Regular and chaotic regimes in the system of coupled populations

In this paper, we consider a system of two coupled populations modeled by the Ricker map. Isolated subsystems can be in various stable states: equilibrium, periodic, and chaotic. If maps are coupled, the behavior of the system can change significantly, for example, the equilibrium is transformed int...

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Bibliographic Details
Main Authors: Belyaev, A. V., Ryashko, L. B.
Format: Conference Proceeding
Language:English
Subjects:
Bifurcations
Parametric analysis
Populations
Subsystems
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Online Access:Get full text
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Summary:In this paper, we consider a system of two coupled populations modeled by the Ricker map. Isolated subsystems can be in various stable states: equilibrium, periodic, and chaotic. If maps are coupled, the behavior of the system can change significantly, for example, the equilibrium is transformed into a periodic regime, and the chaotic regime changes to order and vice versa. In this study, a parametric analysis of possible scenarios of changing corporate dynamics and their connection with bifurcations of various types is carried out. Phase portraits of the system, bifurcation diagrams, attractors and their basins are analyzed.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0032976