复杂网络中的排斥同步

Repulsive synchronization in complex networks.

作者信息

Gao Ya-Chun, Fu Chuan-Ji, Cai Shi-Min, Yang Chun, Eugene Stanley H

机构信息

School of Physics, University of Electronic Science and Technology of China, Cheng Du 610054, China.

Web Sciences Center, School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610073, China.

出版信息

Chaos. 2019 May;29(5):053130. doi: 10.1063/1.5089567.

DOI:10.1063/1.5089567

PMID:31154772

Abstract

Synchronization in complex networks characterizes what happens when an ensemble of oscillators in a complex autonomous system become phase-locked. We study the Kuramoto model with a tunable phase-lag parameter α in the coupling term to determine how phase shifts influence the synchronization transition. The simulation results show that the phase frustration parameter leads to desynchronization. We find two global synchronization regions for α∈[0,2π) when the coupling is sufficiently large and detect a relatively rare network synchronization pattern in the frustration parameter near α=π. We call this frequency-locking configuration as "repulsive synchronization," because it is induced by repulsive coupling. Since the repulsive synchronization cannot be described by the usual order parameter r, the parameter frequency dispersion is introduced to detect synchronization.

摘要

复杂网络中的同步描述了复杂自治系统中一组振荡器发生锁相时所发生的情况。我们研究了耦合项中具有可调相位滞后参数α的Kuramoto模型，以确定相移如何影响同步转变。仿真结果表明，相位失配参数会导致去同步。当耦合足够大时，我们发现α∈[0,2π) 时有两个全局同步区域，并在α=π附近的失配参数中检测到一种相对罕见的网络同步模式。我们将这种频率锁定配置称为“排斥同步”，因为它是由排斥耦合引起的。由于排斥同步不能用通常的序参量r来描述，因此引入参数频率色散来检测同步。