Critical Point Theory for Lagrangian Systems

• Main Author: Mazzucchelli, Marco (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2012.
• Series: Progress in Mathematics ; 293
• Subjects: 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...

Table of Contents:

• 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.