PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

1963/10/31 by V I Arnol'd, Vladimir I. Arnold · 12 citations
Engineering · #Aerospace Engineering and Control Systems #Elasticity and Wave Propagation #Geotechnical and Geomechanical Engineering

paper · doi:10.1070/rm1963v018n05abeh004130

crossref issued 1963/10/31 · crossref published 1963/10/31 · crossref published-print 1963/10/31 · openalex publication_date 1963/10/31 · crossref created 2005/11/07 · crossref published-online 2007/10/16 · crossref deposited 2024/10/03 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31

Abstract

CONTENTS § 1. Introduction § 2. Formulation of the theorems § 3. Proofs § 4. Technical lemmas § 5. Appendix. The rotatory motion of a heavy asymmetric rigid body References

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