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Characterization of spatiotemporal chaos in an inhomogeneous active media

Bouzat, S.; Wio, H.S.; Mindlin, G.
Physica D 199, 185-193 (2004)

We study a reaction diffusion system of the activator-inhibitor type with inhomogeneous reaction terms showing spatio-temporal chaos. We characterize the topological properties of the unstable orbits in the slow chaotic dynamics appearing, which can be embedded in three dimensions. We perform a biorthogonal decomposition analyzing the minimum number of modes necessary to find the same organization of unstable orbits.