Variational construction of connecting orbits between Legendrian graphs
Dynamical Systems
2022-08-31 v2 Symplectic Geometry
Abstract
Motivated by the problem of global stability of thermodynamical equilibria in non-equilibrium thermodynamics formulated in a recent paper [12], we introduce some mechanisms for constructing semi-infinite orbits of contact Hamiltonian systems connecting two Legendrian graphs from the viewpoint of Aubry-Mather theory and weak KAM theory.
Cite
@article{arxiv.2208.13199,
title = {Variational construction of connecting orbits between Legendrian graphs},
author = {Liang Jin and Jun Yan and Kai Zhao},
journal= {arXiv preprint arXiv:2208.13199},
year = {2022}
}
Comments
25 pages, 1 figure, communications and comments are welcome!