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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 12, Pages 2099–2112 (Mi zvmmf4976)  
This article is cited in 58 scientific papers (total in 59 papers)

A modification of Hutchinson's equation

A. Yu. Kolesova, E. F. Mishchenkob, N. Kh. Rozovc

a Faculty of Mathematics, Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000 Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119333 Russia
c Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
Full-text PDF (276 kB) Citations (59)
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Abstract: A new mathematical object is introduced, namely, a scalar nonlinear delay differential-difference equation is considered that is a modification of Hutchinson's equation, which is well known in ecology. The existence and stability of its relaxation self-oscillations are analyzed.
Key words: differential-difference equation, relaxation cycle, asymptotic behavior, stability.
Received: 26.04.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 12, Pages 1990–2002
DOI: https://doi.org/10.1134/S0965542510120031
Bibliographic databases:
Document Type: Article
UDC: 519. 624.2
Language: Russian
Citation: A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “A modification of Hutchinson's equation”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010), 2099–2112; Comput. Math. Math. Phys., 50:12 (2010), 1990–2002
Citation in format AMSBIB
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\by A.~Yu.~Kolesov, E.~F.~Mishchenko, N.~Kh.~Rozov
\paper A modification of Hutchinson's equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2010
\vol 50
\issue 12
\pages 2099--2112
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\transl
\jour Comput. Math. Math. Phys.
\yr 2010
\vol 50
\issue 12
\pages 1990--2002
\crossref{https://doi.org/10.1134/S0965542510120031}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650586420}
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    • This publication is cited in the following 59 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:649
    Full-text PDF :260
    References:74
    First page:28
     
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