Farey neighbors and hyperbolic Lorenz knots

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 neighbor...

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Bibliographic Details
Main Author: Gomes, Paulo (author)
Other Authors: Franco, Nuno (author), Silva, Luís (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10400.21/7381
Country:Portugal
Oai:oai:repositorio.ipl.pt:10400.21/7381