Collective synchronization in the presence of reactive coupling and shear diversity

Ernest Montbrió and Diego Pazó
Phys. Rev. E 84, 046206 – Published 12 October 2011

Abstract

We analyze the synchronization dynamics of a model obtained from the phase reduction of the mean-field complex Ginzburg-Landau equation with heterogeneity. We present exact results that uncover the role of dissipative and reactive couplings on the synchronization transition when shears and natural frequencies are independently distributed. As it occurs in the purely dissipative case, an excess of shear diversity prevents the onset of synchronization, but this does not hold true if coupling is purely reactive. In this case, the synchronization threshold turns out to depend on the mean of the shear distribution, but not on all the other distribution’s moments.

  • Figure
  • Figure
  • Received 3 August 2011

DOI:https://doi.org/10.1103/PhysRevE.84.046206

©2011 American Physical Society

Authors & Affiliations

Ernest Montbrió1 and Diego Pazó2

  • 1Computational Neuroscience Group, Department of Information and Communication Technologies, Universitat Pompeu Fabra, E-08003 Barcelona, Spain
  • 2Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, E-39005 Santander, Spain

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 84, Iss. 4 — October 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×