具有延迟状态的离散时间Kuramoto振荡器的同步

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI:10.3934/dcdsb.2023183

Hua Zhang, Sisi Xiao

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引用次数: 0

摘要

研究了一类基于延时位置状态的离散库本振子的同步问题。对于这种Kuramoto模型，振子只能在一系列离散时间瞬间获得相对于彼此的延迟相位和频率状态。解析导出了保证均质振子相位同步和非均质振子频率同步的时间步长、时延、固有频率、耦合强度以及相位和频率的历史值和初始值等简单的充分条件。最后，通过数值模拟验证了理论结果的正确性。

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Synchronization of discrete time Kuramoto oscillators with delayed states

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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来源期刊

Discrete and Continuous Dynamical Systems-Series B 数学-应用数学

CiteScore

2.80

自引率

8.30%

发文量

216

审稿时长

6 months

期刊介绍： Centered around dynamics, DCDS-B is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.