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Cluster synchronization in networks of neurons with chemical synapses

dc.citation.epageen_US
dc.citation.issue1en_US
dc.citation.volume24en_US
dc.citation.woscount0
dc.contributor.authorJuang, Jonqen_US
dc.contributor.authorLiang, Yu-Haoen_US
dc.contributor.department應用數學系zh_TW
dc.contributor.department數學建模與科學計算所(含中心)zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.contributor.departmentGraduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:35:56Z
dc.date.available2014-12-08T15:35:56Z
dc.date.issued2014-03-01en_US
dc.description.abstractIn 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.en_US
dc.identifier.doi10.1063/1.4862484en_US
dc.identifier.issn1054-1500en_US
dc.identifier.journalCHAOSen_US
dc.identifier.urihttp://dx.doi.org/10.1063/1.4862484en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/24299
dc.identifier.wosnumberWOS:000334181700010
dc.language.isoen_USen_US
dc.titleCluster synchronization in networks of neurons with chemical synapsesen_US
dc.typeArticleen_US

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