Sync or anti-sync _ dynamical pattern selection in coupled self-sustained oscillator systems

25th IUPAP Conference on Computational Physics

物理学;计算机科学

Davidova, Larissa^1 ; Újvári, Szeréna^1 ; Néda, Zoltán^1

Babes¸-Bolyai University, Department of Physics, RO-400084 Cluj-Napoca, Romania^1

关键词: Anti-phase synchronization;    Chaotic dynamics;    Collective behavior;    Dynamical pattern;    Movable platforms;    Pearson correlation coefficients;    Physical parameters;    Self-sustained oscillators;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/510/1/012009/pdf
DOI  :  10.1088/1742-6596/510/1/012009

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The dynamics of similar, self-sustained oscillators coupled by a common platform exhibits fascinating collective behavior. Experiments performed with pendulum clocks and metronomes reported both the absence of synchronization, in-phase synchronization, antiphase synchronization, beat-death phenomenon, or even chaotic dynamics. Here we present a numerical study on two identical self-sustained oscillators placed on a common movable platform. As order parameter for synchronization we use the Pearson correlation coefficient between the oscillators coordinates. As a function of the relevant physical parameters of this system we reproduce all the experimentally reported dynamics. We provide conditions for obtaining stable and emergent in-phase or anti-phase synchronization.