From collective oscillation to chimera state in a nonlocally excitable system
From collective oscillation to chimera state in a nonlocally excitable system
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发表时间：
2017-05
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通讯作者：
Qionglin Dai;Mengya Zhang;Hongyan Cheng;Haihong Li;F. Xie;Junzhong Yang
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作者：
Qionglin Dai;Mengya Zhang;Hongyan Cheng;Haihong Li;F. Xie;Junzhong Yang
在非局域耦合振荡系统中，存在着由空间相干和非相干动力学共存区域组成的嵌合态。我们首次证明了嵌合态可以从非局域耦合下的可激发系统中出现，其中孤立的单元只允许平衡。我们从理论上揭示了非定域耦合诱导的集体振荡是嵌合态产生的原因。我们发现两种不同类型的嵌合态，相位嵌合态和兴奋性嵌合态，取决于耦合强度。在弱耦合强度下，当集体振荡局限于不稳定的均匀平衡时，嵌合态类似于非局域耦合相位振子中的嵌合态。对于强耦合的嵌合态，相干单元和非相干单元的动力学都在集体振荡引起的低振幅振荡和局域单元激发性引起的高振幅振荡之间来回移动。
Chimera states, which consist of coexisting domains of spatially coherent and incoherent dynamics, have been widely found in nonlocally coupled oscillatory systems. We demonstrate for the first time that chimera states can emerge from excitable systems under nonlocal coupling in which isolated units only allow for the equilibrium. We theoretically reveal that nonlocal coupling induced collective oscillation is behind the occurrence of the chimera states. We find two different types of chimera states, phase-chimera state and excitability-chimera states, depending on the coupling strength. At weak coupling strength where collective oscillation is localized around the unstable homogeneous equilibrium, the chimera states are similar to the ones in nonlocally coupled phase oscillators. For the chimera states at strong coupling strength, the dynamics of both coherent units and incoherent units shift back and forth between low amplitude oscillation induced by collective oscillation and high amplitude oscillation induced by excitability of local units.