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- W2037112306 abstract "We construct the first examples of flows with robust multidimensional Lorenz-like attractors: the singularity contained in the attractor may have any number of expanding eigenvalues, and the attractor remains transitive in a whole neighbourhood of the initial flow. These attractors support a Sinai-Ruelle-Bowen SRB-measure and, contrary to the usual (low-dimensional) Lorenz models, they have infinite modulus of structural stability. Nous construisons les premiers exemples de flots possédant un attracteur robuste de type Lorenz. multidimensionnel : l'attracteur contient un zéro dont la variété instable est de dimension arbitraire, et il reste transitif pour toute perturbation du flot initial. Ces attracteurs sont le support d'une mesure de Sinai-Ruelle-Bowen et, contrairement aux attracteurs de Lorenz usuels (en dimension 3). ils ont un module de déformations de dimension infinie." @default.
- W2037112306 created "2016-06-24" @default.
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- W2037112306 date "1997-10-01" @default.
- W2037112306 modified "2023-09-25" @default.
- W2037112306 title "Attracteurs de Lorenz de variété instable de dimension arbitraire" @default.
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- W2037112306 doi "https://doi.org/10.1016/s0764-4442(97)80131-0" @default.
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