多涡卷Chua混沌吸引子的设计与性能分析

为了设计结构复杂、性能优越的多涡卷混沌系统,采用理论分析和数值仿真的方法,通过设计一个连续非线性函数,建立了三阶Chua系统的单方向与网格多涡卷吸引子模型.在Matlab平台上,通过吸引子相图、最大Lyapunov指数、分岔图和Poincaré截面等方法,分析了多涡卷Chua混沌系统的动力学特性.研究结果表明,多涡卷Chua混沌吸引子具有丰富的动力学特性,仿真结果与理论分析一致,表明了多涡卷Chua混沌系统设计方法的有效性和设计模型的正确性.

Design of chua multi scroll chaotic attractor and its characteristic analysis

To get a Multi scroll chaotic system with complex structure and good performance, based on theoretical analysis and simulation methods, a single direction and grid multi scroll model was presented by designing a continuous nonlinear function from a three order Chua system. Dynamic characteristics of multi scroll Chua chaotic attractor were analyzed by observing attractors phase diagram, bifurcation diagram, Poincaré section and calculating the largest Lyapunov exponent on the Matlab simulation platform. The research results show that the multi scroll chaotic attractors have rich dynamical characteristics. Simulation results are accordant with the theoretical analysis, which shows that the method of designing Multi scroll chaotic system is effective and the designed model is correct.