Synchronization of Metastable Oscillations Arising in the Evolutionary Game of Two Populations

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 an...

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Bibliographic Details
Published in:Radiophysics and quantum electronics 2023-07, Vol.66 (2-3), p.197-205
Main Authors: Vershinina, O. S., Rubtsova, T. V., Yastrebova, I. Yu, Plotnikov, A. A., Denisov, S. V., Ivanchenko, M. V.
Format: Article
Language:English
Subjects:
Amplitudes
Astronomy
Astrophysics and Astroparticles
Games
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Mathematical models
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Oscillations
Photonics
Physics
Physics and Astronomy
Populations
Quantum Optics
Seasonal variations
Synchronism
Theoretical
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Summary: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.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-023-10286-4