32 citations · 58 across the 7 of their papers we have counts for
10 papers
A Modified Parameterization Method for Invariant Lagrangian Tori for Partially Integrable Hamiltonian Systems
Jordi-Lluís Figueras, Alex Haro
In this paper we present an a-posteriori KAM theorem for the existence of an -parameters family of -dimensional isotropic invariant tori with Diophantine frequency vector…
Semi-analytical computation of heteroclinic connections between center manifolds with the parameterization method
Miquel Barcelona, Alex Haro, Josep-Maria Mondelo
This paper presents methodology for the computation of whole sets of heteroclinic connections between iso-energetic slices of center manifolds of center x center x saddle fixed poi…
Flow map parameterization methods for invariant tori in quasi-periodic Hamiltonian systems
Álvaro Fernández, Alex Haro, Josep-Maria Mondelo
The purpose of this paper is to present a method to compute parameterizations of invariant tori and bundles in non-autonomous quasi-periodic Hamiltonian systems. We generalize flow…
Flow map parameterization methods for invariant tori in Hamiltonian systems
Alex Haro, Josep-Maria Mondelo
The goal of this paper is to present a methodology for the computation of invariant tori in Hamiltonian systems combining flow map methods, parameterization methods, and symplectic…
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…