Propriétés statistiques des systèmes dynamiques déterministes et aléatoires

Abstract : The first part of the thesis discusses various notions concerning the statistical properties of deterministic systems with particular reference to a class of one- dimensional maps exhibiting both neutral xed points and a point of discontinuity with unbounded derivative. The second part introduces the notion of a stochastic perturbation of a deterministic dynamical system and gives conditions under the which a system is \stable" under such perturbations in a certain sense. Finally, in part 3 an application is given to the study of the distribution of errors in numerical studies of deterministic dynamical systems.
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Submitted on : Tuesday, December 8, 2009 - 7:06:41 AM
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Philippe Marie. Propriétés statistiques des systèmes dynamiques déterministes et aléatoires. Physique mathématique [math-ph]. Université de la Méditerranée - Aix-Marseille II, 2009. Français. ⟨tel-00439610⟩

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