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

dc.contributor.authorMoaddy, K.
dc.contributor.authorRadwan, Ahmed G.
dc.contributor.authorSalama, Khaled N.
dc.contributor.authorMomani, Shaher M.
dc.contributor.authorHashim, Ishak
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.contributor.departmentSensors Lab
dc.contributor.institutionSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia
dc.contributor.institutionDepartment of Engineering Mathematics, Faculty of Engineering, Cairo University, Egypt
dc.contributor.institutionDepartment of Mathematics, University of Jordan, Amman 11942, Jordan
dc.date.accessioned2015-08-03T10:03:31Z
dc.date.available2015-08-03T10:03:31Z
dc.date.issued2012-11
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.
dc.identifier.citationMoaddy, K., Radwan, A. G., Salama, K. N., Momani, S., & Hashim, I. (2012). The fractional-order modeling and synchronization of electrically coupled neuron systems. Computers & Mathematics with Applications, 64(10), 3329–3339. doi:10.1016/j.camwa.2012.01.005
dc.identifier.doi10.1016/j.camwa.2012.01.005
dc.identifier.issn08981221
dc.identifier.journalComputers & Mathematics with Applications
dc.identifier.urihttp://hdl.handle.net/10754/562390
dc.publisherElsevier BV
dc.subjectChaotic synchronization
dc.subjectFractional differential equation
dc.subjectNeuron system
dc.subjectNon-standard finite deference scheme
dc.titleThe fractional-order modeling and synchronization of electrically coupled neuron systems
dc.typeArticle
display.details.left<span><h5>Type</h5>Article<br><br><h5>Authors</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Moaddy, K.,equals">Moaddy, K.</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Radwan, Ahmed G.,equals">Radwan, Ahmed G.</a><br><a href="https://repository.kaust.edu.sa/search?query=orcid.id:0000-0001-7742-1282&spc.sf=dc.date.issued&spc.sd=DESC">Salama, Khaled N.</a> <a href="https://orcid.org/0000-0001-7742-1282" target="_blank"><img src="https://repository.kaust.edu.sa/server/api/core/bitstreams/82a625b4-ed4b-40c8-865a-d6a5225a26a4/content" width="16" height="16"/></a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Momani, Shaher M.,equals">Momani, Shaher M.</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Hashim, Ishak,equals">Hashim, Ishak</a><br><br><h5>KAUST Department</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division,equals">Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Electrical Engineering Program,equals">Electrical Engineering Program</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Physical Science and Engineering (PSE) Division,equals">Physical Science and Engineering (PSE) Division</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Sensors Lab,equals">Sensors Lab</a><br><br><h5>Date</h5>2012-11</span>
display.details.right<span><h5>Abstract</h5>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.<br><br><h5>Citation</h5>Moaddy, K., Radwan, A. G., Salama, K. N., Momani, S., & Hashim, I. (2012). The fractional-order modeling and synchronization of electrically coupled neuron systems. Computers & Mathematics with Applications, 64(10), 3329–3339. doi:10.1016/j.camwa.2012.01.005<br><br><h5>Publisher</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.publisher=Elsevier BV,equals">Elsevier BV</a><br><br><h5>Journal</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.journal=Computers & Mathematics with Applications,equals">Computers & Mathematics with Applications</a><br><br><h5>DOI</h5><a href="https://doi.org/10.1016/j.camwa.2012.01.005">10.1016/j.camwa.2012.01.005</a></span>
kaust.personRadwan, Ahmed G.
kaust.personSalama, Khaled N.
orcid.authorMoaddy, K.
orcid.authorRadwan, Ahmed G.
orcid.authorSalama, Khaled N.::0000-0001-7742-1282
orcid.authorMomani, Shaher M.
orcid.authorHashim, Ishak
orcid.id0000-0001-7742-1282
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