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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 4, Pages 407–425
(Mi nd453)
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This article is cited in 9 scientific papers (total in 9 papers)
Multistability in dynamic models of migration coupled populations with an age structure
Matvey P. Kulakov, Galina P. Neverova, Efim Ya. Frisman Institute for Complex Analysis of Regional Problems, Far Eastern Branch of RAS, Sholom-Aleikhem 4, Birobidzhan, 679016, Russia
Abstract:
This article researches model of two coupled an age structured populations. The model consists of two identical two-dimensional maps demonstrating the Neimark–Sacker and period-doubling bifurcations. The “bistability” of dynamic modes is found which is expressed in a co-existence the nontrivial fixed point and periodic points (stable 3-cycle). The mechanism of loss stability and formation of complex hierarchy for multistable states are investigated.
Keywords:
metapopulation, multistability, maps, synchronization, basin of attraction.
Received: 29.04.2014 Revised: 23.10.2014
Citation:
Matvey P. Kulakov, Galina P. Neverova, Efim Ya. Frisman, “Multistability in dynamic models of migration coupled populations with an age structure”, Nelin. Dinam., 10:4 (2014), 407–425
Linking options:
https://www.mathnet.ru/eng/nd453 https://www.mathnet.ru/eng/nd/v10/i4/p407
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Abstract page: | 351 | Full-text PDF : | 99 | References: | 56 |
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