摘要
将双曲余弦忆阻器模型引入退化Jerk系统,设计了一个新的忆阻混沌系统。利用数值仿真对系统进行研究,通过相图、分岔图、Lyapunov指数谱等分析了系统的动力学行为。新系统不仅存在依赖于忆阻初始条件变化的无限多共存吸引子的多稳定现象,还存在依赖于系统参数变化的周期极限环和混沌吸引子。最后在Simulink结果中观测到与数值仿真一致的结果,证明了系统的存在性和可实现性。
A hyperbolic cosine memristor model was introduced into degenerate Jerk system and a new memristor chaotic system was designed.The system is studied by numerical simulation,and the dynamic behavior of the system is analyzed by phase diagram,bifurcation diagram and Lyapunov exponential spectrum.In the new system,there exist not only the multi-stable phenomenon of infinite coexistence attractors which depend on the change of initial conditions of memristor,but also the periodic limit cycles and chaotic attractors which depend on the change of system parameters.Finally,the results of Simulink are consistent with those of numerical simulation,which proves the existence and realizability of the system.
作者
向波
XIANG Bo(College of Intelligent Systems Science and Engineering,Hubei Minzu University,Enshi 445000,China;Xianfeng Power Supply Company,State Grid Hubei Electric Power Company,Xianfeng 445600,China)
出处
《电工技术》
2023年第21期130-133,共4页
Electric Engineering
