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Chimera states in hybrid coupled neuron populations.
Neural Networks ( IF 7.8 ) Pub Date : 2020-03-09 , DOI: 10.1016/j.neunet.2020.03.002
Ali Calim 1 , Joaquin J Torres 2 , Mahmut Ozer 3 , Muhammet Uzuntarla 1
Affiliation  

Here we study the emergence of chimera states, a recently reported phenomenon referring to the coexistence of synchronized and unsynchronized dynamical units, in a population of Morris-Lecar neurons which are coupled by both electrical and chemical synapses, constituting a hybrid synaptic architecture, as in actual brain connectivity. This scheme consists of a nonlocal network where the nearest neighbor neurons are coupled by electrical synapses, while the synapses from more distant neurons are of the chemical type. We demonstrate that peculiar dynamical behaviors, including chimera state and traveling wave, exist in such a hybrid coupled neural system, and analyze how the relative abundance of chemical and electrical synapses affects the features of chimera and different synchrony states (i.e. incoherent, traveling wave and coherent) and the regions in the space of relevant parameters for their emergence. Additionally, we show that, when the relative population of chemical synapses increases further, a new intriguing chaotic dynamical behavior appears above the region for chimera states. This is characterized by the coexistence of two distinct synchronized states with different amplitude, and an unsynchronized state, that we denote as a chaotic amplitude chimera. We also discuss about the computational implications of such state.

中文翻译:

嵌合体状态在混合耦合神经元群体中。

在这里,我们研究嵌合体状态的出现,这种现象是最近报告的一种现象,该现象涉及同步的和不同步的动力单元的共存,该现象在通过电和化学突触耦合的Morris-Lecar神经元群体中构成了一种混合的突触结构,例如实际的大脑连通性。该方案由一个非局部网络组成,其中最邻近的神经元通过电突触耦合,而来自较远的神经元的突触属于化学类型。我们证明了在这种混合耦合神经系统中存在特殊的动力学行为,包括嵌合体状态和行波,并分析了化学和电突触的相对丰度如何影响嵌合体和不同同步状态的特征(即不连贯,行波和相干)以及空间中相关参数的出现区域。此外,我们表明,当化学突触的相对种群进一步增加时,在嵌合体状态区域上方会出现一种新的有趣的混沌动力学行为。这的特点是两个不同的,具有不同幅度的同步状态和一个非同步状态并存,我们将其称为混沌幅度嵌合体。我们还将讨论这种状态的计算含义。这的特点是两个不同的,具有不同幅度的同步状态和一个非同步状态并存,我们将其称为混沌幅度嵌合体。我们还将讨论这种状态的计算含义。这具有两个不同的,具有不同幅度的同步状态和一个非同步状态的共存特征,我们将其称为混沌幅度嵌合体。我们还将讨论这种状态的计算含义。
更新日期:2020-03-09
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