On the Theory of Quasiperiodic Motions

Next article On the Theory of Quasiperiodic MotionsJ. MoserJ. Moserhttps://doi.org/10.1137/1008035PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. I. Arnol'd, Small denominators. I. Mapping the circle onto itself, Izv. Akad. Nauk SSSR Ser. Mat., 25 (1961), 21–86 MR0140699 Google Scholar[2] V. I. Arnol'd, Small denominators and problems of stability of motion in classical and celestial mechanics, Uspehi Mat. Nauk, 18 (1963), 91–192 MR0170705 Google Scholar[3] V. I. Arnol'd, Proof of a theorem of A. N. Kolmogorov on the preservation of conditionally periodic motions under a small perturbation of the Hamiltonian, Uspehi Mat. Nauk, 18 (1963), 13–40 MR0163025 Google Scholar[4] N. Bogolioùboff, Sur quelques propriétés arithmétiques des presque-périodes, Ann. Chaire Phys. Math. Kiev, 4 (1939), 185–205 MR0020164 0022.33201 Google Scholar[5] N. N. Bogolyubov, On Some Statistical Methods in Mathematical Physics, Izdat. Akad. Nauk Ukrain. 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Nauk SSSR, 165 (1965), 1245–1248 MR0201753 0143.11801 Google Scholar Next article FiguresRelatedReferencesCited ByDetails Sensitivity analysis for periodic orbits and quasiperiodic invariant tori using the adjoint methodJournal of Computational Dynamics, Vol. 9, No. 3 | 1 Jan 2022 Cross Ref Spatially Quasi-Periodic Water Waves of Infinite DepthJournal of Nonlinear Science, Vol. 31, No. 3 | 20 April 2021 Cross Ref Invariant Sets in Quasiperiodically Forced Dynamical SystemsYoshihiko Susuki and Igor MezićSIAM Journal on Applied Dynamical Systems, Vol. 19, No. 1 | 30 January 2020AbstractPDF (2922 KB)Quasiperiodic behavior in the electrodeposition of Cu/Sn multilayers: extraction of activation energies and wavelet analysisPhysical Chemistry Chemical Physics, Vol. 21, No. 37 | 1 January 2019 Cross Ref Refined betatron tune measurements by mixing beam position dataPhysical Review Accelerators and Beams, Vol. 22, No. 7 | 8 July 2019 Cross Ref A-posteriori KAM theory with optimal estimates for partially integrable systemsJournal of Differential Equations, Vol. 266, No. 2-3 | 1 Jan 2019 Cross Ref Rigorous Computer-Assisted Application of KAM Theory: A Modern ApproachFoundations of Computational Mathematics, Vol. 17, No. 5 | 17 November 2016 Cross Ref Whitney smooth families of invariant tori within the reversible context 2 of KAM theoryRegular and Chaotic Dynamics, Vol. 21, No. 6 | 18 December 2016 Cross Ref Computing the Conjugacy of Invariant Tori for Volume-Preserving MapsAdam M. 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