Rafael de la Llave

collaborators

3 papers

math.DS2025

Geometric, topological and dynamical properties of conformally symplectic systems, normally hyperbolic invariant manifolds, and scattering maps

Marian Gidea, Rafael de la Llave, Tere M-Seara

Conformally symplectic diffeomorphisms $f : M \to M$ transform a symplectic form $I ¨ $ on a manifold M into a multiple of itself, $f^{*} I ¨ = I^\cdot I ¨ $ . We assume $I ¨ $ is bounded, as…

math.DS2025

Persistence of hyperbolic solutions of ODE's under functional perturbations: Applications to the motion of relativistic charged particles

Joan Gimeno, Rafael de la Llave, Jiaqi Yang

We rigorously construct a variety of orbits for certain delay differential equations, including the electrodynamic equations formulated by Wheeler and Feynman in 1949. These equati…

math.DS2024

KAM Theory for almost-periodic equilibria in one dimensional almost-periodic media

Yujia An, Rafael de la Llave, Xifeng Su +2

We consider one dimensional chains of interacting particles subjected to one dimensional almost-periodic media. We formulate and prove two KAM type theorems corresponding to both s…