Non-resonant tori in symplectic twist maps without conjugate points
Dynamical Systems
2018-02-09 v1
Abstract
We study the dynamics of a symplectic twist map without conjugate points. We show that in a neighborhood of a totally periodic Lagrangian manifold, there exists a large family of invariant Lagrangian tori on which the twist map is conjugated to a translation of non-resonant vector.
Keywords
Cite
@article{arxiv.1802.02858,
title = {Non-resonant tori in symplectic twist maps without conjugate points},
author = {Marc Arcostanzo},
journal= {arXiv preprint arXiv:1802.02858},
year = {2018}
}