Analysis of Synchronization in a Neural Population by a Population Density Approach
| hal.structure.identifier | Laboratoire Mouvement Adaptation Cognition [MAC] | |
| dc.contributor.author | GARENNE, André | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
| dc.contributor.author | HENRY, Jacques | |
| hal.structure.identifier | Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS] | |
| dc.contributor.author | TARNICERIU, Carmen Oana | |
| dc.date.accessioned | 2024-04-04T02:29:01Z | |
| dc.date.available | 2024-04-04T02:29:01Z | |
| dc.date.issued | 2010-03 | |
| dc.identifier.issn | 0973-5348 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190141 | |
| dc.description.abstractEn | In this paper we deal with a model describing the evolution in time of the density of a neural population in a state space, where the state is given by Izhikevich's two - dimensional single neuron model. The main goal is to mathematically describe the occurrence of a significant phenomenon observed in neurons populations, the synchronization. To this end, we are making the transition to phase density population, and use Malkin theorem to calculate the phase deviations of a weakly coupled population model. | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.subject.en | Single neuron model | |
| dc.subject.en | Population density approach | |
| dc.subject.en | Synchronization | |
| dc.title.en | Analysis of Synchronization in a Neural Population by a Population Density Approach | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1051/mmnp/20105201 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Sciences du Vivant [q-bio]/Neurosciences [q-bio.NC]/Neurobiologie | |
| bordeaux.journal | Mathematical Modelling of Natural Phenomena | |
| bordeaux.page | 5-25 | |
| bordeaux.volume | 5 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | inria-00482420 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00482420v1 | |
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