Synchronization in networks of networks: The onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
Synchronization in networks of networks: The onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
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DOI：
10.1103/physreve.77.036107
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发表时间：
2008-03-01
影响因子：
2.4
通讯作者：
So, Paul
中科院分区：
文献类型：
--
作者：
Barreto, Ernest;Hunt, Brian;So, Paul
研究了网络网络中同步的开始。具体来说，我们考虑相互作用的相位振荡器网络，其中振荡器组由几个不同的群体组成。给定总体中的振荡器是异质的，因为它们的固有频率是从给定的分布中得出的，并且每个总体都有自己的这种分布。振荡器之间的耦合是全局的，但是，我们允许单独指定不同群体的成员之间的耦合强度。我们确定了相干集体行为开始的关键条件，并开发了说明性案例，其中振荡器频率是从一组（可能不同）柯西-洛伦兹分布中得出的。一种动机来自神经生物学，其中几个相互作用的振荡器群体（例如兴奋性和抑制性神经元和神经胶质细胞）的集体动力学令人感兴趣。
The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a given population are heterogeneous in that their natural frequencies are drawn from a given distribution, and each population has its own such distribution. The coupling among the oscillators is global, however, we permit the coupling strengths between the members of different populations to be separately specified. We determine the critical condition for the onset of coherent collective behavior, and develop the illustrative case in which the oscillator frequencies are drawn from a set of (possibly different) Cauchy-Lorentz distributions. One motivation is drawn from neurobiology, in which the collective dynamics of several interacting populations of oscillators (such as excitatory and inhibitory neurons and glia) are of interest.