperchaotic system has the periodic, the chaos and the hyperchaos dynamic behaviors when the system parameter is varied in detail. Besides, the parameter range which makes the system in hyperchaos state is extended and it can be used to secured communication.%基于超混沌Lorenz系统,通过引入一个线性控制器,构造了一个新的五维超混沌系统。采用数值模拟的方法,研究了该系统的动力学行为,包括平衡点的稳定性、系统分叉图、混沌吸引子相图、Lyapunov指数谱等。结果表明,新五维超混沌系统随着引入参数的变化呈现周期、混沌及超混沌等动力学行为,并且扩大了系统处于超混沌状态的参数范围,可用于混沌保密通信。