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Modelirovanie i Analiz Informatsionnykh Sistem, 2012, Volume 19, Number 3, Pages 32–61 (Mi mais228)  
This article is cited in 16 scientific papers (total in 16 papers)

Asymptotics of Solutions of the Generalized Hutchinson's Equation

S. A. Kaschenko

P. G. Demidov Yaroslavl State University
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Abstract: We discuss the dynamics of the Hutchinson's equation and its generalizations. An estimate of the global stability region of a positive steady state is obtained. The main results refer to existence, stability and asymptotics of a slow oscillating solution. New asymptotic methods are applied to a problem of dynamical properties of ODE system describing Belousov–Zhabotinsky reaction.
Keywords: delay differential equation, Hutchinson's equation, large parameter, asymptotic, periodic solution.
Received: 20.02.2012
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Kaschenko, “Asymptotics of Solutions of the Generalized Hutchinson's Equation”, Model. Anal. Inform. Sist., 19:3 (2012), 32–61
Citation in format AMSBIB
\Bibitem{Kas12}
\by S.~A.~Kaschenko
\paper Asymptotics of Solutions of the Generalized Hutchinson's Equation
\jour Model. Anal. Inform. Sist.
\yr 2012
\vol 19
\issue 3
\pages 32--61
\mathnet{http://mi.mathnet.ru/mais228}
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  • https://www.mathnet.ru/eng/mais/v19/i3/p32
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Моделирование и анализ информационных систем
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