Chimera Death: Symmetry Breaking in Dynamical Networks
Chimera Death: Symmetry Breaking in Dynamical Networks
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DOI：
10.1103/physrevlett.112.154101
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发表时间：
2014-04-14
影响因子：
8.6
通讯作者：
Schoell, Eckehard
中科院分区：
文献类型：
--
作者：
Zakharova, Anna;Kapeller, Marie;Schoell, Eckehard
对于具有非局域拓扑结构和破环耦合的一般振荡器网络，我们建立了新的部分相干非均匀空间模式，它联合收割机了嵌合态（共存的不一致的相干和非相干域）和振荡死亡（振荡抑制）的特征，我们称之为“嵌合死亡”。我们表明，由于非局部性和破坏的旋转对称性的耦合的相互作用，两个不同的情况下，从振荡行为的稳态制度是可能的：从振幅嵌合体的嵌合体死亡，通过同步振荡的相位和直接突变过渡较大的耦合强度的过渡。
For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling we establish novel partially coherent inhomogeneous spatial patterns, which combine the features of chimera states (coexisting incongruous coherent and incoherent domains) and oscillation death (oscillation suppression), which we call "chimera death". We show that due to the interplay of nonlocality and breaking of rotational symmetry by the coupling, two distinct scenarios from oscillatory behavior to a stationary state regime are possible: a transition from an amplitude chimera to chimera death via in-phase synchronized oscillations and a direct abrupt transition for larger coupling strength.