4 papers
Non-twist tori in conformally symplectic systems
Renato Calleja, Marta Canadell, Alex Haro
Dissipative mechanical systems on the torus with a friction that is proportional to the velocity are modeled by conformally symplectic maps on the annulus, which are maps that tran…
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…
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…
Strange Nonchaotic Attractors in Harper Maps
Alex Haro, Joaquim Puig
We study the existence of Strange Nonchaotic Attractors (SNA) in the family of Harper maps, proving that they are typical but not robust in this family. Our approach is based on th…