Electrical Coupled Morris-Lecar Neurons: from Design to Pattern Analysis

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TitreElectrical Coupled Morris-Lecar Neurons: from Design to Pattern Analysis
Type de publicationConference Paper
Year of Publication2016
AuteursBinczak S., Behdad R., Nekorkin V.I, Dmitrichev A.S, Rosse M., Bilbault J.M
EditorSimos T, Tsitouras C
Conference NamePROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015)
PublisherAMER INST PHYSICS
Conference Location2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
ISBN Number978-0-7354-1392-4
Mots-clésCluster, electrical neuron, fold bifurcation of limit cycles, Morris-Lecar, OTA
Résumé

In this study, an experimental electronic neuron based on Morris-Lecar model is presented, able to become an experimental unit tool to study collective association of robust coupled neurons. The circuit design is given according to the ionic currents of this model. A weak coupling of such neurons under Multisim Software can generate clusters based on the boundary conditions of the neurons and their initial conditions. For this study, we work in the region close to the fold bifurcation of limit cycles. In this region two limit cycles exist, one of the cycles is stable and another one is unstable.

DOI10.1063/1.4951985