Generic area-preserving reversible diffeomorphisms
Dynamical Systems
2015-05-20 v1
Abstract
Let M be a surface and R an involution in M whose set of fixed points is a submanifold with dimension 1 and such that R is an isometry. We will show that there is a residual subset of C1 area-preserving R-reversible diffeomorphisms which are either Anosov or have zero Lyapunov exponents at almost every point.
Cite
@article{arxiv.1402.0070,
title = {Generic area-preserving reversible diffeomorphisms},
author = {Mário Bessa and Maria Carvalho and Alexandre Rodrigues},
journal= {arXiv preprint arXiv:1402.0070},
year = {2015}
}
Comments
27 pages, 2 figures