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...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| coleção: | Lecture notes in mathematics
1844 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
| LEADER | 03103nam a22004097a 4500 | ||
|---|---|---|---|
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| 009 | PPN155205366 | ||
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Siburg, Karl Friedrich, |d 19..- | |
| 245 | 1 | 0 | |a The Principle of Least Action in Geometry and Dynamics |c by Karl Friedrich Siburg. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1844 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 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 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 symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book. | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Variétés symplectiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Principe de moindre action | ||
| 776 | 0 | |0 07971420X |t The principle of least action in geometry and dynamics |f Karl Friedrich Siburg |d 2004 |c Berlin |n Springer |p 1 vol. (XII-128 p.) |s Lecture notes in mathematics |z 3-540-21944-7 | |
| 776 | 0 | |t The Principle of Least Action in Geometry and Dynamics |b Texte imprimé |z 9783662190296 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-40985-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LR6S4D0H-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750653736 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b97327 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754003884 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b97327 |z Accès INSA CVL | |
| 997 | |0 971330 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||