Synchronization of bursting neurons: What matters in the network topology

Synchronization of bursting neurons: What matters in the network topology
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DOI:
10.1103/physrevlett.94.188101
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发表时间:
2005-05-13
影响因子:
8.6
通讯作者:
Hasler, M
Hasler, M
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Belykh, I;de Lange, E;Hasler, M

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研究了脉冲耦合网络中耦合强度和网络拓扑结构对脉冲耦合网络同步行为的影响。令人惊讶的是,我们发现,在这样的网络中的完全同步状态的稳定性只取决于每个神经元接收的信号的数量,独立于网络拓扑结构的所有其他细节。这与线性耦合的爆发神经元相反,在线性耦合的爆发神经元中,完全同步强烈依赖于网络结构和细胞数量。通过分析和数值计算,我们表明,在任何耦合拓扑允许完全同步的网络同步的开始是由一个单一的条件。
We study the influence of coupling strength and network topology on synchronization behavior in pulse-coupled networks of bursting Hindmarsh-Rose neurons. Surprisingly, we find that the stability of the completely synchronous state in such networks only depends on the number of signals each neuron receives, independent of all other details of the network topology. This is in contrast with linearly coupled bursting neurons where complete synchrony strongly depends on the network structure and number of cells. Through analysis and numerics, we show that the onset of synchrony in a network with any coupling topology admitting complete synchronization is ensured by one single condition.