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math.DS2016
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…
math.DS2016
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…