This article is cited in 5 papers

Quasi-periodic oscillations of a neuron equation with two delays

S. D. Glyzin^a, E. O. Ovsyannikova

^a P. G. Demidov Yaroslavl State University

Abstract: The dynamics of a generalized impulse neuron equation with two delays is studied. A local analysis of a loss of stability for a nonzero equilibrium state has been made. Phase reorganizations have been numerically analyzed with the help of the obtained asymptotic formulas.

Keywords: delay; normal form; bifurcations; autooscillations.

UDC: 517.9

Received: 20.11.2010