Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 3, Pages 363–380
DOI: https://doi.org/10.20537/nd1703005 (Mi nd571) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Original papers

Dynamic modes of the Ricker model with periodic Malthusian parameter

K. V. Shlufmana, G. P. Neverovab, E. Ya. Frismana

a Institute for Complex Analysis of Regional Problems, Far Eastern Branch of RAS, ul. Sholom-Aleikhem 4, Birobidzhan, 679016, Russia
b Institute of Automation and Control Processes, Far Eastern Branch of RAS, ul. Radio 5, Vladivostok, 690041, Russia
Full-text PDF (2822 kB) Citations (7)
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DOI: https://doi.org/10.20537/nd1703005
Abstract: The paper studies dynamic modes of the Ricker model with the periodic Malthusian parameter. The equation parametric space is shown to have multistability areas in which different dynamic modes are possible depending on the initial conditions. In particular, the model trajectory can asymptotically tend either to a stable cycle or to a chaotic attractor. Oscillation synchronization of the 2-cycles and the Malthusian parameter of the model are studied. Fluctuations in population size and environmental factors can be either synchronous or asynchronous. The structural features of attraction basins in phase space are investigated for possible stable dynamic modes.
Keywords: recurrence equation, Ricker model, periodic Malthusian parameter, stability, bifurcation, dynamic modes, phase space, basins of attraction, multistability.
Funding agency Grant number
Russian Foundation for Basic Research 15-29-02658 офи_м
Received: 03.04.2017
Accepted: 25.05.2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 37G35
Language: Russian
Citation: K. V. Shlufman, G. P. Neverova, E. Ya. Frisman, “Dynamic modes of the Ricker model with periodic Malthusian parameter”, Nelin. Dinam., 13:3 (2017), 363–380
Citation in format AMSBIB
\Bibitem{ShlNevFri17}
\by K.~V.~Shlufman, G.~P.~Neverova, E.~Ya.~Frisman
\paper Dynamic modes of the Ricker model with periodic Malthusian parameter
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 3
\pages 363--380
\mathnet{http://mi.mathnet.ru/nd571}
\crossref{https://doi.org/10.20537/nd1703005}
\elib{https://elibrary.ru/item.asp?id=29993266}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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