English

Tangent bundles to regular basic sets in hyperbolic dynamics

Dynamical Systems 2010-09-02 v1

Abstract

Given a locally maximal compact invariant hyperbolic set Λ\Lambda for a C1C^1 flow or diffeomorphism on a Riemann manifold with C1C^1 unstable laminations, we construct an invariant continuous bundle of tangent vectors to local unstable manifolds that locally approximates Λ\Lambda in a certain way.

Keywords

Cite

@article{arxiv.1009.0102,
  title  = {Tangent bundles to regular basic sets in hyperbolic dynamics},
  author = {Luchezar Stoyanov},
  journal= {arXiv preprint arXiv:1009.0102},
  year   = {2010}
}

Comments

7 pages

R2 v1 2026-06-21T16:07:53.617Z