2003/09/29 by Claudio Bonanno, Bonanno, Claudio
Mathematics · Physics and Astronomy · #28D20 #37A50 #37M25 #60H40 #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:28D20 #msc:37A50 #msc:37M25 #msc:60H40
paper · pdf · doi:10.48550/arxiv.math/0309462
17 pages, 1 figure
arxiv created 2003/09/29 · openalex publication_date 2003/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.