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

作　　者：方淼 方帆 FANG Miao;FANG Fan(Ministry of Science and Technology,Jianghuai College Anhui University,Hefei 230039,China;Dean's office,Chaohu University,Chaohu 238000,China)

机构地区：[1]安徽大学江淮学院理工部,安徽合肥230039 [2]巢湖学院教务处,安徽巢湖238000

出　　处：《宿州学院学报》2019年第7期75-78,共4页Journal of Suzhou University

基　　金：安徽省高等学校自然科学研究重点项目(KJ2017A789);安徽大学江淮学院重点教学研究项目(2018JY0001)

摘　　要：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.

关 键 词：超混沌 ROSSLER系统 动力学特性 

分 类 号：TG333[金属学及工艺—金属压力加工]