Issue |
ESAIM: Proc.
Volume 36, April 2012
European Conference on Iteration Theory 2010
|
|
---|---|---|
Page(s) | 68 - 72 | |
DOI | https://doi.org/10.1051/proc/201236007 | |
Published online | 28 August 2012 |
On evolution of small spheres in the phase space of a dynamical system*
1
Moscow State University & Institute for Information Transmission
Problems of the Russian Academy of Sciences
e-mail: gurevich@mech.math.msu.su
2
Institute for Information Transmission Problems of the Russian Academy of
Sciences
e-mail: komech@iitp.ru
We study the connection between the entropy of a dynamical system and the boundary distortion rate of regions in the phase space of the system.
Résumé
Nous étudions la connexion entre l’entropie d’un système dynamique et le taux de distortion au bord dans l’espace des phases du système.
Mathematics Subject Classification: 54C70 / 37D20 / 34D08
Key words: Kolmogorov entropy / Lyapunov exponents / toral automorphisms / synchronized system
Mots clés : Entropie de Kolmogorov / exposants de Lyapunov / automorphismes du tore / système synchronisé
© EDP Sciences, SMAI 2012
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.