Specification and partial hyperbolicity for flows
Dynamical Systems
2015-07-28 v2
Abstract
In this article we prove that if a flow exhibits a partially hyperbolic attractor and it has two periodic saddles with different indices, and the stable index of one of them coincides with the dimension of strongly stable bundles, then it does not satisfy the specification property. As an application, we prove that all Geometric Lorenz attractors do not satisfy the specification property.
Keywords
Cite
@article{arxiv.1502.00745,
title = {Specification and partial hyperbolicity for flows},
author = {Naoya Sumi and Paulo Varandas and Kenichiro Yamamoto},
journal= {arXiv preprint arXiv:1502.00745},
year = {2015}
}
Comments
23 Pages, 2 figures