Critical Point Theory for Lagrangian Systems

• Κύριος συγγραφέας: Mazzucchelli, Marco (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2012.
• Σειρά: Progress in Mathematics ; 293
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematical physics.; Mathematical Physics.; Dynamical Systems and Ergodic Theory.; Global Analysis and Analysis on Manifolds.

Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange’s reformulation of classical mechanics. The main feature of Lagrangian dynamics is its variational flavor: orbits are extremal points of...

Πίνακας περιεχομένων:

• 1 Lagrangian and Hamiltonian systems
• 2 Functional setting for the Lagrangian action
• 3 Discretizations
• 4 Local homology and Hilbert subspaces
• 5 Periodic orbits of Tonelli Lagrangian systems
• A An overview of Morse theory.-Bibliography
• List of symbols
• Index.