31 citations · 117 across the 31 of their papers we have counts for
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math.DS2010
Topological stability for conservative systems
Mario Bessa, Jorge Rocha
We prove that the C1-interior of the set of all topologically stable C1-incompressible flows is contained in the set of Anosov incompressible flows. Moreover, we obtain an analogou…
math.DS2010
Dense area-preserving homeomorphisms have zero Lyapunov exponents
Mario Bessa, Cesar Silva
We give a new definition for a Lyapunov exponent (called new Lyapunov exponent) associated to a continuous map. Our first result states that these new exponents coincide with the u…
math.DS2010
On the entropy of conservative flows
Mario Bessa, Paulo Varandas
We obtain a -generic subset of the incompressible flows in a closed three-dimensional manifold where Pesin's entropy formula holds thus establishing the continuous-time versio…