Name
Title | ||
|---|---|---|
The fractional-order modeling and synchronization of electrically coupled neuron systems |
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 Grunwald-Letnikov discretization process which is easily implemented and reliably accurate. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.camwa.2012.01.005 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
neuron response,fractional-order modeling,fractional derivative,different fractional order,fractional-order state equation,neuron system,circuit model,grunwald-letnikov discretization process,integer-order cable model,different fractional-orders,fractional-order domain | Numerical technique,Topology,Discretization,Synchronization,Chaotic synchronization,Finite difference scheme,Mathematical analysis,Control theory,Fractional calculus,Long memory,Mathematics,Synchronization of chaos | Journal |
Volume | Issue | ISSN |
64 | 10 | 0898-1221 |
Citations | PageRank | References |
20 | 1.85 | 8 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| K. Moaddy | 1 | 48 | 5.37 |
| A. G. Radwan | 2 | 115 | 13.39 |
| Khaled N. Salama | 3 | 345 | 46.11 |
| S. Momani | 4 | 116 | 10.68 |
| Ishak Hashim | 5 | 75 | 16.70 |