Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 173, Pages 26–47
DOI: https://doi.org/10.36535/0233-6723-2019-173-26-47 (Mi into554) 		 
Quasi-stability of coexisting attractors of a neurodynamic model with delay

V. E. Goryunov, M. M. Preobrazhenskaya

P.G. Demidov Yaroslavl State University
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DOI: https://doi.org/10.36535/0233-6723-2019-173-26-47
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.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10055_мк
This work was supported by the Russian Foundation for Basic Research (project No. 18-29-10055).
Document Type: Article
UDC: 517.929, 517.938
MSC: 34D05, 34D08, 34D45, 65K05
Language: Russian
Citation: V. E. Goryunov, M. M. Preobrazhenskaya, “Quasi-stability of coexisting attractors of a neurodynamic model with delay”, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 173, VINITI, Moscow, 2019, 26–47
Citation in format AMSBIB
\Bibitem{GorPre19}
\by V.~E.~Goryunov, M.~M.~Preobrazhenskaya
\paper Quasi-stability of coexisting attractors of a neurodynamic model with delay
\inbook Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 173
\pages 26--47
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into554}
\crossref{https://doi.org/10.36535/0233-6723-2019-173-26-47}
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