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A graph-theoretic method for detecting potential Turing bifurcations

2006
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Journal of Chemical Physics
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The conditions for diffusion-driven ͑Turing͒ instabilities in systems with two reactive species are well known. General methods for detecting potential Turing bifurcations in larger reaction schemes are, on the other hand, not well developed. We prove a theorem for a graph-theoretic condition originally given by Volpert and Ivanova ͓Mathematical Modeling ͑Nauka, Moscow, 1987͒ ͑in Russian͒, p. 57͔ for Turing instabilities in a mass-action reaction-diffusion system involving n substances. The

doi:10.1063/1.2397073
pmid:17144685
fatcat:xtfdruzairgp3i6wbvggvyzole