余弦激励的Rossler超混沌系统动力学分析及电路实现

Dynamics Analysis and Circuit Implementation of the Rossler Hyper-chaotic System Pumped by Cosine

为了进一步探索Rossler系统的混沌特性,在Rossler系统中加上余弦激励,得到了一种新颖的超混沌系统。分析了该系统的平衡点及其稳定性,采用分岔图、Poincare截面、Lyappunov指数谱等分析方法,研究了该系统的动力学行为随着激励信号参数的变化情况。采用模拟电子器件设计并实现了该超混沌系统,模拟电路实验和数值仿真结果相吻合,验证了该系统的可实现性,为混沌保密通信电路的实际应用奠定了基础。

In order to further study the chaotic characteristic of Rossler systems,by pumped the Rossler system with cosine,a novel hyper-chaotic system is proposed.The equilibrium point and it's stability of the system are analyzed theoretically,and by the analysis methods of bifurcation diagram,Poincare section and Lyapunov exponent spectrum,the system's dynamics behavior varying with the parameter.A simulation circuit of the system was designed by analog electronics,and the simulation results of analog circuit are consistent with the numerical simulation,confirm the physical feasibility of the system.It lays a foundation for the application of memristive chaotic circuit.