5 papers
Chaotic phenomena in generic unfoldings of the Hamilton Hopf bifurcation with emphasis on the restricted planar circular 3-body problem beyond the Gascheau-Routh mass ratio
Inmaculada Baldomá, Pau Martín, Donato Scarcella
In this work, we prove that a generic unfolding of an analytic Hamiltonian Hopf singularity (in an open set with codimension 1 boundary) possesses transverse homoclinic orbits for…
A rigorous derivation of the asymptotic wavenumber of spiral wave solutions of the complex Ginzburg-Landau equation
Maria Aguareles, Inmaculada Baldomá, Tere M. -Seara
In this work n-armed Archimedian spiral wave solutions of the complex Ginzburg-Landau equation are considered. These solutions are showed to depend on two characteristic parameters…
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…