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arXiv · 0902.3524

Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback

Yasuaki Kobayashi·Hiroshi Kori
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Abstract

A theoretical framework is developed for a precise control of spatial patterns in oscillatory media using nonlinear global feedback, where a proper form of the feedback function corresponding to a specific pattern is predicted through the analysis of a phase diffusion equation with global coupling. In particular, feedback functions that generate the following spatial patterns are analytically given: i) 2-cluster states with an arbitrary population ratio, ii) equally populated multi-cluster states, and iii) a desynchronized state. Our method is demonstrated numerically by using the Brusselator model in the oscillatory regime. Experimental realization is also discussed.

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Yasuaki Kobayashi, Hiroshi Kori. 2009-02-20. Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback. https://doi.org/10.1088/1367-2630%2F11%2F3%2F033018

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