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• W2769653039 abstract "In this paper we present a-posteriori KAM results for existence of $d$-dimensional isotropic invariant tori for $n$-DOF Hamiltonian systems with additional $n-d$ independent first integrals in involution. We carry out a covariant formulation that does not require the use of action-angle variables nor symplectic reduction techniques. The main advantage is that we overcome the curse of dimensionality avoiding the practical shortcomings produced by the use of reduced coordinates, which may cause difficulties and underperformance when quantifying the hypotheses of the KAM theorem in such reduced coordinates. The results include ordinary and (generalized) iso-energetic KAM theorems. The approach is suitable to perform numerical computations and computer assisted proofs." @default.
• W2769653039 created "2017-12-04" @default.
• W2769653039 creator A5052725846 @default.
• W2769653039 creator A5033432509 @default.
• W2769653039 date "2017-11-15" @default.
• W2769653039 modified "2023-10-01" @default.
• W2769653039 title "A-posteriori KAM theory with optimal estimates for partially integrable systems" @default.
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• W2769653039 hasPublicationYear "2017" @default.
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