23 citations · 33 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
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…
Chaotic scattering of He atoms off a Cu surface with corrugated Morse potential
Florentino Borondo, Ernest Fontich, Pau Martín
We consider a Hamiltonian system that models the scattering of helium atoms off a copper surface. The interaction between the He and the Cu atoms is described by a corrugated Morse…
Invariant manifolds of degenerate tori and double parabolic orbits to infinity in the (n+2)-body problem
Immaculada Baldomá, Ernest Fontich, Pau Martín
There are many interesting dynamical systems in which degenerate invariant tori appear. We give conditions under which these degenerate tori have stable and unstable invariant mani…
Novel slow-fast behaviour in an oscillator driven by a frequency-switching force
Carles Bonet, Mike R. Jeffrey, Pau Martín +1
When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemin…
Hyperbolic dynamics and oscillatory motions in the 3 Body Problem
Marcel Guardia, Pau Martín, Jaime Paradela +1
Consider the planar 3 Body Problem with masses . In this paper we address two fundamental questions: the existence of oscillatory motions and of chaotic hyperbolic s…