Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems : Results and Examples
Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, tor...
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| Auteurs principaux: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2007. |
| Series: | Lecture Notes in Mathematics
1893 |
| Sujets: | |
| Acceso en liña: | 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 247 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Local and semi-local bifurcations in Hamiltonian dynamical systems, results and examples, Heinz Hanssmann, Berlin, Springer, 2007, 1 vol. (XV-237 p.), Lecture notes in mathematics, 3-540-38894-X |
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| 020 | |a 9783540388968 | ||
| 041 | 0 | |a eng | |
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| 100 | 1 | |a Hanssmann, Heinz. | |
| 245 | 1 | 0 | |a Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems : |b Results and Examples |c Heinz Hanßmann. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 1893 |x 1617-9692 | |
| 500 | |a L'impression du document génère 247 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Bifurcations of Equilibria Bifurcations of Periodic Orbits Bifurcations of Invariant Tori Perturbations of Ramified Torus Bundles Planar Singularities Stratifications Normal Form Theory Proof of the Main KAM Theorem Proofs of the Necessary Lemmata | |
| 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 Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way | ||
| 650 | |a Théorie de la bifurcation | ||
| 650 | |a Systèmes hamiltoniens | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Physique mathématique | ||
| 700 | 1 | |a Hanbmann, Heinz. |4 aut | |
| 776 | 0 | |0 110832442 |t Local and semi-local bifurcations in Hamiltonian dynamical systems |o results and examples |f Heinz Hanssmann |c Berlin |n Springer |d 2007 |p 1 vol. (XV-237 p.) |s Lecture notes in mathematics |z 3-540-38894-X | |
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| 856 | 4 | |5 452349901:747885397 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/3-540-38894-X |z Accès Université d'Orléans | |
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