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- Title
Synchronization of Metastable Oscillations Arising in the Evolutionary Game of Two Populations.
- Authors
Vershinina, O. S.; Rubtsova, T. V.; Yastrebova, I. Yu.; Plotnikov, A. A.; Denisov, S. V.; Ivanchenko, M. V.
- Abstract
We study the forced synchronization of cyclic stochastic oscillations with a finite lifetime (metastable oscillations). A mathematical model of the battle of the sexes evolutionary game is considered as an example. The model describes the competition between the strategies for selecting a partner and raising offsprings in two populations of the opposite gender. For a system under the influence of a multiplicative harmonic signal, the frequency and the phase synchronizations are found in a certain range of the frequency detuning. As a result of studying the features of changes in the characteristic amplitude and the lifetime of metastable oscillations, depending on the amplitude and the frequency of periodic modulation of the parameters which correspond to some game payoffs (which simulates seasonal changes in the partner choice preferences), we show the possibility of controlling the properties of such oscillations, in the synchronization mode and outside it.
- Subjects
OSCILLATIONS; SYNCHRONIZATION; GAMES
- Publication
Radiophysics & Quantum Electronics, 2023, Vol 66, Issue 2/3, p197
- ISSN
0033-8443
- Publication type
Article
- DOI
10.1007/s11141-023-10286-4