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

IF 0.8 4区地球科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC Radiophysics and Quantum Electronics Pub Date : 2023-12-14 DOI:10.1007/s11141-023-10286-4

O. S. Vershinina, T. V. Rubtsova, I. Yu. Yastrebova, A. A. Plotnikov, S. V. Denisov, M. V. Ivanchenko

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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.

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两个种群进化博弈中出现的可变振荡的同步性

我们研究了具有有限寿命的周期性随机振荡（可转移振荡）的强制同步问题。我们以两性进化博弈的数学模型为例进行研究。该模型描述了两个异性种群在选择伴侣和养育后代策略上的竞争。对于受乘法谐波信号影响的系统，在一定的频率失谐范围内会出现频率和相位同步。通过研究可变振荡的特征振幅和寿命的变化特征（取决于与某些游戏报酬（模拟伴侣选择偏好的季节性变化）相对应的参数周期性调制的振幅和频率），我们展示了在同步模式内外控制这种振荡特性的可能性。

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来源期刊

Radiophysics and Quantum Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

1.10

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as: Radio astronomy; Plasma astrophysics; Ionospheric, atmospheric and oceanic physics; Radiowave propagation; Quantum radiophysics; Pphysics of oscillations and waves; Physics of plasmas; Statistical radiophysics; Electrodynamics; Vacuum and plasma electronics; Acoustics; Solid-state electronics. Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April. All articles are peer-reviewed.