Lectures on the free period Lagrangian action functional
Dynamical Systems
2015-04-22 v1
Abstract
In this expository article we study the question of the existence of periodic orbits of prescribed energy for classical Hamiltonian systems on compact configuration spaces. We use a variational approach, by studying how the behavior of the free period Lagrangian action functional changes when the energy crosses certain values, known as the Ma\~n\'e critical values.
Keywords
Cite
@article{arxiv.1309.0149,
title = {Lectures on the free period Lagrangian action functional},
author = {Alberto Abbondandolo},
journal= {arXiv preprint arXiv:1309.0149},
year = {2015}
}
Comments
This expository article is the outcome of two series of lectures that the author gave at two summer schools at the Korea Institute for Advanced Study of Seul in 2010 and at the Universit\'e de Neuch\^atel in 2011