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Synchronization of 2-cycles for three migration – connected populations.
- Autores: Sukhodoev I.G.1
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Afiliações:
- Институт комплексного анализа региональных проблем ДВО РАН
- Edição: Volume 27, Nº 3 (2024)
- Páginas: 5-7
- Seção: Mathematical Modeling
- URL: https://journals.rcsi.science/1605-220X/article/view/298980
- DOI: https://doi.org/10.31433/2618-9593-2024-27-3-5-7
- EDN: https://elibrary.ru/IPAGDM
- ID: 298980
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Resumo
The work deals with investigation of the oscillation synchronization in a system of three populations, migration – related in a ring. The dynamics model represents a system of three identical logistic dissipatively interconnected mappings. The author has constructed a complete phase portrait of the model using qualitative methods of dynamic systems study. It is shown that there are several periodic points in the phase space, corresponding to synchronous and asynchronous cycles.
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Sobre autores
I. Sukhodoev
Институт комплексного анализа региональных проблем ДВО РАН
Autor responsável pela correspondência
Email: sukhodoevv@yandex.ru
ORCID ID: 0000-0001-8399-3359
Rússia, ул. Шолом-Алейхема 4, г. Биробиджан, 679016
Bibliografia
- Sukhodoev I.G., Kulakov M.P., Kurilova E.V., Frisman E.Ya. Features of synchronization of dynamics in a system of three migration-related populations. Regional’nye problemy, 2024, vol. 27, no. 1, pp. 50–61. (In Russ.). doi: 10.31433/2618-9593-20224-27-1-50-61.
- Kulakov M.P., Aksenovich T.I., Frisman E.Ya. Approaches to describing the spatial dynamics of migration-related populations: analysis of cycle synchronization. Regional’nye problemy, 2013, vol. 16, no. 1, pp. 5–15. (In Russ.).
- Earn D.J.D., Rohani P., Grenfell B.T. Persistence, chaos and synchrony in ecology and epidemiology. Proceedings of the Royal Society of London. Series B: Biological Sciences, 1998, vol. 265, no. 1390, pp. 7–10. doi: 10.1098/rspb.1998.0256.
- England J.P., Krauskopf B., Osinga H.M. Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse. SIAM Journal on Applied Dynamical Systems, 2004, vol. 3, no. 2, pp. 161–190. doi: 10.1137/030600131.
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