2 citations · 7 across the 6 of their papers we have counts for
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Estimates of the Derivative of the Entropy of Gaussian Thermostats
Alexander Arbieto, Adilson Lopes
We consider a variation of an Anosov geodesic flow by Gaussian Thermostats and we obtain estimates of the derivative of the entropy map at the geodesic flow. In particular, we prov…
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…
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…
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…
Lyapunov stability and sectional-hyperbolicity for higher-dimensional flows
A. Arbieto, C. A. Morales, B. Santiago
We study -generic vector fields on closed manifolds without points accumulated by periodic orbits of different indices and prove that they exhibit finitely many sinks and sect…
A dichotomy for higher dimensional flows
A. Arbieto, C. A. Morales
We analyze the dichotomy between {\em sectional-Axiom A flows} (c.f. \cite{memo}) and flows with points accumulated by periodic orbits of different indices. Indeed, this is proved…