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Coupled fractional spiking neurons
| dc.contributor.author | Pinto, Carla M.A. | |
| dc.date.accessioned | 2017-07-13T10:44:17Z | |
| dc.date.embargo | 2117 | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We propose a fractional-order (FO) model of two symmetrically coupled Hodgkin-Huxley equations and study the patterns of the neuronsโ firing rates, for distinct values of the order of the fractional derivative, ๐ผ, and the temperature, ๐. We find that, for positive values of the coupling, the neurons exhibit in-phase periodic solutions (neurons fire at the same time). Moreover, the spike amplitude decreases with ๐ผ, meaning that the neuron stops firing below some threshold. This is observed for the three values of ๐ studied here. For smaller ๐, the periodic solutions are sustained for smaller values of ๐ผ. For negative values of the coupling the neurons show anti-phase synchronization for the integer-order model (neurons fire periodically with a halfperiod phase shift). In the case of the FO model, these antiphase symmetric solutions disappear as ๐ผ decreases from 1, for fixed ๐. Another bifurcation seems thus to occur being ๐ผ again a bifurcation parameter. This feature occurs only in the FO system, which seems to behave as an asymmetrically coupled HH system previously studied. Furher analyses is required. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1109/SMC.2016.7844287 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/10033 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | Institute of Electrical and Electronics Engineers | pt_PT |
| dc.relation.ispartofseries | SMC;2016 | |
| dc.relation.publisherversion | http://ieeexplore.ieee.org/document/7844287/ | pt_PT |
| dc.subject | Mathematical model | pt_PT |
| dc.subject | Neurons | pt_PT |
| dc.subject | Synchronization | pt_PT |
| dc.subject | Bifurcation | pt_PT |
| dc.subject | Couplings | pt_PT |
| dc.subject | Biological system modeling | pt_PT |
| dc.subject | Orbits | pt_PT |
| dc.title | Coupled fractional spiking neurons | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.title | IEEE International Conference on Systems Man and Cybernetics | pt_PT |
| person.familyName | Pinto | |
| person.givenName | Carla | |
| person.identifier.orcid | 0000-0002-0729-1133 | |
| person.identifier.rid | J-5221-2013 | |
| person.identifier.scopus-author-id | 14326048800 | |
| rcaap.rights | restrictedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | edfd0bf4-9f73-47ee-817a-860e3d088994 | |
| relation.isAuthorOfPublication.latestForDiscovery | edfd0bf4-9f73-47ee-817a-860e3d088994 |