English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  A universal order parameter for synchrony in networks of limit cycle oscillators

Schröder, M., Timme, M., & Witthaut, D. (2017). A universal order parameter for synchrony in networks of limit cycle oscillators. Chaos, 27(7): 073119. doi:10.1063/1.4995963.

Item is

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Schröder, Malte1, Author              
Timme, Marc1, Author              
Witthaut, D., Author
Affiliations:
1Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063295              

Content

show
hide
Free keywords: -
 Abstract: We analyze the properties of order parameters measuring synchronization and phase locking in complex oscillator networks. First, we review network order parameters previously introduced and reveal several shortcomings: none of the introduced order parameters capture all transitions from incoherence over phase locking to full synchrony for arbitrary, finite networks. We then introduce an alternative, universal order parameter that accurately tracks the degree of partial phase locking and synchronization, adapting the traditional definition to account for the network topology and its influence on the phase coherence of the oscillators. We rigorously prove that this order parameter is strictly monotonously increasing with the coupling strength in the phase locked state, directly reflecting the dynamic stability of the network. Furthermore, it indicates the onset of full phase locking by a diverging slope at the critical coupling strength. The order parameter may find applications across systems where different types of synchrony are possible, including biological networks and power grids.

Details

show
hide
Language(s): eng - English
 Dates: 2017-07-272017-07
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1063/1.4995963
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Chaos
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: 7 Volume / Issue: 27 (7) Sequence Number: 073119 Start / End Page: - Identifier: -