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Keldysh Institute preprints, 2019, 109, 44 pp. (Mi ipmp2747)  

On studies of bifurcation phenomena such as memory and delay

A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh


Abstract: For various researchers, the bifurcation phenomena of memory and delay are associated with the ideas about dynamic bifurcation, slow time, and fast-slow systems. The review presents an analysis of literary sources on these topics. According to the author's explanation of these phenomena proposed here, they should be classified as the manifestations of the structural instability of the system. The review is primarily intended for specialists in the field of mathematical biology.

Keywords: mathematical modeling, nonlinear dynamics, theory of bifurcations, condition of normal switching, bifurcation memory, stability loss delay, dynamical bifurcation, fast-slow systems.

DOI: https://doi.org/10.20948/prepr-2019-109

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Citation: A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh, “On studies of bifurcation phenomena such as memory and delay”, Keldysh Institute preprints, 2019, 109, 44 pp.

Citation in format AMSBIB
\Bibitem{MosTetMak19}
\by A.~V.~Moskalenko, R.~K.~Tetuev, S.~A.~Makhortykh
\paper On studies of bifurcation phenomena such as memory and delay
\jour Keldysh Institute preprints
\yr 2019
\papernumber 109
\totalpages 44
\mathnet{http://mi.mathnet.ru/ipmp2747}
\crossref{https://doi.org/10.20948/prepr-2019-109}


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