| Titre : |
Introduction to the modern theory of dynamycal systems |
| Type de document : |
texte imprimé |
| Auteurs : |
A. Katok, Auteur ; B. Hasselblatt, Auteur |
| Editeur : |
Cambridge : Cambridge University Press |
| Année de publication : |
1995 |
| Collection : |
Encyclopedia of Mathematics and its Applications num. 54 |
| Importance : |
XVIII-802 p. |
| Présentation : |
Broché. Couv.ill.en coul., graph. |
| Format : |
24 cm |
| ISBN/ISSN/EAN : |
978-0-521-57557-7 |
| Langues : |
Anglais (eng) |
| Catégories : |
(05.40) Fluctuations, processus aleatoires et mouvement Brownien
|
| Mots-clés : |
Entropy Markov processes Dynamical systems |
| Index. décimale : |
05.40 |
| Résumé : |
introduction part 1. examples and fundamental concepts 1. first examples 2. equivalence, classification and invariants 3. principal classes of asymptotic topological invariants 4. statistical behavior of orbits and introduction to ergodic theory 5. systems with smooth invariant measures and more examples part 2. local analysis and orbit growth 6. local hyperbolic theory and its applications 7. transversality and genericity 8. orbit growth arising from topology 9. variational aspects of dynamics part 3. low-dimensional phenomena 10 : introduction. what is low-dimensional dynamics ? 11. homeomorphism of the circle 12. circle diffeomorphisms 13. twist maps 14. flows on surfaces and related dynamical systems 15. continuous maps of the interval 16. smooth maps of the interval part 4. hyperbolic dynamical systems 17. survey of examples 18. topological properties of hyperbolics sets 19. metric structure of hyperbolic sets 20. equilibrium states and smooth invariant measures supplement appendix |
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