4 papers · 1 filter
Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem
Maciej J. Capiński, Marcel Guardia, Pau Martín +2
Consider the Restricted Planar Circular 3 Body Problem with both realistic mass ratio and Jacobi constant for the Sun-Jupiter pair. We prove the existence of all possible combinati…
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…