Multistability in a physical memristor-based modified Chua's circuit
Multistability in a physical memristor-based modified Chua's circuit
复制标题
基于物理忆阻器的改进蔡氏电路的多稳定性
作者：
Guo, Mei;Yang, Wenyan;Li, Yuxia
本文提出了一种基于Sr0.95Ba0.05TiO3忆阻器的改进型蔡氏电路，并对其进行了理论分析和数值模拟。分析了这种基于忆阻器的改进蔡氏电路的稳定性。系统地研究了系统的动力学行为及其对初始状态和电路参数的依赖关系，给出了系统的李雅普诺夫指数谱、分岔图、相图和庞加莱映射。电路出现多种动力学行为，包括稳定点、周期循环、混沌和一些瞬态混沌。具体来说，系统具有多稳态性，即，共存周期和共存混沌吸引子随初始状态和电路参数的变化。本研究有助于后续忆阻器电路的设计与分析，并具有潜在的实际应用价值。由AIP Publishing授权出版。
A physical Sr0.95Ba0.05TiO3 memristor-based modified Chua's circuit is proposed, which is studied in this paper by means of both theoretical analysis and numerical simulations. The stability of this memristor-based modified Chua's circuit is analyzed. A systematic investigation of the dynamic behaviors and their dependence on the initial states and circuit parameters is performed, presenting the Lyapunov exponents spectra, bifurcation diagrams, phase diagrams, and Poincare maps. The circuit emerges multiple dynamic behaviors, including stable points, periodic cycles, chaos, and some transient chaos. Specifically, the system hasmultistability, i.e., coexisting periods and coexisting chaotic attractors with the change of initial states and circuit parameters. This study is conducive to the subsequent design and analysis of memristor-based circuits for potential practical applications. Published under license by AIP Publishing.