Nantilus
Attractivity and Bifurcation for Nonautonomous Dynamical Systems
Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based...
Enregistré dans:
| Auteur principal : | |
|---|---|
| Format : | Thèse ou mémoire |
| Langue : | anglais |
| Titre complet : | Attractivity and Bifurcation for Nonautonomous Dynamical Systems / Martin Rasmussen. |
| Édition : | 1st ed. 2007. |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
| Collection : | Lecture notes in mathematics (Internet) ; 1907 |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Reproduction de : | Numérisation de l'édition de Berlin ; Heidelberg : Springer, cop. 2007 |
| Note de thèse : | Texte remanié de : Thèse de : Mathématiques : Augsburg : 2005 |
| Contenu : | Notions of Attractivity and Bifurcation. Nonautonomous Morse Decompositions. LinearSystems. Nonlinear Systems. Bifurcations in Dimension One. Bifurcations of Asymptotically Autonomous Systems |
| Sujets : | |
| Documents associés : | Autre format:
Attractivity and bifurcation for nonautonomous dynamical systems |
| Résumé : | Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed |
|---|---|
| Notes : | L'impression du document génère 219 p. |
| Bibliographie : | Bibliogr. Index |
| ISBN : | 978-3-540-71225-1 |
| DOI : | 10.1007/978-3-540-71225-1 |