The Principle of Least Action in Geometry and Dynamics
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplecti...
Bewaard in:
| Hoofdauteur: | |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Reeks: | Lecture notes in mathematics
1844 |
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The principle of least action in geometry and dynamics, Karl Friedrich Siburg, 2004, Berlin, Springer, 1 vol. (XII-128 p.), Lecture notes in mathematics, 3-540-21944-7 • The Principle of Least Action in Geometry and Dynamics, Texte imprimé, 9783662190296 |
Inhoudsopgave:
- Aubry-Mather Theory
- Mather-Mané Theory
- The Minimal Action and Convex Billiards
- The Minimal Action Near Fixed Points and Invariant Tori
- The Minimal Action and Hofer's Geometry
- The Minimal Action and Symplectic Geometry
- References
- Index.