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Synchronization of 2-cycles for three migration – connected populations.
- Authors: Sukhodoev I.G.1
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Affiliations:
- Институт комплексного анализа региональных проблем ДВО РАН
- Issue: Vol 27, No 3 (2024)
- Pages: 5-7
- Section: Mathematical Modeling
- URL: https://journal-vniispk.ru/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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Abstract
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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About the authors
I. G. Sukhodoev
Институт комплексного анализа региональных проблем ДВО РАН
Author for correspondence.
Email: sukhodoevv@yandex.ru
ORCID iD: 0000-0001-8399-3359
Russian Federation, ул. Шолом-Алейхема 4, г. Биробиджан, 679016
References
- 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.).
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