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RESEARCH PRODUCT
On C1 robust singular transitive sets for three-dimensional flows
C. A. MoralesEnrique R. PujalsMaria José Pacificosubject
Transitive relationMathematics::Dynamical SystemsFlow (mathematics)Property (programming)Mathematical analysisAttractorGravitational singularityGeneral MedicineInvariant (mathematics)Mathematicsdescription
Abstract The main goal of this paper is to study robust invariant transitive sets containing singularities for C 1 flows on three-dimensional compact boundaryless manifolds: they are partially hyperbolic with volume expanding central direction. Moreover, they are either attractors or repellers. Robust here means that this property cannot be destroyed by small C 1 -perturbations of the flow.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-01-01 | Comptes Rendus de l'Académie des Sciences - Series I - Mathematics |