JournalsaihpcVol. 35, No. 5pp. 1409–1433

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