Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelin. Dinam., 2018, Volume 14, Number 1, Pages 13–31 (Mi nd593)  

This article is cited in 3 scientific papers (total in 3 papers)

Original papers

Clustering and chimeras in the model of the spatial-temporal dynamics of agestructured populations

M. P. Kulakov, E. Ya. Frisman

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

Abstract: The article is devoted to the model of spatial-temporal dynamics of age-structured populations coupled by migration. The dynamics of a single population is described by a two-dimensional nonlinear map demonstrating multistability, and a coupling is a nonlocal migration of individuals. An analysis is made of the problem of synchronization (complete, cluster and chaotic), chimera states formation and transitions between different types of dynamics. The problem of dependence of the space-time regimes on the initial states is discussed in detail. Two types of initial conditions are considered: random and nonrandom (special, as defined ratios) and two cases of single oscillator dynamics — regular and irregular fluctuations. A new cluster synchronization mechanism is found which is caused by the multistability of the local oscillator (population), when different clusters differ fundamentally in the type of their dynamics. It is found that nonrandom initial conditions, even for subcritical parameters, lead to complex regimes including various chimeras. A description is given of the space-time regime when there are several single nonsynchronous elements with large amplitude in a cluster with regular or chaotic dynamics. It is found that the type of spatial-temporal dynamics depends considerably on the distribution parameters of random initial conditions. For a large scale factor and any coupling parameters, there are no coherent regimes at all, and coherent states are possible only for a small scale factor.

Keywords: population, multistability, coupled map lattice, synchronization, clustering, chimera, basin of attraction

Funding Agency Grant Number
Russian Foundation for Basic Research 15-29-02658 офи_м


DOI: https://doi.org/10.20537/nd1801002

Full text: PDF file (1768 kB)
References: PDF file   HTML file

UDC: 574.34, 530.182
MSC: 37N25, 90B10, 34D06
Received: 06.09.2017
Accepted:11.10.2017

Citation: M. P. Kulakov, E. Ya. Frisman, “Clustering and chimeras in the model of the spatial-temporal dynamics of agestructured populations”, Nelin. Dinam., 14:1 (2018), 13–31

Citation in format AMSBIB
\Bibitem{KulFri18}
\by M.~P.~Kulakov, E.~Ya.~Frisman
\paper Clustering and chimeras in the model of the spatial-temporal dynamics of agestructured populations
\jour Nelin. Dinam.
\yr 2018
\vol 14
\issue 1
\pages 13--31
\mathnet{http://mi.mathnet.ru/nd593}
\crossref{https://doi.org/10.20537/nd1801002}
\elib{https://elibrary.ru/item.asp?id=32773033}


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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. E. Ya. Frisman, M. P. Kulakov, O. L. Revutskaya, O. L. Zhdanova, G. P. Neverova, “Osnovnye napravleniya i obzor sovremennogo sostoyaniya issledovanii dinamiki strukturirovannykh i vzaimodeistvuyuschikh populyatsii”, Kompyuternye issledovaniya i modelirovanie, 11:1 (2019), 119–151  mathnet  crossref
    2. M. P. Kulakov, E. Ya. Frisman, “Modelirovanie prostranstvenno-vremennoi dinamiki populyatsii s vozrastnoi strukturoi i dalnodeistvuyuschimi vzaimodeistviyami: sinkhronizatsiya i klasterizatsiya”, Matem. biologiya i bioinform., 14:1 (2019), 1–18  mathnet  crossref
    3. M. P. Kulakov, E. Ya. Frisman, “Approaches to study of multistability in spatio-temporal dynamics of two-age population”, Izv. Vyss. Uchebn. Zaved.-Prikl. Nelineynaya Din., 28:6 (2020), 653–678  crossref  isi  scopus
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