Feedback-induced desynchronization and oscillation quenching in a population of globally coupled oscillators
Feedback-induced desynchronization and oscillation quenching in a population of globally coupled oscillators
复制标题
全局耦合振荡器群体中反馈引起的去同步和振荡猝灭
DOI：
10.1103/physreve.103.062217
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发表时间：
2021
影响因子：
2.4
通讯作者：
Kori Hiroshi
中科院分区：
文献类型：
--
作者：
Ozawa Ayumi;Kori Hiroshi
受广泛应用的推动，人们提出了控制耦合振荡器同步的各种方法。先前的研究表明，全局反馈通常会引发三种宏观行为：同步、去同步和振荡猝灭。然而，在单个理论框架内分析所有这些转变是很困难的，因此每个框架中的反馈效应只能得到部分理解。在这里，我们分析了暴露于全局反馈的全局耦合相位振荡器模型，该模型显示了所有典型的宏观动态状态。该模型的分析易处理性使我们能够获得详细的相图，其中确定了不同宏观状态之间的转变和双稳态。此外，我们提出了以最小反馈强度将振荡器引导至目标状态的策略。我们的研究对全球反馈的影响提供了有用的概述，并有望在需要设计更复杂的反馈时作为基准。
Motivated from a wide range of applications, various methods to control synchronization in coupled oscillators have been proposed. Previous studies have demonstrated that global feedback typically induces three macroscopic behaviors: synchronization, desynchronization, and oscillation quenching. However, analyzing all of these transitions within a single theoretical framework is difficult, and thus the feedback effect is only partially understood in each framework. Herein, we analyze a model of globally coupled phase oscillators exposed to global feedback, which shows all of the typical macroscopic dynamical states. Analytical tractability of the model enables us to obtain detailed phase diagrams where transitions and bistabilities between different macroscopic states are identified. Additionally, we propose strategies to steer the oscillators into targeted states with minimal feedback strength. Our study provides a useful overview of the effect of global feedback and is expected to serve as a benchmark when more sophisticated feedback needs to be designed.