Noise-induced spatial pattern formation in stochastic reaction-diffusion systems

Yutaka Hori, Shinji Hara

研究成果: Conference article

8 引用 (Scopus)


This paper is concerned with stochastic reaction-diffusion kinetics governed by the reaction-diffusion master equation. Specifically, the primary goal of this paper is to provide a mechanistic basis of Turing pattern formation that is induced by intrinsic noise. To this end, we first derive an approximate reaction-diffusion system by using linear noise approximation. We show that the approximated system has a certain structure that is associated with a coupled dynamic multi-agent system. This observation then helps us derive an efficient computation tool to examine the spatial power spectrum of the intrinsic noise. We numerically demonstrate that the result is quite effective to analyze noise-induced Turing pattern. Finally, we illustrate the theoretical mechanism behind the noise-induced pattern formation with a H2 norm interpretation of the multi-agent system.

ジャーナルProceedings of the IEEE Conference on Decision and Control
出版物ステータスPublished - 2012 12 1
イベント51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
継続期間: 2012 12 102012 12 13

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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