新超混沌及其复混沌系统设计与电路实现

Design and circuitimplementation of new hyperchaos and complex chaos system

构造了一个新的四维超混沌系统,该系统含有6个参数,每个微分方程均含有非线性乘积项。基于Matlab仿真软件分析了该超混沌系统的动力学行为,数值仿真结果表明该系统随参数的变化可产生周期轨道、拟周期轨道、混沌吸引子等丰富的动力学行为。进一步将超混沌系统从实数域扩展到复数域,得到了一个新的复混沌系统,该复混沌系统具有2个正的李雅普诺夫指数,混沌动力学行为丰富。运用Multisim仿真软件搭建了所设计的超混沌系统及其对应的复混沌系统的仿真电路,仿真结果验证了新混沌系统的物理可实现性。

A new four-dimensional hyperchaotic system is constructed. It contains six parameters, and each differential equation contains a nonlinear product term. Based on the Matlab simulation software, the dynamic behavior of the hyperchaotic system is analyzed from the numerical simulation results showed that the system can produce periodic orbits, Quasi-periodic orbits, chaotic attractors and other rich dynamic behaviors with changes of parameters. Furthermore, the hyperchaotic system is extended from the real number domain to the complex number domain, and a new complex chaotic system is obtained. The complex chaotic system has two positive Lyapunov exponents and rich chaotic dynamics. The simulation circuits of the designed hyperchaotic system and its corresponding complex chaotic system are built using Multisim software. The simulation results verify the physical feasibility of the new chaotic system.