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On closed orbits for twisted autonomous Tonelli Lagrangian flows

Benedetti Gabriele

Research article (book contribution) | Peer reviewed

Abstract

These lecture notes were prepared in occasion of a mini-course given by the author at the "CIMPA Research School - Hamiltonian and Lagrangian Dynamics" (March 10 - 19 2015 - Salto, Uruguay). In this series of talk we illustrated some techniques to prove the existence of periodic orbits of prescribed energy for autonomous Tonelli Lagrangian systems on the twisted cotangent bundle of a closed manifold.

Details about the publication

Editors: Maderna Ezequiel, Rifford Ludovic
Book title: Publicaciones Matemáticas del Uruguay, special issue dedicated to Ricardo Mañé
Title of series: Publicaciones Matemáticas del Uruguay
Status: online first
Release year: 2016
Language in which the publication is written: English
Link to the full text: http://wwwmath.uni-muenster.de/u/benedett/Salto_Lecture_Notes_Benedetti.pdf
Keywords: Lagrangian Systems; Periodic Orbits; Twisted Cotangent Bundles

Authors from the University of Münster

Benedetti, Gabriele
Professorship for theoretical mathematics (Prof. Albers)