Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems
Adaptation and Self-Organizing Systems
2017-08-02 v2
Abstract
Optimization of the stability of synchronized states between a pair of symmetrically coupled reaction-diffusion systems exhibiting rhythmic spatiotemporal patterns is studied in the framework of the phase reduction theory. The optimal linear filter that maximizes the linear stability of the in-phase synchronized state is derived for the case where the two systems are linearly coupled. The nonlinear optimal interaction function that theoretically gives the largest linear stability of the in-phase synchronized state is also derived. The theory is illustrated by using typical rhythmic patterns in FitzHugh-Nagumo systems as examples.
Cite
@article{arxiv.1704.03635,
title = {Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems},
author = {Yoji Kawamura and Sho Shirasaka and Tatsuo Yanagita and Hiroya Nakao},
journal= {arXiv preprint arXiv:1704.03635},
year = {2017}
}
Comments
18 pages, 14 figures, revised version, to be published in PRE