6533b7d0fe1ef96bd125a2c8

RESEARCH PRODUCT

Attracteurs de Lorenz de variété instable de dimension arbitraire

António PumariñoChristian BonattiMarcelo Viana

subject

Nonlinear Sciences::Chaotic DynamicsTransitive relationMathematics::Dynamical SystemsSingularityFlow (mathematics)Structural stabilityMathematical analysisAttractorNeighbourhood (graph theory)General MedicineLorenz systemEigenvalues and eigenvectorsMathematics

description

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.

yearjournalcountryeditionlanguage
1997-10-01Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
https://doi.org/10.1016/s0764-4442(97)80131-0