Some hyperbolicity revisited and robust transitivity
Dynamical Systems
2026-01-14 v3
Abstract
In this article we revisit the notion of \textit{Some Hyperbolicity} introduced by Pujals and Sambarino in \cite{PuSa}. We present a more general definition, that in particular can be applied to the symplectic context (something that the previous couldn't). As an application we construct robustly transitive derived from Anosov diffeomorphisms with mixed behaviour on center leaves.
Cite
@article{arxiv.2302.01914,
title = {Some hyperbolicity revisited and robust transitivity},
author = {Luis Pedro Piñeyrúa},
journal= {arXiv preprint arXiv:2302.01914},
year = {2026}
}
Comments
Small corrections. Two more examples added