The fractional-order modeling and synchronization of electrically coupled neuron systems

Handle URI:
http://hdl.handle.net/10754/562390
Title:
The fractional-order modeling and synchronization of electrically coupled neuron systems
Authors:
Moaddy, K.; Radwan, Ahmed G.; Salama, Khaled N. ( 0000-0001-7742-1282 ) ; Momani, Shaher M.; Hashim, Ishak
Abstract:
In this paper, we generalize the integer-order cable model of the neuron system into the fractional-order domain, where the long memory dependence of the fractional derivative can be a better fit for the neuron response. Furthermore, the chaotic synchronization with a gap junction of two or multi-coupled-neurons of fractional-order are discussed. The circuit model, fractional-order state equations and the numerical technique are introduced in this paper for individual and multiple coupled neuron systems with different fractional-orders. Various examples are introduced with different fractional orders using the non-standard finite difference scheme together with the Grünwald-Letnikov discretization process which is easily implemented and reliably accurate. © 2011 Elsevier Ltd. All rights reserved.
KAUST Department:
Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Physical Sciences and Engineering (PSE) Division; Sensors Lab
Publisher:
Elsevier BV
Journal:
Computers & Mathematics with Applications
Issue Date:
Nov-2012
DOI:
10.1016/j.camwa.2012.01.005
Type:
Article
ISSN:
08981221
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Electrical Engineering Program; Sensors Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorMoaddy, K.en
dc.contributor.authorRadwan, Ahmed G.en
dc.contributor.authorSalama, Khaled N.en
dc.contributor.authorMomani, Shaher M.en
dc.contributor.authorHashim, Ishaken
dc.date.accessioned2015-08-03T10:03:31Zen
dc.date.available2015-08-03T10:03:31Zen
dc.date.issued2012-11en
dc.identifier.issn08981221en
dc.identifier.doi10.1016/j.camwa.2012.01.005en
dc.identifier.urihttp://hdl.handle.net/10754/562390en
dc.description.abstractIn this paper, we generalize the integer-order cable model of the neuron system into the fractional-order domain, where the long memory dependence of the fractional derivative can be a better fit for the neuron response. Furthermore, the chaotic synchronization with a gap junction of two or multi-coupled-neurons of fractional-order are discussed. The circuit model, fractional-order state equations and the numerical technique are introduced in this paper for individual and multiple coupled neuron systems with different fractional-orders. Various examples are introduced with different fractional orders using the non-standard finite difference scheme together with the Grünwald-Letnikov discretization process which is easily implemented and reliably accurate. © 2011 Elsevier Ltd. All rights reserved.en
dc.publisherElsevier BVen
dc.subjectChaotic synchronizationen
dc.subjectFractional differential equationen
dc.subjectNeuron systemen
dc.subjectNon-standard finite deference schemeen
dc.titleThe fractional-order modeling and synchronization of electrically coupled neuron systemsen
dc.typeArticleen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentSensors Laben
dc.identifier.journalComputers & Mathematics with Applicationsen
dc.contributor.institutionSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysiaen
dc.contributor.institutionDepartment of Engineering Mathematics, Faculty of Engineering, Cairo University, Egypten
dc.contributor.institutionDepartment of Mathematics, University of Jordan, Amman 11942, Jordanen
kaust.authorRadwan, Ahmed G.en
kaust.authorSalama, Khaled N.en
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