多涡卷超混沌系统的设计与性能分析

Design of multi-scroll hyperchaotic system and analysis on its characteristic

为了设计性能优越的多涡卷超混沌系统,采用理论分析和数值仿真方法,通过设计一个连续的非线性函数,得到了6阶超混沌系统的单方向与网格多涡卷吸引子模型。通过吸引子相图、Lyapunov指数谱、分岔图、Poincaré截面和复杂度等,分析了多涡卷超混沌系统的动力学特性。研究结果表明:多涡卷超混沌吸引子具有丰富的动力学特性,仿真结果与理论分析结果一致,表明了多涡卷超混沌系统设计方法的有效性和设计模型的正确性。

To establish a multi-scroll hyperchaotic system with complex structure and good performance, based on theoretical analysis and simulation methods, single direction and grid multi-scroll models were presented by designing a continuous nonlinear function from a six-order hyperchaotic system. Dynamical characteristics of multi-scroll hyperchaotic attractor were analyzed by observing attractors phase diagram, Lyapunov exponents spectrum, bifurcation diagram, Poincaré section and complexity. The results show that the multi-scroll hyperchaotic attractors have rich dynamical characteristics. Simulation results are accordant with those of the theoretical analysis, which shows that the method of designing multi-scroll hyperchaotic system is effective and the designed model is correct.