Iterations of transformations on the unit interval: Approach to a periodic attractor |
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| Authors: | Jean Coste |
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| Affiliation: | (1) Laboratoire de Physique de la Matiére Condensée, Parc Valrose, Nice, France |
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| Abstract: | We consider a transformation of the unit interval which exhibits a stable periodic attractor and whose topological entropy is positive. We show that the dynamics leading to this attractor has a statistical character. |
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| Keywords: | Iteration of transformations attractors periodic orbits Cantor sets invariant measure topological entropy |
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