6 citations · 8 across the 4 of their papers we have counts for
4 papers
Degenerate fixed points of maps in Banach spaces and lattices with decay and their invariant manifolds
Inmaculada Baldomá, Pau Martín, Donato Scarcella
Degenerate fixed points of maps appear in many interesting problems in Celestial Mechanics, Economics and Chemistry. Lattice systems, that is, dynamical systems consisting in an in…
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…
Whiskered parabolic tori in the planar -body problem
Inmaculada Baldoma, Ernest Fontich, Pau Martin
The planar -body problem models the motion of bodies in the plane under their mutual Newtonian gravitational attraction forces. When , the question about final…
Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results
Inmaculada Baldoma, Ernest Fontich, Marcel Guardia +1
We study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation fast and periodic in…