Compensations in small divisor problems

DOI10.1007/BF02101627zbMath0847.58026MaRDI QIDQ1912613

Luigi Chierchia, Corrado Falcolini

Publication date: 13 May 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quasi-periodic solutionsLagrangian systemsformal power seriessmall divisor problemsnearly-integrable non-degenerate Hamiltonian

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (7)

On the nonautonomous Hopf bifurcation problem ⋮ A RENORMALIZATION PROOF OF THE KAM THEOREM FOR NON-ANALYTIC PERTURBATIONS ⋮ Small denominators and exponential stability: From Poincaré to the present time ⋮ Persistence of Diophantine flows for quadratic nearly integrable Hamiltonians under slowly decaying aperiodic time dependence ⋮ The KAM theorem and renormalization group ⋮ The quasi-periodic centre-saddle bifurcation ⋮ Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method

Cites Work

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• A note on quasi-periodic solutions of some elliptic systems
• Iteration of analytic functions
• A stability theorem for minimal foliations on a torus
• Newton's method and periodic solutions of nonlinear wave equations
• TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW
• Majorant series convergence for twistless KAM tori
• A proof of existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems
• Tree expansion and multiscale analysis for KAM tori
• Whiskered tori with prefixed frequencies and Lyapunov spectrum

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