Kuramoto模型
同步(交流)
同步网络
离散时间和连续时间
职位(财务)
控制理论(社会学)
正确性
联轴节(管道)
相(物质)
同种类的
相位同步
数学
计算机科学
拓扑(电路)
统计物理学
物理
算法
控制(管理)
工程类
机械工程
统计
财务
组合数学
量子力学
人工智能
经济
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2024-01-01
卷期号:29 (5): 2399-2418
标识
DOI:10.3934/dcdsb.2023183
摘要
This paper investigates the synchronization problem of a kind of discrete-time Kuramoto oscillators based on delayed position states. For this kind of Kuramoto model, the oscillators can only obtain delayed phase and frequency states relative to each other at a series of discrete time instants. Some simple sufficient conditions on the time step, the time delay, the natural frequencies, the coupling strength, and the historical and initial values of the phases and frequencies are derived analytically to ensure the phase synchronization of homogeneous oscillators and the frequency synchronization of heterogeneous oscillators, respectively. Finally, some numerical simulations are performed to verify the correctness of the theoretical results.
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