Anti-phase collective synchronization with intrinsic in-phase coupling of two groups of electrochemical oscillators

Anti-phase collective synchronization with intrinsic in-phase coupling of two groups of electrochemical oscillators
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两组电化学振荡器具有固有同相耦合的反相集体同步

DOI:
10.1098/rsta.2019.0095
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发表时间:
2019
期刊:
Physical and Engineering Sciences
影响因子:
--
通讯作者:
Kiss, István Z.
Kiss, István Z.
中科院分区:
--
文献类型:
--
作者:
Sebek, Michael;Kawamura, Yoji;Nott, Ashley M.;Kiss, István Z.

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研究了镍在硫酸中电溶解过程中两组电化学振荡器的同步性。振荡通过组合电容和电阻耦合,以便在一对振荡器中获得(几乎)同相同步。每组内的内部耦合相对较强,但快振荡器和慢振荡器之间存在相位差。两组之间的外部耦合较弱。实验表明,两组可以表现出(几乎)反相集体同步。这种同步仅在外部耦合较弱时发生,并且相互作用被电容延迟。当外部耦合仅限于快慢元件之间时,反相同步更加突出。结果用相模型来解释。该理论预测,对于反相集体同步,对于相位耦合函数的给定偏移,必须存在最小内部相位差。对于外部快慢耦合,该条件不太严格。研究结果为模块化网络中集体相位同步的应用提供了一个框架,其中组之间的弱耦合可以诱导同步,而无需重新排列组内的相位动态。本文是主题“耦合函数:物理、生物和社会科学中的动态相互作用机制”的一部分。
The synchronization of two groups of electrochemical oscillators is investigated during the electrodissolution of nickel in sulfuric acid. The oscillations are coupled through combined capacitance and resistance, so that in a single pair of oscillators (nearly) in-phase synchronization is obtained. The internal coupling within each group is relatively strong, but there is a phase difference between the fast and slow oscillators. The external coupling between the two groups is weak. The experiments show that the two groups can exhibit (nearly) anti-phase collective synchronization. Such synchronization occurs only when the external coupling is weak, and the interactions are delayed by the capacitance. When the external coupling is restricted to those between the fast and the slow elements, the anti-phase synchronization is more prominent. The results are interpreted with phase models. The theory predicts that, for anti-phase collective synchronization, there must be a minimum internal phase difference for a given shift in the phase coupling function. This condition is less stringent with external fast-to-slow coupling. The results provide a framework for applications of collective phase synchronization in modular networks where weak coupling between the groups can induce synchronization without rearrangements of the phase dynamics within the groups.This article is part of the theme issue ‘Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences’.
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