Variational principle for contact Tonelli Hamiltonian systems
Dynamical Systems
2015-05-13 v1 Analysis of PDEs
Abstract
We establish an implicit variational principle for the equations of the contact flow generated by the Hamiltonian with respect to the contact 1-form under Tonelli and Osgood growth assumptions. It is the first step to generalize Mather's global variational method from the Hamiltonian dynamics to the contact Hamiltonian dynamics.
Cite
@article{arxiv.1505.02918,
title = {Variational principle for contact Tonelli Hamiltonian systems},
author = {Lin Wang and Jun Yan},
journal= {arXiv preprint arXiv:1505.02918},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1408.3791