Pattern Formation in Locally Connected Oscillatory Networks

Abstract

The subject of our study is a class of networks consisting of locally connected nonlinear oscillators. In spatially continual limit these oscillatory networks can be considered as oscillatory media governed by a system of reaction-diffusion equations. Formation of spatio-temporal patterns in nonlinear active media (wave trains, standing waves, targets and shock structures, spiral waves, stripe patterns, cluster states ) is the subject of interest in physical, chemical, biological problems.