2016/01/26 by Gomes, Paulo, Franco, Nuno, Silva, Luís
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1601.07070
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.