2 papers
math.DS2025
Non-resonant Hopf Links Near a Hamiltonian Equilibrium Point
C. Grotta-Ragazzo, Lei Liu, Pedro A. S. Salomão
This paper is about the existence of periodic orbits near an equilibrium point of a two-degree-of-freedom Hamiltonian system. The equilibrium is supposed to be a nondegenerate mini…
math.DS2024
Birkhoff sums as distributions I: Regularity
Clodoaldo Grotta-Ragazzo, Daniel Smania
We study Birkhoff sums as distributions. We obtain regularity results on such distributions for various dynamical systems with hyperbolicity, as hyperbolic linear maps on the torus…