Repulsive synchronization in complex networks

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 01, 2019
Source ID
10.1063/1.5089567

Entities

People

  • Chuan-ji Fu
  • Chun Yang
  • H. Eugene Stanley
  • Shi-Min Cai
  • Ya-chun Gao

Organizations

  • Boston University
  • Defense Threat Reduction Agency
  • National Natural Science Foundation of China
  • National Science Foundation
  • University of Electronic Science and Technology of China

Tags

Readers

  • Control Systems Engineering.
  • Optical Physics and Photonics.
  • Systems Analysis and Design

Technology Areas

  • Autonomy