CaltechAUTHORS
  A Caltech Library Service

Renormalization group approach to oscillator synchronization

Kogan, Oleg and Rogers, Jeffrey L. and Cross, M. C. and Refael, G. (2009) Renormalization group approach to oscillator synchronization. Physical Review E, 80 (3). Art. No. 036206. ISSN 1539-3755. https://resolver.caltech.edu/CaltechAUTHORS:20091020-134924682

[img] PDF - Published Version
Restricted to Repository administrators only
See Usage Policy.

501Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20091020-134924682

Abstract

We develop a renormalization group method to investigate synchronization clusters in a one-dimensional chain of nearest-neighbor coupled phase oscillators. The method is best suited for chains with strong disorder in the intrinsic frequencies and coupling strengths. The results are compared with numerical simulations of the chain dynamics and good agreement in several characteristics is found. We apply the renormalization group and simulations to Lorentzian distributions of intrinsic frequencies and couplings and investigate the statistics of the resultant cluster sizes and frequencies, as well as the dependence of the characteristic cluster length upon parameters of these Lorentzian distributions.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevE.80.036206 DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevE.80.036206 PublisherUNSPECIFIED
Additional Information:© 2009 The American Physical Society. Received 27 October 2008; published 18 September 2009. It is a pleasure to thank Heywood Tam for numerous discussions and Tony Lee for carefully checking the RG procedure. We are also grateful to Boeing and the National Science Foundation under Grant No. DMR-0314069 for funding this work.
Funders:
Funding AgencyGrant Number
BoeingUNSPECIFIED
NSFDMR-0314069
Subject Keywords:nonlinear dynamical systems; oscillators; renormalisation; synchronisation
Issue or Number:3
Classification Code:PACS numbers: 05.45.Xt, 05.10.Cc, 89.75.Kd, 89.75.Fb.
Record Number:CaltechAUTHORS:20091020-134924682
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20091020-134924682
Official Citation:Renormalization group approach to oscillator synchronization Oleg Kogan, Jeffrey L. Rogers, M. C. Cross, and G. Refael, Phys. Rev. E 80, 036206 (2009), DOI:10.1103/PhysRevE.80.036206
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16410
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:21 Oct 2009 17:38
Last Modified:03 Oct 2019 01:11

Repository Staff Only: item control page