3 papers
math.DS2026
Universal Dynamics in a family of Celestial Mechanics models
Miguel Garrido, Pau Martín
Universal maps (maps whose renormalized iterations approximate every map in a given class) are locally generic in several spaces of diffeomorphisms [Bonatti--Díaz 2003, Turaev 2015…
math.DS2024
Parabolic saddles and Newhouse domains in Celestial Mechanics
Miguel Garrido, Pau Martín, Jaime Paradela
In the 70s McGehee introduced a compactification of the phase space of the restricted 3-body problem by gluing a manifold of periodic orbits "at infinity". Although from the dynami…
math.AP2021
Large deviations principle for the cubic NLS equation
Miguel Angel Garrido, Ricardo Grande, Kristin M. Kurianski +1
In this paper, we present a probabilistic study of rare phenomena of the cubic nonlinear Schrödinger equation on the torus in a weakly nonlinear setting. This equation has been use…