Farey neighbors and hyperbolic Lorenz knots
Dynamical Systems
2016-01-27 v1
Abstract
Based on symbolic dynamics of Lorenz maps, we prove that, pro- vided one conjecture due to Morton is true, then Lorenz knots asso- ciated to orbits of points in the renormalization intervals of Lorenz maps with reducible kneading invariant of type (X,Y) * S, where the sequences X and Y are Farey neighbors verifying some conditions, are hyperbolic.
Cite
@article{arxiv.1601.07070,
title = {Farey neighbors and hyperbolic Lorenz knots},
author = {Paulo Gomes and Nuno Franco and Luís Silva},
journal= {arXiv preprint arXiv:1601.07070},
year = {2016}
}
Comments
16 pages, 4 figures. arXiv admin note: text overlap with arXiv:1407.6341