3 papers
math.DS2026
A method of reduction for invariant curves of quasiperiodically forced maps
Amadeu Delshams, Rafael Ortega
The existence of translated curves for quasiperiodically forced maps is established, under very mild regularity hypotheses, for rotation numbers of constant type. Among the transla…
math.DS2025
Semi-analytic construction of global transfers between quasi-periodic orbits in the spatial R3BP
Amadeu Delshams, Marian Gidea, Pablo Roldan
Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point…
math.DS2024
Generic global diffusion for analytic uncoupled a priori unstable systems
Amadeu Delshams, Ke Zhang
We show that given a general uncoupled a priori unstable Hamiltonian \[ \frac12 p^2 + V(q) + G(I) + εh(p, q, I, Ï, t), \] where is a generic Mañé analytic function and …