標題: Cluster synchronization in networks of neurons with chemical synapses
作者: Juang, Jonq
Liang, Yu-Hao
應用數學系
數學建模與科學計算所(含中心)
Department of Applied Mathematics
Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
公開日期: 1-三月-2014
摘要: In this work, we study the cluster synchronization of chemically coupled and generally formulated networks which are allowed to be nonidentical. The sufficient condition for the existence of stably synchronous clusters is derived. Specifically, we only need to check the stability of the origins of m decoupled linear systems. Here, m is the number of subpopulations. Examples of nonidentical networks such as Hindmarsh-Rose (HR) neurons with various choices of parameters in different subpopulations, or HR neurons in one subpopulation and FitzHugh-Nagumo neurons in the other subpopulation are provided. Explicit threshold for the coupling strength that guarantees the stably cluster synchronization can be obtained. (C) 2014 AIP Publishing LLC.
URI: http://dx.doi.org/10.1063/1.4862484
http://hdl.handle.net/11536/24299
ISSN: 1054-1500
DOI: 10.1063/1.4862484
期刊: CHAOS
Volume: 24
Issue: 1
結束頁: 
顯示於類別:期刊論文


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