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  1. No Access

    Article

    Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics

    We show that a Kupka–Smale riemannian metric on a closed surface contains a finite primary set of closed geodesics, i.e. they intersect any other geodesic and divide the surface into simply connected regions. ...

    Gonzalo Contreras, Fernando Oliveira in Journal of Dynamics and Differential Equations (2024)

  2. No Access

    Article

    Most Invariant Manifolds of Conservative Systems have Transitive Closure

    The main result of this work in the following: for generic volume preserving flows on compact manifolds with the \(C^r\) ...

    Fábio Castro, Fernando Oliveira in Differential Equations and Dynamical Systems (2024)

  3. No Access

    Article

    Extending Circle Map**s to the Annulus

    We show that any monotone degree one C ∞ map** of the circle can be realized as the induced map** on the boundary by a C ∞ area preserving diffeomorphism of the open annulus. The circle map** may have criti...

    Fernando Oliveira in Journal of Dynamics and Differential Equations (2002)