Collective Modes of Coupled Phase Oscillators with Delayed Coupling

Saúl Ares, Luis G. Morelli, David J. Jörg, Andrew C. Oates, and Frank Jülicher
Phys. Rev. Lett. 108, 204101 – Published 15 May 2012

Abstract

We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillators, we derive a generic continuum theory for collective modes of long wavelengths. We use this approach to study spatial phase profiles of cellular oscillators in the segmentation clock, a dynamic patterning system of vertebrate embryos. Collective wave patterns result from the interplay of coupling delays and moving boundary conditions. We show that the phase profiles of collective modes depend on coupling delays.

  • Figure
  • Figure
  • Received 28 September 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.204101

© 2012 American Physical Society

Authors & Affiliations

Saúl Ares1,2,*, Luis G. Morelli1,3,4, David J. Jörg1, Andrew C. Oates3, and Frank Jülicher1,†

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany
  • 2Grupo Interdisciplinar de Sistemas Complejos (GISC), Spain
  • 3Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauerstr. 108, 01307 Dresden, Germany
  • 4CONICET, Departamento de Física, UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina

  • *Present address: Logic of Genomic Systems Laboratory, Centro Nacional de Biotecnología - CSIC. Calle Darwin 3, 28049 Madrid, Spain.
  • julicher@pks.mpg.de

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 108, Iss. 20 — 18 May 2012

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 Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×