The Geometry of Ordinary Variational Equations
The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1678 |
| Matèries: | |
| Accés en línia: | 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 geometry of ordinary variational equations, Olga Krupková, Berlin, Springer-Verlag, 1997, 1 vol. (X-251 p.), Lecture notes in mathematics, 3-540-63832-6 • The Geometry of Ordinary Variational Equations, Texte imprimé, 9783662212707 |
Taula de continguts:
- Basic geometric tools
- Lagrangean dynamics on fibered manifolds
- Variational Equations
- Hamiltonian systems
- Regular Lagrangean systems
- Singular Lagrangean systems
- Symmetries of Lagrangean systems
- Geometric intergration methods
- Lagrangean systems on ?: R.M R.