V. E. Goryunov, M. M. Preobrazhenskaya, “Quasi-stability of coexisting attractors of a neurodynamic model with delay”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 173,Pages <nobr>26

Quasi-stability of coexisting attractors of a neurodynamic model with delay

V. E. Goryunov, M. M. Preobrazhenskaya

P.G. Demidov Yaroslavl State University

Abstract: The problem of the coexistence of attractors of a neurodynamic model with delay is considered. The model is a system of two specially connected differential-difference equations. An algorithm for estimating Lyapunov exponents for the system is developed.

Keywords: differential-difference equation, buffering, relaxation cycle, Lyapunov exponent, quasi-stability.

UDC: 517.929, 517.938

MSC: 34D05, 34D08, 34D45, 65K05

DOI: 10.36535/0233-6723-2019-173-26-47