3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points
Inmaculada Baldomá, Ernest Fontich, Pau Martín
We study the Gevrey character of a natural parameterization of one dimensional invariant manifolds associated to a parabolic direction of fixed points of analytic maps, that is, a…
Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions
Inmaculada Baldomá, Ernest Fontich, Pau Martín
We study the computation of local approximations of invariant manifolds of parabolic fixed points and parabolic periodic orbits of periodic vector fields. If the dimension of these…
Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters
Inmaculada Baldomá, Ernest Fontich, Pau Martín
In this paper we study the existence and regularity of stable manifolds associated to fixed points of parabolic type in the differentiable and analytic cases, using the parametriza…
Construction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions
Ernest Fontich, Rafael de la Llave, Yannick Sire
We present theorems which provide the existence of invariant whiskered tori in finite-dimensional exact symplectic maps and flows. The method is based on the study of a functional…