Amplitude death, oscillation death, wave, and multistability in identical Stuart-Landau oscillators with conjugate coupling
Amplitude death, oscillation death, wave, and multistability in identical Stuart-Landau oscillators with conjugate coupling
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具有共轭耦合的相同 Stuart-Landau 振荡器中的振幅死亡、振荡死亡、波和多稳定性
DOI：
10.1016/j.cnsns.2016.02.036
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发表时间：
2016-10-01
影响因子：
3.9
通讯作者：
Yang, Junzhong
中科院分区：
文献类型：
--
作者：
Han, Wenchen;Cheng, Hongyan;Yang, Junzhong
本文系统地研究了具有共轭耦合的全同Stuart-Landau振子环的动力学性质。我们分析了振幅死亡的稳定性，发现稳定性与振子的数目无关。当振幅死亡状态不稳定时，出现了均匀振荡死亡、非均匀振荡死亡、均匀振荡和波传播等多种状态，它们可能共存。我们还发现，所有这些状态都与不稳定的空间模式到振幅死亡状态有关。(C)2016爱思唯尔B. V.保留所有权利。
In this work, we investigate the dynamics in a ring of identical Stuart-Landau oscillators with conjugate coupling systematically. We analyze the stability of the amplitude death and find the stability independent of the number of oscillators. When the amplitude death state is unstable, a large number of states such as homogeneous oscillation death, heterogeneous oscillation death, homogeneous oscillation, and wave propagations are found and they may coexist. We also find that all of these states are related to the unstable spatial modes to the amplitude death state. (C) 2016 Elsevier B.V. All rights reserved.