2 citations · 7 across the 6 of their papers we have counts for
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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…
math.DS2013★ 1 cited
On Various Types of Shadowing for Geometric Lorenz Flows
A. Arbieto, J. E. Reis, R. Ribeiro
We show that Lorenz flows have neither limit shadowing property nor average shadowing property nor the asymptotic average shadowing property where the reparametrizations related to…