4 citations · 7 across the 3 of their papers we have counts for
4 papers
Remarks on periodic points, flux, and the mean index in symplectic dynamics
Marcelo S. Atallah, Marta Batoréo, Brayan Ferreira
It is shown that a symplectic isotopy with non-degenerate end-point on a closed symplectically Calabi--Yau manifold has simple periodic points of arbitrarily large period under a s…
The number of periodic points of surface symplectic diffeomorphisms
Marcelo S. Atallah, Marta Batoréo, Brayan Ferreira
We use symplectic tools to establish a smooth variant of Franks theorem for a closed orientable surface of positive genus ; it implies that a symplectic diffeomorphism isotopic…
On Periodic Points of Symplectomorphisms on Surfaces
Marta Batoréo
We construct a symplectic flow on a surface of genus g greater than one with exactly 2g-2 hyperbolic fixed points and no other periodic orbits. Moreover, we prove that a (strongly…
On non-contractible hyperbolic periodic orbits and periodic points of symplectomorphisms
Marta Batoréo
We prove the existence of infinitely many periodic points of symplectomorphisms isotopic to the identity if they admit at least one (non-contractible) hyperbolic periodic orbit and…