摘要
在磁控忆感器数学模型的基础上,提出了一个新型四维连续混沌系统,通过分析系统的李雅普诺夫指数、分岔图和Poincaré截面等基本动力学特性,验证了系统的混沌特性。随着参数的变化,新系统可产生逆倍周期分岔现象,在系统参数固定不变而初始条件变化时,系统出现共存吸引子,并在特定条件下,出现隐藏吸引子。仿真实验表明:系统出现的混沌现象与理论分析结果一致。
A new four-dimensional continuous chaotic system is proposed,which is based on the mathematical model of meminductor.The chaotic characteristics of the system are verified by analyzing the basic dynamics including Lyapunov exponent,bifurcation diagram and Poincarésection.The proposed new system can generate the inverse period bifurcation phenomenon by changing the parameters.When the system parameters are fixed,coexisting attractors can appear under different initial conditions,while hidden attractors appear only under certain conditions.Simulation experiments show that the chaotic phenomena appearing in the system are consistent with the theoretical analysis results.
作者
吴泽炎
顾梅园
李付鹏
WU Zeyan;GU Meiyuan;LI Fupeng(School of Electronic Information,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)
出处
《杭州电子科技大学学报（自然科学版）》
2019年第4期6-11,50,共7页
Journal of Hangzhou Dianzi University：Natural Sciences
基金
国家自然科学基金资助项目(61771176,61271064)
关键词
忆感器
混沌系统
共存吸引子
隐藏吸引子
meminductor
chaotic system
coexisting attractors
hidden attractors
