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math.DS2022★ 1 cited
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…
math.DS2022
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…
math.DS2022★ 2 cited
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…