Normally Hyperbolic Invariant Manifolds : The Noncompact Case
This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems. First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds,...
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| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Paris :
Atlantis Press
2013.
Cham : Springer Nature |
| Serier: | Atlantis Studies in Dynamical Systems
2 |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Normally Hyperbolic Invariant Manifolds, Texte imprimé, 9789462390027 • Normally Hyperbolic Invariant Manifolds, Texte imprimé, 9789462390041 • Normally Hyperbolic Invariant Manifolds, Texte imprimé, 9789462390423 |
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| 008 | 131018s2013 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN172434645 | ||
| 020 | |a 9789462390034 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.39 | ||
| 082 | |a 515.48 | ||
| 100 | 1 | |a Eldering, Jaap. | |
| 245 | 1 | 0 | |a Normally Hyperbolic Invariant Manifolds : |b The Noncompact Case |c by Jaap Eldering. |
| 260 | |a Paris : |b Atlantis Press. | ||
| 260 | |a Cham : |b Springer Nature, |c 2013. | ||
| 490 | 0 | |a Atlantis Studies in Dynamical Systems |v 2 |x 2213-3534 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- Manifolds of bounded geometry -- Persistence of noncompact NHIMs -- Extension of results. | |
| 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 This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems. First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs are presented. Furthermore, issues (such as uniformity and bounded geometry) arising due to noncompactness are discussed in great detail with examples. The main new result shown is a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. This extends well-known results by Fenichel and Hirsch, Pugh and Shub, and is complementary to noncompactness results in Banach spaces by Bates, Lu and Zeng. Along the way, some new results in bounded geometry are obtained and a framework is developed to analyze ODEs in a differential geometric context. Finally, the main result is extended to time and parameter dependent systems and overflowing invariant manifolds | ||
| 776 | 0 | |t Normally Hyperbolic Invariant Manifolds |b Texte imprimé |z 9789462390027 | |
| 776 | 0 | |t Normally Hyperbolic Invariant Manifolds |b Texte imprimé |z 9789462390041 | |
| 776 | 0 | |t Normally Hyperbolic Invariant Manifolds |b Texte imprimé |z 9789462390423 | |
| 856 | 4 | |q PDF |u https://doi.org/10.2991/978-94-6239-003-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-27J5M9LG-F |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747814678 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.2991/978-94-6239-003-4 |z Accès Université d'Orléans | |
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