This article is cited in 5 papers

Relaxation oscillations of electrically coupled neuron-like systems with delay

S. D. Glyzin

P. G. Demidov Yaroslavl State University

Abstract: The system of diffusion coupled nonlinear differential-difference equations with delay modelling the electrical interaction of pulse neurons is studied. Given the speed of electrical processes in the system is high, the limit system, responsible for relaxation cycles, is constructed. Along with a synchronous cycle the system permits stable asynchronous cycles, which asymptotics are presented.

Keywords: relaxation oscillations, spiking neuron, differential-difference equation, bifurcations.

UDC: 517.9

Received: 22.03.2010

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