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math.DS2013★ 1 cited
Existence of attractors, homoclinic tangencies and singular hyperbolicity for flows
A. Arbieto, A. Rojas, B. Santiago
We prove that every generic three-dimensional flow has either infinitely many sinks, or, infinitely many hyperbolic or singular-hyperbolic attractors whose basins form a full…
math.DS2013★ 2 cited
On Araujo's Theorem for flows
Alexander Arbieto, Carlos Morales, Bruno Santiago
Araujo proved in his thesis \cite{A} that a generic surface diffeomorphism has either infinitely many sinks (i.e. attracting periodic orbits) or finitely many hyperbolic attr…