From the 2 of 5 linked papers with an AI index.
5 papers
Non-autonomous KAM theory for lower dimensional invariant tori (II): Normally parabolic case
Donato Scarcella, Frank Trujillo
The paper establishes KAM-type results for Hamiltonian systems with lower-dimensional normally parabolic invariant tori under time‑dependent perturbations that decay polynomially,…
Non-autonomous KAM theory for lower dimensional invariant tori (I): Normally elliptic and hyperbolic cases
Donato Scarcella, Frank Trujillo
The paper proves the existence of invariant manifolds for Hamiltonian systems with lower‑dimensional normally elliptic or hyperbolic invariant tori under time‑decaying non‑autonomo…
Degenerate fixed points of maps in Banach spaces and lattices with decay and their invariant manifolds
Inmaculada Baldomá, Pau MartÃn, 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…
Chaotic phenomena in generic unfoldings of the Hamilton Hopf bifurcation with emphasis on the restricted planar circular 3-body problem beyond the Gascheau-Routh mass ratio
Inmaculada Baldomá, Pau MartÃn, Donato Scarcella
In this work, we prove that a generic unfolding of an analytic Hamiltonian Hopf singularity (in an open set with codimension 1 boundary) possesses transverse homoclinic orbits for…
Weakly asymptotically quasiperiodic solutions for time-dependent Hamiltonians with a view to celestial mechanics
Donato Scarcella
We consider the planar three-body problem perturbed by a celestial body modeled as a time-dependent perturbation that decays in time. We assume that the motion of the celestial bod…