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Auteur Anatole KATOK |
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A first course in dynamics / Boris HASSELBLATT (2003)
Titre : A first course in dynamics : with a panorama of recent developments Type de document : texte imprimé Auteurs : Boris HASSELBLATT, Auteur ; Anatole KATOK, Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 2003 Importance : 424 p. ISBN/ISSN/EAN : 0-521-58750-8 Langues : Anglais Mots-clés : système dynamique Résumé : The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory. Note de contenu : index A first course in dynamics : with a panorama of recent developments [texte imprimé] / Boris HASSELBLATT, Auteur ; Anatole KATOK, Auteur . - Cambridge : Cambridge University Press, 2003 . - 424 p.
ISSN : 0-521-58750-8
Langues : Anglais
Mots-clés : système dynamique Résumé : The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory. Note de contenu : index Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 19716 HAS/37/7983 Livre Recherche Salle Manquant
Exclu du prêt19805 HAS/37/8065 Livre Recherche Salle Disponible Introduction to the modern theory of dynamical systems / Anatole KATOK (1997)
Titre : Introduction to the modern theory of dynamical systems Type de document : monographie Auteurs : Anatole KATOK, Auteur ; Boris HASSELBLATT, Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 1997 Collection : Encyclopedia of mathematics and its applications num. 54 Importance : 802 p. ISBN/ISSN/EAN : 0-521-34187-6 hardba Langues : Anglais Mots-clés : système dynamique Note de contenu : index, références Introduction to the modern theory of dynamical systems [monographie] / Anatole KATOK, Auteur ; Boris HASSELBLATT, Auteur . - Cambridge : Cambridge University Press, 1997 . - 802 p.. - (Encyclopedia of mathematics and its applications; 54) .
ISSN : 0-521-34187-6 hardba
Langues : Anglais
Mots-clés : système dynamique Note de contenu : index, références Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 15308 KAT/37/7008 Livre Recherche Salle Disponible Invariant manifolds, entropy and billards ; smooth maps with singularities / Anatole KATOK (1986)
Titre : Invariant manifolds, entropy and billards ; smooth maps with singularities Type de document : monographie Auteurs : Anatole KATOK, Auteur ; Jean-Marie Strelcyn, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 1986 Collection : Lecture Note in Mathematics, ISSN 0075-8434 num. 1222 Importance : 283 p. ISBN/ISSN/EAN : 978-3-540-17190-4 Langues : Anglais Mots-clés : variété invariante billard singularité entropie Note de contenu : références Invariant manifolds, entropy and billards ; smooth maps with singularities [monographie] / Anatole KATOK, Auteur ; Jean-Marie Strelcyn, Auteur . - Berlin : Springer-Verlag, 1986 . - 283 p.. - (Lecture Note in Mathematics, ISSN 0075-8434; 1222) .
ISBN : 978-3-540-17190-4
Langues : Anglais
Mots-clés : variété invariante billard singularité entropie Note de contenu : références Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 15787 LN 1222 Livre Recherche Salle Disponible Smooth ergodic theory ans its applications / Anatole KATOK (Cop. 2001)
Titre : Smooth ergodic theory ans its applications : Proceedings of the AMS summer research institute on smooth ergodic theory and its applications july 26-august 13, 1999, university of Washington, Seattle Type de document : texte imprimé Auteurs : Anatole KATOK, Editeur scientifique Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : Cop. 2001 Collection : Proceedings of symposia in pure mathematics, ISSN 0082-0717 num. 69 Importance : X-881 p. ISBN/ISSN/EAN : 978-0-8218-2682-9 Langues : Anglais Mots-clés : théorie ergodique Résumé : This volume serves a two-fold purpose: first, it gives a useful gateway to smooth ergodic theory for students and nonspecialists, and second, it provides a state-of-the-art report on important current aspects of the subject. The book is divided into three parts: lecture notes consisting of three long expositions with proofs aimed to serve as a comprehensive and self-contained introduction to a particular area of smooth ergodic theory; thematic sections based on mini-courses or surveys held at the conference; and original contributions presented at the meeting or closely related to the topics that were discussed there. Note de contenu : références Smooth ergodic theory ans its applications : Proceedings of the AMS summer research institute on smooth ergodic theory and its applications july 26-august 13, 1999, university of Washington, Seattle [texte imprimé] / Anatole KATOK, Editeur scientifique . - Providence, R. I. (Etats Unis) : American Mathematical Society, Cop. 2001 . - X-881 p.. - (Proceedings of symposia in pure mathematics, ISSN 0082-0717; 69) .
ISBN : 978-0-8218-2682-9
Langues : Anglais
Mots-clés : théorie ergodique Résumé : This volume serves a two-fold purpose: first, it gives a useful gateway to smooth ergodic theory for students and nonspecialists, and second, it provides a state-of-the-art report on important current aspects of the subject. The book is divided into three parts: lecture notes consisting of three long expositions with proofs aimed to serve as a comprehensive and self-contained introduction to a particular area of smooth ergodic theory; thematic sections based on mini-courses or surveys held at the conference; and original contributions presented at the meeting or closely related to the topics that were discussed there. Note de contenu : références Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 19324 1791/69 Livre Recherche Salle Disponible 19708 1791/69 Livre Recherche Salle Disponible