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- 258pages
- 10 heures de lecture
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This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.
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Lecture Notes in Mathematics - 1893: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems, Heinz Hanßmann
- Langue
- Année de publication
- 2006
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- (souple)
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- Titre
- Lecture Notes in Mathematics - 1893: Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
- Sous-titre
- Results and Examples
- Langue
- Anglais
- Auteurs
- Heinz Hanßmann
- Éditeur
- Springer
- Publié
- 2006
- Format
- souple
- Pages
- 258
- ISBN10
- 354038894X
- ISBN13
- 9783540388944
- Séries
- Mots clés
- Nonfiction, Science et Mathématiques, Sciences naturelles, Science, Mathématiques, Physique, Europe de l'Ouest, Physique théorique, Analyse mathématique, Preuve
- Description
- This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.