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Local estimates for entropy densities in coupled map lattices

Eckehard Olbrich·Rainer Hegger·Holger Kantz
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Abstract

We present a method to derive an upper bound for the entropy density of coupled map lattices with local interactions from local observations. To do this, we use an embedding technique being a combination of time delay and spatial embedding. This embedding allows us to identify the local character of the equations of motion. Based on this method we present an approximate estimate of the entropy density by the correlation integral.

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Eckehard Olbrich, Rainer Hegger, Holger Kantz. 2000-01-06. Local estimates for entropy densities in coupled map lattices. https://doi.org/10.1103/physrevlett.84.2132

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