Time-delayed Spatial Patterns in a Two-dimensional Array of Coupled Oscillators
Pattern Formation and Solitons
2009-11-07 v3 Adaptation and Self-Organizing Systems
Abstract
We investigated the effect of time delays on phase configurations in a set of two-dimensional coupled phase oscillators. Each oscillator is allowed to interact with its neighbors located within a finite radius, which serves as a control parameter in this study. It is found that distance-dependent time-delays induce various patterns including traveling rolls, square-like and rhombus-like patterns, spirals, and targets. We analyzed the stability boundaries of the emerging patterns and briefly pointed out the possible empirical implications of such time-delayed patterns.
Cite
@article{arxiv.nlin/0106045,
title = {Time-delayed Spatial Patterns in a Two-dimensional Array of Coupled Oscillators},
author = {Seong-Ok Jeong and Tae-Wook Ko and Hie-Tae Moon},
journal= {arXiv preprint arXiv:nlin/0106045},
year = {2009}
}
Comments
5 Figures