Delay-induced stabilization of coupled oscillators

Delay-induced stabilization of coupled oscillators
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DOI：
10.1587/nolta.12.612
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发表时间：
2021
期刊：
Nonlinear Theory and Its Applications, IEICE
影响因子：
--
通讯作者：
Yoshiki Sugitani;K. Konishi
Yoshiki Sugitani;K. Konishi
中科院分区：
其他
文献类型：
--
作者：
Yoshiki Sugitani;K. Konishi

文献摘要

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：延迟会对各种系统的稳定性产生负面影响。然而，有研究表明，耦合振子中振子间的信号传输延迟可以稳定不稳定的平衡点，这被称为振幅死亡（AD）。由时滞引起的AD在非线性科学领域得到了广泛的研究，并在各种工程应用中引起了人们的关注。本文综述了振荡网络中由时滞引起的AD的最新研究，特别是考虑了非均匀时滞和时变网络的AD研究。
: Delays can have a negative impact on the stability of various systems. However, it was reported that the transmission delays of signals among oscillators can stabilize unstable equilibrium points in coupled oscillators, which is called amplitude death (AD). AD caused by delays has been extensively researched in the field of nonlinear science and has attracted attention for various engineering applications. In this article, we review the latest studies on AD caused by delays in oscillator networks, in particular those that considered heterogeneous delays and time-varying networks.