Collective modes of coupled phase oscillators with delayed coupling
Chaotic Dynamics
2012-05-21 v1 Disordered Systems and Neural Networks
Cell Behavior
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 wavelength. 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.
Cite
@article{arxiv.1205.4127,
title = {Collective modes of coupled phase oscillators with delayed coupling},
author = {Saul Ares and Luis G. Morelli and David J. Jorg and Andrew C. Oates and Frank Julicher},
journal= {arXiv preprint arXiv:1205.4127},
year = {2012}
}
Comments
5 pages, 2 figures