一个新五维超混沌系统的分析与电路设计

Analysis and Circuit Design of a Novel 5D Hyperchaotic System

摘要: 本文研究一个新的五维自治超混沌系统，借由系统的对称性、耗散性、平衡点特性和初值敏感性，分析其动力学特性。给出新五维超混沌系统的Lyapunov指数及数值仿真相轨迹曲线，以此说明超混沌吸引子的存在性。本文采用超混沌电路改进型模块化设计方法设计出新五维超混沌系统的模拟电路模型。模拟电路模型仿真产生的超混沌相轨迹曲线定性表明电路仿真结果与数值仿真结果的一致性，以及所设计的模拟电路模型的正确性。

Abstract: A novel five-dimensional (5D) autonomous hyperchaotic system is studied in this paper. The dy-namics are analyzed, including the symmetry, dissipation, equilibrium point characteristics and initial value sensitivity. The Lyapunov exponents of the novel 5D hyperchaotic system, as well as the phase portraits of the numerical simulation, are shown to prove the existence of the hyperchaotic attractors. The analog circuit model is designed via the modified module-based approach to hyperchaotic circuit design. The hyperchaotic phase portraits of the analog circuit model are also given to illustrate the good qualitative agreement between the numerical simulation results of the mathematic model and the circuit simulation results of the analog circuit model, which would demonstrate the correctness of the analog circuit model.