分段线性超混沌系统的仿真研究  

Study on Simulation of Piecewise - Linear Hyperchaotic System

作　　者：乔晓华[1] 孙玉霞[1] 汪小锋[1] 

机构地区：[1]江苏技术师范学院电气信息工程学院,江苏常州213001

出　　处：《计算机仿真》2010年第11期82-86,共5页Computer Simulation

基　　金：江苏省自然科学基金资助项目(BK2009105)

摘　　要：研究超混沌系统问题,针对改善混沌系统特性,基于三维混沌Lü系统引入一个分段线性状态反馈控制器。为提高超混沌系统的鲁棒性,提出了一个新四维分段线性超混沌系统。理论分析了系统的耗散性和平衡点的稳定性,利用数值分析方法,计算了新系统的Poincaré映射、Lyapunov指数谱、分岔图和相轨图。理论分析和仿真结果表明,新系统可在参数控制下运行于超混沌、混沌、拟周期和周期等不同轨道状态。与混沌Lü系统比较,分段线性状态反馈控制器使新系统产生的超混沌吸引子具有更为复杂的拓扑结构,即可以产生更高复杂度的混沌信号。此外,将Lü系统第3方程中的二次非线性项xy改造为y2项,可显著改善新系统超混沌信号的鲁棒性,提高了新系统在保密通信等新兴工程技术领域应用的可靠性。Based on three-dimensional chaotic Lü system,a new four-dimensional piecewise-linear hyperchaotic system is constructed by introducing a piecewise-linear state feedback controller.By using different numerical simulation tools,the simulation results of the Poincaré map,Lyapunov exponent spectrum,bifurcation diagram and phase portrait of new system are obtained,which verify that the proposed system can run into hyperchaotic,chaotic,quasi-periodic and periodic orbits under the parameter control.Comparing new system with the chaotic Lü system,the piecewise-linear state feedback controller can make new system generate hyperchaotic attractor with more complex topological structure.Furthermore,by changing quadratic nonlinearity term xy in the third equation of the Lü system to y2,the robustness of the hyperchaotic signal of new system can obviously be improved.

关 键 词：超混沌系统 分段线性 状态反馈控制器 吸引子 鲁棒性 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]