276 citations · 709 across the 11 of their papers we have counts for
4 papers · 1 filter
Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori
Alberto Enciso, Alejandro Luque, Daniel Peralta-Salas
We prove that there exist Beltrami fields in Euclidean space, with sharp decay at infinity, which have a prescribed set of invariant tori (possibly knotted or linked) that enclose…
Effective bounds for the measure of rotations
Jordi-Lluís Figueras, Alex Haro, Alejandro Luque
A fundamental question in Dynamical Systems is to identify regions of phase/parameter space satisfying a given property (stability, linearization, etc). Given a family of analytic…
Stationary phase methods and the splitting of separatrices
Alberto Enciso, Alejandro Luque, Daniel Peralta-Salas
Using stationary phase methods, we provide an explicit formula for the Melnikov function of the one and a half degrees of freedom system given by a Hamiltonian system subject to a…
A-posteriori KAM theory with optimal estimates for partially integrable systems
Alex Haro, Alejandro Luque
In this paper we present a-posteriori KAM results for existence of -dimensional isotropic invariant tori for -DOF Hamiltonian systems with additional independent first…