01-426 Bambusi D, Gaeta, G.
On persistence of invariant tori and a theorem by Nekhoroshev (53K, LaTeX) Nov 19, 01
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We give a proof of a theorem by N.N. Nekhoroshev concerning Hamiltonian systems with \$n\$ degrees of freedom and \$s\$ integrals of motion in involution, where \$1 \le s \le n\$. Such a theorem ensures persistence of \$s\$-dimensional invariant tori under suitable nondegeneracy conditions generalizing Poincar\'e's condition on the Floquet multipliers. We also deal in detail with perturbations of systems having reducible tori: in this case persistence can be ensured by a nonresonance condition expressed in terms of linear combinations of determinants involving the frequencies of the motion on the torus and the frequencies of small oscillations about the torus

Files: 01-426.tex