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Topological attractors of contracting Lorenz maps |
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| Authors: | Paulo Brandão |
| Institution: | IMPA, Estrada Dona Castorina, 110, Rio de Janeiro, Brazil |
| 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. |
| Keywords: | Dynamical systems Topological attractors Maps of the interval Contracting Lorenz maps |
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