Wild Lorenz like attractors
Dynamical Systems
2007-05-23 v2
Abstract
We give the first examples of flows which exhibit robust singular attractors containing a wild hyperbolic set (in the sense of Newhouse). A hyperbolic set is said to be wild, if it has tangencies between its stable and unstable manifolds, in a robust way. The only restriction on the ambient manifold is that its dimension should be at least 5.
Cite
@article{arxiv.math/0508045,
title = {Wild Lorenz like attractors},
author = {R. Bamon and J. Kiwi and J. Rivera},
journal= {arXiv preprint arXiv:math/0508045},
year = {2007}
}
Comments
A revised and shorter version where only C^2 robust transitivity is shown. 39 pages, 2 figures