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The fractional-order modeling and synchronization of electrically coupled neuron systems
Moaddy K., Radwan A.G., Salama K.N., , Hashim I.
Published in Elsevier BV
Volume: 64
Issue: 10
Pages: 3329 - 3339
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.
About the journal
JournalData powered by TypesetComputers and Mathematics with Applications
PublisherData powered by TypesetElsevier BV
Open AccessNo