Experimental study of electrical FitzHugh-Nagumo neurons with modified excitability

Authors:
Stéphane Binczak;Sabir Jacquir;Jean-Marie Bilbault;Viktor B. Kazantsev;Vladimir I. Nekorkin
Affiliations:
LE2I, CNRS UMR 5158, Aile des Sciences de l'Ingénieur, Université de Bourgogne, BP, 47870 Dijon Cedex, France;LE2I, CNRS UMR 5158, Aile des Sciences de l'Ingénieur, Université de Bourgogne, BP, 47870 Dijon Cedex, France;LE2I, CNRS UMR 5158, Aile des Sciences de l'Ingénieur, Université de Bourgogne, BP, 47870 Dijon Cedex, France;Institute of Applied Physics of RAS, 46 Uljanov str., 603950 Nizhny Novgorod, Russia;Institute of Applied Physics of RAS, 46 Uljanov str., 603950 Nizhny Novgorod, Russia
Venue:
Neural Networks
Year:
2006

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Abstract

We present an electronical circuit modelling a FitzHugh-Nagumo neuron with a modified excitability. To characterize this basic cell, the bifurcation curves between stability with excitation threshold, bistability and oscillations are investigated. An electrical circuit is then proposed to realize a unidirectional coupling between two cells, mimicking an inter-neuron synaptic coupling. In such a master-slave configuration, we show experimentally how the coupling strength controls the dynamics of the slave neuron, leading to frequency locking, chaotic behavior and synchronization. These phenomena are then studied by phase map analysis. The architecture of a possible neural network is described introducing different kinds of coupling between neurons.