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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,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2013.
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| Edición: | 1st ed. 2013. |
| Colección: | Atlantis Studies in Dynamical Systems,
2 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-94-6239-003-4 | ||
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| 007 | cr nn 008mamaa | ||
| 008 | 130817s2013 fr | s |||| 0|eng d | ||
| 020 | |a 9789462390034 |9 978-94-6239-003-4 | ||
| 024 | 7 | |a 10.2991/978-94-6239-003-4 |2 doi | |
| 050 | 4 | |a QA843-871 | |
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| 082 | 0 | 4 | |a 515.39 |2 23 |
| 100 | 1 | |a Eldering, Jaap. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Normally Hyperbolic Invariant Manifolds |h [electronic resource] : |b The Noncompact Case / |c by Jaap Eldering. |
| 250 | |a 1st ed. 2013. | ||
| 264 | 1 | |a Paris : |b Atlantis Press : |b Imprint: Atlantis Press, |c 2013. | |
| 300 | |a XII, 189 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Atlantis Studies in Dynamical Systems, |x 2213-3534 ; |v 2 | |
| 505 | 0 | |a Introduction -- Manifolds of bounded geometry -- Persistence of noncompact NHIMs -- Extension of results. | |
| 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. | ||
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Mathematics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789462390423 |
| 776 | 0 | 8 | |i Printed edition: |z 9789462390041 |
| 776 | 0 | 8 | |i Printed edition: |z 9789462390027 |
| 830 | 0 | |a Atlantis Studies in Dynamical Systems, |x 2213-3534 ; |v 2 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.2991/978-94-6239-003-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||