吸引子
混乱的
李雅普诺夫指数
混沌同步
控制理论(社会学)
记忆电阻器
同步(交流)
计算机科学
控制器(灌溉)
纸卷
分叉
拓扑(电路)
统计物理学
数学
物理
数学分析
频道(广播)
非线性系统
工程类
人工智能
控制(管理)
机械工程
计算机网络
量子力学
组合数学
农学
生物
标识
DOI:10.1016/j.chaos.2023.114118
摘要
The study of multi-scroll memristive chaotic system has attracted great interest due to their unique dynamics. In this paper, a novel five-dimensional chaotic system devoid of equilibria is constructed by introducing two memristors into a three-dimensional chaotic system, resulting in the emergence of a grid-scroll attractor. The evolution of the chaotic system is analyzed using techniques such as phase diagrams, Poincare maps, bifurcation diagrams, and Lyapunov exponents. The basin of attraction is delineated to investigate the coexisting attractors in the system. By manipulating the parameters, the partial amplitude of the system can be modulated. To experimentally confirm the existence of the proposed system, a circuit is meticulously designed and implemented. At last, an adaptive controller is designed, and it is observed from the simulation results that a synchronization state can be reached by the two chaotic systems within a finite time.
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