Origin of amplitude synchronization in coupled nonidentical oscillators,Physical Review E

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Origin of amplitude synchronization in coupled nonidentical oscillators
Physical Review E ( IF 2.2 ) Pub Date : 2020-02-18 , DOI: 10.1103/physreve.101.022210
Qi Qiu ₁ , Benzheng Zhou ₁ , Pai Wang ₁ , Ligang He ₁ , Yunhao Xiao ₁ , Zhenyu Yang ₁ , Meng Zhan ₁

Affiliation

The origin of amplitude synchronization (AS), or amplitude envelope synchronization, as a peculiar form of strong correlation between amplitudes of oscillators is studied by using a model of coupled Landau-Stuart periodic oscillators. We find that the AS extensively occurs within the traditional phase drift region, and the amplitude correlation does not change with variation of the coupling strength but is dampened with increase of the frequency mismatch. The AS appears only at weak couplings and before the occurrence of phase synchronization (PS), and the oscillator amplitude is modulated by its phase. This study could build a solid foundation for AS, which has not drawn much attention in the nonlinear dynamics field before, providing a clear physical picture for synchronization including not only PS, but also AS, and arousing general interest in many interdisciplinary fields, such as neuronal systems, laser dynamics, nanomechanical resonators, and power systems, etc., where phase and amplitude are always mutually influenced and both are important.

中文翻译：

耦合非相同振荡器中幅度同步的起源

通过使用耦合的朗道-斯图尔特周期振荡器模型研究了振幅同步（AS）或振幅包络同步的起源，作为振荡器振幅之间强相关性的一种特殊形式。我们发现AS广泛出现在传统的相位漂移区域内，并且幅度相关性不随耦合强度的变化而变化，而是随着频率失配的增加而减弱。AS仅出现在弱耦合和相位同步（PS）发生之前，并且振荡器幅度由其相位调制。这项研究可以为之前在非线性动力学领域引起广泛关注的 AS 打下坚实的基础，为同步提供清晰的物理图景，不仅包括 PS，还包括 AS，

更新日期：2020-02-19

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