Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/22040
|
| Title: | Farey neighbors and hyperbolic Lorenz knots |
| Authors: | Gomes, Paulo
Franco, Nuno
Silva, Luís |
| Keywords: | Lorenz knots
symbolic dynamics
hyperbolic knots |
| Issue Date: | 23-Jun-2017 |
| Publisher: | World Scientific Publishing Company |
| Citation: | P.Gomes, N.Franco, and L.Silva. Farey neighbors and hyperbolic Lorenz knots.-J. Knot Theory Ramifications, vol.26, no.9, art.1743004 (2017) [14 pages] |
| Abstract: | Based on symbolic dynamics of Lorenz maps, we prove that, provided one conjecture
due to Morton is true, then Lorenz knots associated 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. |
| URI: | http://dx.doi.org/10.1142/S0218216517430040
http://hdl.handle.net/10174/22040 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|
/
CIMA - Centro de Investigação em Matemática e Aplicações /
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica /
