19 citations · 20 across the 6 of their papers we have counts for
6 papers
Simultaneous computation of whiskered tori and their whiskers in Hamiltonian systems using flow maps
Álvaro Fernández-Mora, Àlex Haro, Rafael de la Llave +1
We consider autonomous Hamiltonian systems and present an algorithm to compute at the same time partially hyperbolic invariant tori (whiskered tori), as well as high-order expansio…
On the convergence of flow map parameterization methods for whiskered tori in quasi-periodic Hamiltonian systems
Álvaro Fernández-Mora, Alex Haro, Josep-Maria Mondelo
In this work, we obtain an a-posteriori theorem for the existence of partly hyperbolic invariant tori in analytic Hamiltonian systems: autonomous, periodic, and quasi-periodic. The…
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…
A numerical estimate of the regularity of a family of Strange Non--Chaotic Attractors
Lluís Alsedà, Josep Maria Mondelo, David Romero i Sànchez
We estimate numerically the regularities of a family of Strange Non--Chaotic Attractors related with one of the models studied in C. Grebogy et al. (1984) (see also G. Keller (1996…