记忆电阻器
李雅普诺夫指数
多稳态
混乱的
计算机科学
平衡点
控制理论(社会学)
非线性系统
分岔图
分叉
统计物理学
物理
人工智能
量子力学
控制(管理)
作者
Chengbin Xu,Yuyao Luo,Xinyu Li,Chunlei Fan
出处
期刊:Physica Scripta
[IOP Publishing]
日期:2023-12-29
卷期号:99 (1): 015243-015243
标识
DOI:10.1088/1402-4896/ad173d
摘要
Abstract Memristor is one of the basic circuit elements commonly used in circuit model analysis. More complex dynamic characteristics can be observed by coupling memristor into nonlinear circuit. However, there is relatively little attention paid to high-dimensional conservative chaos based on memristors up to now. In this paper, a five-dimensional memristor conservative chaotic system is built after the introduction of the memristor into conservative chaotic system. There is no equilibrium point in this system and the phase trajectory produced by it has hidden properties. Its conservatism is analyzed by bifurcation diagram, Lyapunov exponent spectrum and divergence. The phase trajectory will change with the change of parameters, which Poincaré mapping also verified these dynamic behaviors. In addition, hidden extreme multistability and initial value offset boosting behavior are also found in this system. It is to be noted that this behavior is less in memristor conservative chaotic system without equilibrium points. At the same time, a new transient transition behavior is observed. By introducing spectral entropy algorithm, the complexity of sequences is analyzed and compared with the existing literature. The results show that the system has higher complexity. Finally, the systematic analogous circuit is designed and built whose results are consistent with the MATLAB numerical simulation results, which has laid a solid foundation for the practical application of the system in engineering.
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