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Nelin. Dinam., 2015, Volume 11, Number 1, Pages 51–76 (Mi nd464)  

This article is cited in 2 scientific papers (total in 2 papers)

Attraction basins of clusters in coupled map lattices

Matvey P. Kulakov, Efim Ya. Frisman

Institute for Complex Analysis of Regional Problems, Far Eastern Branch of RAS, Sholom-Aleikhem 4, Birobidzhan, 679016, Russia

Abstract: This paper researches a phenomenon of clustering and multistability in a non-global coupled Ricker maps. To construct attraction basins for some phases of clustering we propose a method. For this purpose we consider the several simultaneously possible and fundamentally different trajectories of the system corresponding to different phases of clustering. As a result these phases or trajectories have the unique domains of attraction (basins) in the phase space and stability region in the parametric space. The suggested approach consists in that each a trajectory is approximated the non-identical asymmetric coupled map lattices consisting of fewer equations and equals the number of clusters. As result it is shown the formation and transformation of clusters is the same like a bifurcations leading to birth of asynchronous modes in approximating systems.

Keywords: metapopulation, multistability, coupled map lattices, clustering, basin of attraction.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-31443 мол_а


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Document Type: Article
UDC: 517.9, 574.34
MSC: 37G35
Received: 07.07.2014
Revised: 16.12.2014

Citation: Matvey P. Kulakov, Efim Ya. Frisman, “Attraction basins of clusters in coupled map lattices”, Nelin. Dinam., 11:1 (2015), 51–76

Citation in format AMSBIB
\Bibitem{KulFri15}
\by Matvey~P.~Kulakov, Efim~Ya.~Frisman
\paper Attraction basins of clusters in coupled map lattices
\jour Nelin. Dinam.
\yr 2015
\vol 11
\issue 1
\pages 51--76
\mathnet{http://mi.mathnet.ru/nd464}
\elib{http://elibrary.ru/item.asp?id=23051487}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. P. Kulakov, E. Ya. Frisman, “Ispolzovanie effekta klasterizatsii v sistemakh svyazannykh otobrazhenii dlya opisaniya dinamiki metapopulyatsii”, Matem. biologiya i bioinform., 10:1 (2015), 220–233  mathnet  crossref
    2. M. P. Kulakov, E. Ya. Frisman, “Klasterizatsiya i khimery v modeli prostranstvenno-vremennoi dinamiki populyatsii s vozrastnoi strukturoi”, Nelineinaya dinam., 14:1 (2018), 13–31  mathnet  crossref  elib
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