A note on reversibility and Pell equations
Dynamical Systems
2015-11-30 v1
Abstract
We consider hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. We will prove that within this context reversibility is linked to a generalized Pell equation whose solutions we will analyze. Additionally, we will verify to what extent reversibility is a common feature and characterize the generic setting.
Cite
@article{arxiv.1511.08649,
title = {A note on reversibility and Pell equations},
author = {Mario Bessa and Maria Carvalho and Alexandre Rodrigues},
journal= {arXiv preprint arXiv:1511.08649},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1402.0070