一个新的超混沌系统

A Novel Hyperchaotic System

构造了一个新的四维超混沌系统,用数值模拟的方法研究了该系统的超混沌吸引子的相图、系统的分岔图、Lyapunov指数谱图和Lyapunov维数等.分析结果表明,新的四维系统当参数满足一定条件时,具有两个正的Lyapunov指数,是一个超混沌系统,随着新引入的参数变化呈现出丰富的动力学行为.

This paper reports a novel four-dimensional hyperchaotic system. The phase diagram, bifurcation diagram and Lyapunov exponents spectrum diagram and fractal dimension of the system are analyzed by means of numerical simulations. Results show this system is a new four-dimensional hyperchaotic system with two positive Lyapunov exponents when its parameters satisfy certain conditions. The new system shows rich dynamical behaviors when the parameter varies.