2 citations · 3 across the 7 of their papers we have counts for
8 papers
Non-autonomous KAM theory for lower dimensional invariant tori (II): Normally parabolic case
Donato Scarcella, Frank Trujillo
Dynamical systems subject to non-autonomous perturbations decaying in time arise naturally in many physical contexts, including laser-molecule interactions, epidemiological models,…
Non-autonomous KAM theory for lower dimensional invariant tori (I): Normally elliptic and hyperbolic cases
Donato Scarcella, Frank Trujillo
Many physical phenomena are naturally modeled by dynamical systems subject to non-autonomous perturbations that decay in time, including the interaction of a laser pulse with a mol…
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…
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 Martín, 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…
Asymptotic motions converging to arbitrary dynamics for time-dependent Hamiltonians
Donato Scarcella
In a previous work [Asymptotically quasiperiodic solutions for time-dependent Hamiltonians, arXiv preprint arXiv:2211.06623 (2022)], we consider time-dependent perturbations of a H…
Asymptotically quasiperiodic solutions for time-dependent Hamiltonians
Donato Scarcella
In 2015, M. Canadell and R. de la Llave consider a time-dependent perturbation of a vector field having an invariant torus supporting quasiperiodic solutions. Under a smallness ass…
Biasymptotically quasiperiodic solutions for time-dependent Hamiltonians
Donato Scarcella
In a previous work [Asymptotically quasiperiodic solutions for time-dependent Hamiltonians, arXiv preprint arXiv:2211.06623 (2022)], we consider time-dependent perturbations of a H…
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…