no. 5
Topological attractors of contracting Lorenz maps
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 5, pp. 1409-1433.

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.

DOI : 10.1016/j.anihpc.2017.12.001
Mots clés : Dynamical systems, Topological attractors, Maps of the interval, Contracting Lorenz maps 
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Brandão, Paulo. Topological attractors of contracting Lorenz maps. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 5, pp. 1409-1433. doi : 10.1016/j.anihpc.2017.12.001. http://archive.numdam.org/articles/10.1016/j.anihpc.2017.12.001/

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