info:eu-repo/semantics/article
Collective modes of coupled phase oscillators with delayed coupling
Date
2012-04Registration in:
Saúl Ares; Morelli, Luis Guillermo; Jörg, David J.; Oates, Andrew C.; Frank Jülicher; Collective modes of coupled phase oscillators with delayed coupling; American Physical Society; Physical Review Letters; 108; 20; 4-2012; 1-5
0031-9007
CONICET Digital
CONICET
Author
Saúl Ares
Morelli, Luis Guillermo
Jörg, David J.
Oates, Andrew C.
Frank Jülicher
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. © 2012 American Physical Society.