31 citations · 117 across the 31 of their papers we have counts for
39 papers
Genericity of trivial Lyapunov spectrum for Lp-cocycles derived from second order linear homogeneous differential equations
Dinis Amaro, Mario Bessa, Helder Vilarinho
Given an ergodic flow defined on a probability space we study a family of continuous-time kinetic linear cocycles associated to the solutions of the…
Billiards in generic convex bodies have positive topological entropy
Mário Bessa, Gianluigi Del Magno, João Lopes Dias +2
We show that there exists a open dense set of convex bodies with smooth boundary whose billiard map exhibits a non-trivial hyperbolic basic set. As a consequence billiards in…
The role of the saddle-foci on the structure of a Bykov attracting set
Mario Bessa, Maria Carvalho, Alexandre A. P. Rodrigues
We consider a one-parameter family of symmetric vector fields on the three-dimensional sphere whose flows exhibit a h…
Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases
Mario Bessa, Jairo Bochi, Michel Cambrainha +3
A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact c…
On shadowing and hyperbolicity for geodesic flows on surfaces
Mario Bessa, Maria Joana Torres, Joao Lopes Dias
We prove that the geodesic flow on closed surfaces displays a hyperbolic set if the shadowing property holds C2-robustly on the metric. Similar results are obtained when considerin…
A note on reversibility and Pell equations
Mario Bessa, Maria Carvalho, Alexandre Rodrigues
We consider hyperbolic toral automorphisms which are reversible with respect to a linear area-preserving involution. We will prove that within this context reversibility is linked…