Genus and braid index associated to sequences of renormalizable Lorenz maps

Author:

Franco Nuno, ,Silva Luís,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference12 articles.

1. Knotted periodic orbits in dynamical systems. I. Lorenz's equations,;J. Birman;Topology,1983

2. Periodic points and topological entropy of one-dimensional maps, in "Global Theory of Dynamical Systems" (Proc. Internat. Conf., Northwestern Univ., Evanston, Ill., 1979),;L. Block;Lecture Notes in Mathematics,1980

3. Universal models for Lorenz maps,;W. de Melo;Ergod. Th and Dynam. Sys.,2001

4. "One-Dimensional Dynamics,";W. de Melo;Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)],1993

5. Braids and the Jones polynomial,;J. Franks;Trans. Am. Math. Soc.,1987

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1. Classification of a Family of Lorenz Knots with Reducible Symbolic Sequences;NODYCON Conference Proceedings Series;2021-07-19

2. Farey neighbors and hyperbolic Lorenz knots;Journal of Knot Theory and Its Ramifications;2017-08

3. Genus for knots and links in renormalizable templates with several branch nodes;Nonlinear Dynamics;2014-04-10

4. Families of Hyperbolic Lorenz Knots;Nonlinear Maps and their Applications;2014

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