2 papers
math.DS2025
On the convergence of flow map parameterization methods for whiskered tori in quasi-periodic Hamiltonian systems
Ãlvaro 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…
math.DS2025
Simultaneous computation of whiskered tori and their whiskers in Hamiltonian systems using flow maps
Ãlvaro Fernández-Mora, Ãlex 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…