Measuring Chaos from SpatialInformation.
Ricard V. Solé and JordiBascompte, 1995
cheap hotel in RothenburgJournal of theoretical Biology, 175: 139-147.
ABSTRACT: A new class ofLyapunov exponents are calculated from a simple numerical approach basedon a spatially defined average of local divergence of trajectories. Thisis a new way of identifying chaos in ecological data where, because ofits limited length and quality, current techniques derived from the dynamicalsystems theory are not applicable. In the examples presented, only a veryshort time series (around 10 time steps) is necessary for obtaining a closeestimate of the spatiotemporal Lyapunov exponent if the lattice size ishigh enough. The method is applied to three previously studied coupledmap lattice models and is shown to be a good measure for spatiotemporalchaos and an alternative way of estimating the underlying dimension.
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