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math.DS2010
A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems
Amadeu Delshams, Gemma Huguet
In this paper we consider a representative a priori unstable Hamiltonian system with 2+1/2 degrees of freedom, to which we apply the geometric mechanism for diffusion introduced in…
math.DS2010
Computation of whiskered invariant tori and their associated manifolds: new fast algorithms
Gemma Huguet, Rafael de la Llave, Yannick Sire
In this paper we present efficient algorithms for the computation of several invariant objects for Hamiltonian dynamics. More precisely, we consider KAM tori (i.e diffeomorphic cop…