Topological attractors of contracting Lorenz maps
Paulo Brandão
IMPA, Estrada Dona Castorina, 110, Rio de Janeiro, Brazil
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Abstract
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. Furthermore, we classify the possible kinds of attractors that may occur.
Cite this article
Paulo Brandão, Topological attractors of contracting Lorenz maps. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 5, pp. 1409–1433
DOI 10.1016/J.ANIHPC.2017.12.001