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November  2004, 4(4): 921-934. doi: 10.3934/dcdsb.2004.4.921

The algorithmic information content for randomly perturbed systems

C. Bonanno 1,

1. 

Department of Mathematics, University of Pisa, via Buonarroti, 2/a, 56127 Pisa

Received  January 2003 Revised  March 2004 Published  August 2004

In this paper we prove estimates on the behaviour of the Kolmogorov-Sinai entropy relative to a partition for randomly perturbed dynamical systems. Our estimates use the entropy for the unperturbed system and are obtained using the notion of Algorithmic Information Content. The main result is an extension of known results to study time series obtained by the observation of real systems.
Keywords: information content., Kolmogorov-Sinai entropy, Random perturbation.
Mathematics Subject Classification: 28D20, 37A50, 37M25, 60H4.
Citation: C. Bonanno. The algorithmic information content for randomly perturbed systems. Discrete & Continuous Dynamical Systems - B, 2004, 4 (4) : 921-934. doi: 10.3934/dcdsb.2004.4.921
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