1 citations · 1 across the 3 of their papers we have counts for
3 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…
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…