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arxiv: cond-mat/0410574 · v1 · submitted 2004-10-22 · ❄️ cond-mat.stat-mech · cond-mat.other

Characterization of spatiotemporal chaos in an inhomogeneous active medium

classification ❄️ cond-mat.stat-mech cond-mat.other
keywords chaosinhomogeneousorbitsreactionspatiotemporalunstableactivator-inhibitoractive
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We study a reaction diffusion system of the activator-inhibitor type with inhomogeneous reaction terms showing spatiotemporal chaos. We analyze the topological properties of the unstable periodic orbits in the slow chaotic dynamics appearing, which can be embedded in three dimensions. We perform a bi-orthogonal decomposition analyzing the minimum number of modes necessary to find the same organization of unstable orbits.

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