Dynamical order, disorder and propagating defects in homogeneous system of relaxation oscillators
Abstract
Reaction-diffusion (RD) mechanisms in chemical and biological systems can yield a variety of patterns that may be functionally important. We show that diffusive coupling through the inactivating component in a generic model of coupled relaxation oscillators give rise to a wide range of spatio-temporal phenomena. Apart from analytically explaining the genesis of anti-phase synchronization and spatially patterned oscillatory death regimes in the model system, we report the existence of a chimera state, characterized by spatial co-occurrence of patches with distinct dynamics. We also observe propagating phase defects in both one- and two-dimensional media resembling persistent structures in cellular automata, whose interactions may be used for computation in RD systems.
Keywords
Cite
@article{arxiv.1206.2896,
title = {Dynamical order, disorder and propagating defects in homogeneous system of relaxation oscillators},
author = {Rajeev Singh and Sitabhra Sinha},
journal= {arXiv preprint arXiv:1206.2896},
year = {2013}
}
Comments
6 pages, 4 figures