Exploració per autor "Fontich i Julià, Ernest"
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Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma
Fontich i Julià, Ernest; Martín de la Torre, Pablo (2000)
Article
Accés obertWe consider differentiable maps having an invariant torus with normal behavior having a central part. We prove the existence and regularity of pseudostable manifolds and regularity with respect to parameters. Then we ... -
Hamiltonian systems with orbits covering densely submanifolds of small codimension
Fontich i Julià, Ernest; Martín de la Torre, Pablo (2000)
Article
Accés obertThe existence of a transition chain in a Hamiltonian system leads to the existence of orbits shadowing it, if some lambda lemma can be applied. This fact has been used to prove the existence of diffusion in perturbations ... -
The parameterization method for invariant manifolds I: manifolds associated to non-resonant subspaces
Cabré Vilagut, Xavier; Fontich i Julià, Ernest; Llave Canosa, Rafael de la (2002)
Article
Accés obertWe introduce a method to prove existence of invariant manifolds and, at the same time to find simple polynomial maps which are conjugated to the dynamics on them. As a first application, we consider the dynamical system ... -
The parameterization method for invariant manifolds II: regularity with respect to parameters
Cabré Vilagut, Xavier; Fontich i Julià, Ernest; Llave Canosa, Rafael de la (2002)
Article
Accés obertWe study the regularity with respect to parameters of the invariant manifolds associated to non-resonant subspaces obtained in the previous article [CFdlL00]. -
The parameterization method for invariant manifolds III: overview and applications
Cabré Vilagut, Xavier; Fontich i Julià, Ernest; Llave Canosa, Rafael de la (2003)
Article
Accés obertWe describe a method to establish existence and regularity of invariant manifolds and, at the same time to find simple maps which are conjugated to the dynamics on them. The method establishes several invariant manifold ...