Irregular macroscopic dynamics due to chimera states in small-world networks of pulse-coupled oscillators
Irregular macroscopic dynamics due to chimera states in small-world networks of pulse-coupled oscillators
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DOI：
10.1088/1367-2630/16/5/055006
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发表时间：
2014-05
影响因子：
3.3
通讯作者：
A. Rothkegel;K. Lehnertz
中科院分区：
文献类型：
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作者：
A. Rothkegel;K. Lehnertz
我们研究了小世界网络上通过 δ 脉冲相互作用的兴奋性集成火样振荡器的集体动力学。振荡器具有不应期和时间延迟。对于弱耦合强度，网络自组织为同步和异步区域。这种嵌合状态允许两条单独的同步/异步路径。除了由远程连接介导的同步或异步区域的稳定性损失之外，区域还可能由晶格结构介导的增长或收缩。这些行为之间的相互作用导致异步区域的总大小受控，或者导致同步和去同步现象与不规则宏观可观测值的交替。
We study the collective dynamics of excitatory integrate-and-fire-like oscillators interacting via δ-pulses on a small-world network. The oscillators are endowed with refractory periods and time delays. For weak coupling strengths, the network self-organizes into synchronous and asynchronous regions. Such chimera states allow for two separate routes to synchrony/asynchrony. In addition to the loss of stability of either synchronous or asynchronous regions mediated by long-ranged connections, regions may grow or shrink mediated by the lattice structure. The interplay between these behaviors leads to controlled total sizes of asynchronous regions or to an alternation of synchronization and desynchronization phenomena with irregular macroscopic observables.