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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…