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dc.contributor.authorJhou, Fang-Jhuen_US
dc.contributor.authorJuang, Jonqen_US
dc.contributor.authorLiang, Yu-Haoen_US
dc.date.accessioned2014-12-08T15:23:10Z-
dc.date.available2014-12-08T15:23:10Z-
dc.date.issued2012-06-01en_US
dc.identifier.issn1549-8328en_US
dc.identifier.urihttp://hdl.handle.net/11536/16268-
dc.description.abstractThe new phenomena of the multistate synchronization of Hindmarsh-Rose (HR) neurons with both excitatory chemical and electrical synapses over the complex network are analytically studied. The regions for coupling strengths to achieve local synchronization are explicitly obtained. Such regions are characterized by the second largest eigenvalue lambda(2) of the electrical connection matrix and the number k of chemical signals each neuron receives. The dynamics of the multistate synchronization includes the coexistence of stable regular bursting and periodic/steady-state behaviors. Our theory predicts that recurrent networks formed by a certain cell types in layers 4 and 6 in cat area 17 could lead to multistate synchronization. These are in contrast with coupled oscillator systems or coupled map lattices where only single-state synchronization is found. It should also be noted that if the parameters of HR neurons are chosen resulting in an irregular (chaotic) bursting, then the coexistence state would contain chaotic attractor. Our method employed here is quite general. For instance, it can be immediately applied to other coupled nervous systems such as FitzHugh-Nagumo and Morris-Lecar nervous systems. The analytical tools and concepts needed include coordinate transformations, matrix measures, monotone dynamics and time averaging estimates.en_US
dc.language.isoen_USen_US
dc.subjectChemical and electrical synapsesen_US
dc.subjectHindmarsh-Rose neuronsen_US
dc.subjectmultistate synchronizationen_US
dc.titleMultistate and Multistage Synchronization of Hindmarsh-Rose Neurons With Excitatory Chemical and Electrical Synapsesen_US
dc.typeArticleen_US
dc.identifier.journalIEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERSen_US
dc.citation.volume59en_US
dc.citation.issue6en_US
dc.citation.epage1335en_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.identifier.wosnumberWOS:000304825700018-
dc.citation.woscount1-
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