Amplitude Death in Coupled Oscillators: An Approach from Robust Stability
Amplitude Death in Coupled Oscillators: An Approach from Robust Stability
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DOI：
10.1587/essfr.16.2_76
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发表时间：
2022-10
期刊：
影响因子：
--
通讯作者：
K. Konishi;Yoshiki Sugitani
中科院分区：
文献类型：
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作者：
K. Konishi;Yoshiki Sugitani
振幅死亡在非线性科学领域得到了近40年的深入研究。在本文中，我们回顾了在系统控制领域中使用的鲁棒稳定性/控制分析工具，以获得当振荡器数量和网络拓扑未知时发生幅度死亡的条件。具体来说，我们解释了两种具有代表性的耦合，即诱导振幅死亡的动态耦合和延迟耦合的结果。
Amplitude death has been intensively investigated in the field of nonlinear science for almost 40 years. In the present article, we review the use of analytical tools for robust stability/control, which have been provided in the field of system control, to obtain the conditions under which amplitude death occurs when the number of oscillators and the network topologies are unknown. Specifically, we explain our results for two representative couplings for inducing amplitude death, dynamical coupling and delayed coupling.