吸引子
多稳态
李雅普诺夫指数
混乱的
分岔图
分叉
统计物理学
危机
订单(交换)
物理
控制理论(社会学)
数学
计算机科学
非线性系统
数学分析
量子力学
控制(管理)
财务
人工智能
经济
作者
Lujie Ren,Shu Li,Santo Banerjee,Jun Mou
出处
期刊:Physica Scripta
[IOP Publishing]
日期:2023-03-31
卷期号:98 (5): 055201-055201
被引量:16
标识
DOI:10.1088/1402-4896/acc6a3
摘要
Abstract In this paper, a new fractional-order complex chaotic system (FOCCS) is proposed and studied. Firstly, the dissipativity and stability are discussed. Secondly, the dynamical characteristics of the system with parameters and order changes are analyzed by using phase diagrams, Lyapunov exponent (LEs) and bifurcation diagrams, respectively. In addition, the dynamical behavior is discussed for q of integer and fractional orders. In particular, the attractor coexistence is found, such as the coexistence of chaotic attractor and chaotic attractor, and chaotic attractor and periodic attractor. Interestingly, the multiple attractors coexistence is found by changing the initial conditions with fixed parameters. Finally, it is implemented on the analog circuit and DSP platform. The study provide a reference for the research and application of chaos.
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