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arXiv · 1704.03635

Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems

Yoji Kawamura·Sho Shirasaka·Tatsuo Yanagita·Hiroya Nakao
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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.

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Yoji Kawamura, Sho Shirasaka, Tatsuo Yanagita, Hiroya Nakao. 2017-07-22. Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems. https://doi.org/10.1103/physreve.96.012224

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