Notes on hyperbolic dynamics
Dynamical Systems
2018-05-31 v1
Abstract
These expository notes present a proof of the Stable/Unstable Manifold Theorem (also known as the Hadamard--Perron Theorem). They also give examples of hyperbolic dynamics: geodesic flows on surfaces of negative curvature and dispersing billiards.
Cite
@article{arxiv.1805.11660,
title = {Notes on hyperbolic dynamics},
author = {Semyon Dyatlov},
journal= {arXiv preprint arXiv:1805.11660},
year = {2018}
}
Comments
52 pages, 15 figures