一个新的四维超混沌系统及其电路仿真

A novel four-dimensinal hyperchaotic system and its circuit simulation

为产生复杂的超混沌吸引子,基于一个三维混沌系统构造了一个新的四维超混沌系统.分析了该系统平衡点的稳定性、吸引子的相图、系统的分岔图和Lyapunov指数谱等基本动力学特性.结果表明,新的四维超混沌系统随着新引入的参数变化呈现周期、混沌及超混沌动力学行为.最后设计了一个模拟电路,通过实验结果进一步验证了与数值仿真的一致性.

In order to generate complex hyperchaotic attractor,a new four-dimensinal hyperchaotic system based on the three-dimensinal chaotic system is built in the paper.Some of its basic dynamical properties are studied briefly,such as the stability of equilibrium,the phase diagram of attractors,the bifurcation diagram and Lyapunov exponent.Results show that the new system＇s dynamics behavior can be periodic,chaotic and hyperchaotic as the new introduced parameter varies.Finally,an analog electronic circuit is designed to implement the new system,and the experimental results of the non-autonomous hyperchaotic circuit well agreed with the simulation results.