0000000000114765

AUTHOR

António Pumariño

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Attracteurs de Lorenz de variété instable de dimension arbitraire

1997

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.

Nonlinear Sciences::Chaotic DynamicsTransitive relationMathematics::Dynamical SystemsSingularityFlow (mathematics)Structural stabilityMathematical analysisAttractorNeighbourhood (graph theory)General MedicineLorenz systemEigenvalues and eigenvectorsMathematicsComptes Rendus de l'Académie des Sciences - Series I - Mathematics
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