摘要
为产生复杂的混沌信号,通过引入一个开关函数构造了一个连续三维自治混沌系统。对系统的对称性、耗散性、平衡点、稳定性以及Hopf分岔等动力学特性进行了分析。利用理论分析、Lyapunov指数和仿真实验证明了混沌吸引子的存在性,并在仿真中观察到了各个混沌吸引子。
In this paper, a continuous 3- D autonomic chaotic system is proposed by introducing an additional switching function in order to generate complex chaotic signals. Some basic properties, including symmetry, dissipativity, equilibria, stability and Hopf bifurcation, of this chaotic system are analyzed in detail. The existence of chaos is verified with theoretical analysis, the Lyapunov exponent spectrum and simulation experiments, and various chaotic attractors of this system are observed from the simulations.
基金
浙江省自然科学基金资助项目(Y105175)
杭州电子科技大学科研启动基金资助项目(KYS051505010)
关键词
混沌
混沌吸引子
开关函数
chaos
chaotic attractor
switching function
