Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2018, Volume 14, Number 1, Pages 13–31
DOI: https://doi.org/10.20537/nd1801002
(Mi nd593)
 

This article is cited in 4 scientific papers (total in 4 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
References:
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
Received: 06.09.2017
Accepted: 11.10.2017
Bibliographic databases:
Document Type: Article
UDC: 574.34, 530.182
MSC: 37N25, 90B10, 34D06
Language: Russian
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}
Linking options:
  • https://www.mathnet.ru/eng/nd593
  • https://www.mathnet.ru/eng/nd/v14/i1/p13
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
    Statistics & downloads:
    Abstract page:666
    Full-text PDF :124
    References:36
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024