Collective modes of coupled phase oscillators with delayed coupling
arXiv:1205.4127 · doi:10.1103/PhysRevLett.108.204101
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.
5 pages, 2 figures
References in corpus (6)
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Clustered chimera states in delay coupled oscillator systems
- Intercellular Coupling Regulates the Period of the Segmentation Clock
- Delayed coupling theory of vertebrate segmentation
- Time delay in the Kuramoto model with bimodal frequency distribution
- Shear diversity prevents collective synchronization