Turing instability in oscillator chains with non-local coupling
Pattern Formation and Solitons
2015-05-27 v1 Adaptation and Self-Organizing Systems
Abstract
We investigate analytically and numerically the conditions for the Turing instability to occur in a one-dimensional chain of nonlinear oscillators coupled non-locally in such a way that the coupling strength decreases with the spatial distance as a power-law. A range parameter makes possible to cover the two limiting cases of local (nearest-neighbor) and a global (all-to-all) couplings. We consider an example from a non-linear auto-catalytic reaction-diffusion model.
Cite
@article{arxiv.1102.2834,
title = {Turing instability in oscillator chains with non-local coupling},
author = {R. L. Viana and F. A. dos S. Silva and S. R. Lopes},
journal= {arXiv preprint arXiv:1102.2834},
year = {2015}
}