In-phase Synchronization of Two Coupled Metronomes
Xuepeng Wang, Sihui Wang
TL;DR
This paper analyzes the synchronization behavior of coupled metronomes using mathematical methods, exploring parameter effects and connecting models like Van der Pol oscillators and Kuramoto to understand synchronization dynamics.
Contribution
It introduces approximate solutions for coupled Van der Pol oscillators and links them to Kuramoto Model applications in metronome synchronization.
Findings
Parameters significantly influence synchronization prerequisites.
Quantitative analysis of synchronization time.
Derivation of Van der Pol oscillator from discrete models.
Abstract
This paper used multi-scale method and KBM method to get approximate solution of coupled Van der Pol oscillators, based on which, researchers investigated the impact several parameters have on the prerequisite of synchronization and the time it takes to synchronize quantitatively. In addition, this paper has a brief introduction of the usage of Kuramoto Model in plural metronomes' synchronization and the derivation of Van der Pol oscillator from the discrete model.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation