2016/12/01 by Brandão, Paulo
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1612.00093
We study the non-wandering set of contracting Lorenz maps. We show that if such a map f doesn't have any attracting periodic orbit, then there is a unique topological attractor. Precisely, there is a compact set Λ such that ωf(x)=Λ for a residual set of points x ∈ [0,1]. Furthermore, we classify the possible kinds of attractors that may occur.