Center of Mathematics and Applications of University of Beira Interior

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There are no proper topological hyperbolic homoclinic classes for area-preserving maps

Publication . Bessa, Mário; Torres, Maria Joana

We begin by defining a homoclinic class for homeomorphisms. Then we prove that if a topological homoclinic class Λ associated with an area-preserving homeomorphism f on a surface M is topologically hyperbolic (i.e. has the shadowing and expansiveness properties), then Λ = M and f is an Anosov homeomorphism.

2019Artigo científico

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Straighten out coordinates for volume-preserving actions

Publication . Bessa, Mário; Morais, Pedro

In this short note we obtain a canonical form for commuting divergence-free vector fields.

2019Artigo científico

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