Special Session 34: 

CONTACT HAMILTONIAN DYNAMICS AND INVARIANT VOLUME

Edith Padron
University of La Laguna
Spain
Co-Author(s):    A. Bravetti, M de Leon, JC Marrero
Abstract:
In this talk, we will present a work in progress with A. Bravetti, M de Leon and JC Marrero about contact Hamiltonian dynamical systems. We will prove that the dynamics of this systems is a mixture of Reeb`s and Liouville`s dynamics. We will apply this result to the existence of invariant measures for contact Hamiltonian dynamical systems.