Abstract
We construct a renormalization operator acting on the space of analytic Hamiltonians defined on T*T-d, d >= 2, based on the multidimensional continued fractions algorithm developed by the authors. We show convergence of orbits of the operator around integrable Hamiltonians satisfying a non-degeneracy condition. This in turn yields a new proof of a KAM-type theorem on the stability of diophantine invariant tori.
Translated title of the contribution | Renormalization of mulitdimensional Hamiltonian flows |
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Original language | English |
Pages (from-to) | 2727 - 2753 |
Number of pages | 27 |
Journal | Nonlinearity |
Volume | 19 (12) |
DOIs | |
Publication status | Published - Dec 2006 |
Bibliographical note
Publisher: IOP Publishing LtdOther identifier: IDS number 112LX