Characterization of spatiotemporal chaos in an inhomogeneous active medium

Details Characterization of spatiotemporal chaos in an inhomogeneous active medium Characterization of spatiotemporal chaos in an inhomogeneous active medium

2004-10-22

arxiv.org/abs/cond-mat/0410574v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, 6 figs. Physica D (in press)

Scientific paper

10.1016/j.physd.2004.08.013

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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