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...
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| Autor principal: | |
|---|---|
| Formato: | Thèse numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2007. |
| Colecção: | Lecture Notes in Mathematics
1907 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 219 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Numérisation de l'édition de Berlin ; Heidelberg : Springer, cop. 2007 |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Attractivity and bifurcation for nonautonomous dynamical systems, Martin Rasmussen, Berlin, Springer, 2007, 1 vol. (XI-212 p.), Lecture notes in mathematics, 3-540-71224-0 |
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| 100 | 1 | |a Rasmussen, Martin, |d 1975- | |
| 245 | 1 | 0 | |a Attractivity and Bifurcation for Nonautonomous Dynamical Systems |c Martin Rasmussen. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1907 |x 1617-9692 | |
| 500 | |a L'impression du document génère 219 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Numérisation de l'édition de Berlin ; Heidelberg : Springer, cop. 2007 | ||
| 502 | |a Texte remanié de. Thèse de. Mathématiques. Augsburg. 2005 | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Notions of Attractivity and Bifurcation Nonautonomous Morse Decompositions LinearSystems Nonlinear Systems Bifurcations in Dimension One Bifurcations of Asymptotically Autonomous Systems | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Équations différentielles linéaires | ||
| 650 | |a Dynamique différentiable | ||
| 650 | |a Théorie de la bifurcation | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 115734996 |t Attractivity and bifurcation for nonautonomous dynamical systems |f Martin Rasmussen |c Berlin |n Springer |d 2007 |p 1 vol. (XI-212 p.) |s Lecture notes in mathematics |z 3-540-71224-0 | |
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