Model of a Dynamical System of the “Fire–Water” Conflict Type

We propose a model of dynamical system generated by the conflict interaction between the alternative elements of the “fire–water” type with systematic external replenishment of the resources and internal mixing. The behavior of the trajectories is investigated. We establish the convergence of trajec...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2015-08, Vol.208 (5), p.551-570
Main Authors: Karataeva, T. V., Koshmanenko, V. D.
Format: Article
Language:English
Subjects:
Analysis
Game theory
Mathematics
Mathematics and Statistics
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Summary:We propose a model of dynamical system generated by the conflict interaction between the alternative elements of the “fire–water” type with systematic external replenishment of the resources and internal mixing. The behavior of the trajectories is investigated. We establish the convergence of trajectories of the system to ω - limit cyclic orbits.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2467-5