A RENORMALIZATION PROOF OF THE KAM THEOREM FOR NON-ANALYTIC PERTURBATIONS
From MaRDI portal
Publication:5386917
DOI10.1142/S0129055X07003085zbMath1148.37033arXivmath-ph/0611035OpenAlexW2029292287MaRDI QIDQ5386917
Publication date: 14 May 2008
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0611035
Renormalization group methods in equilibrium statistical mechanics (82B28) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
Related Items
Dual Lindstedt series and Kolmogorov–Arnol’d–Moser theorem ⋮ The KAM theorem and renormalization group ⋮ An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum ⋮ Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
Cites Work
- KAM theorem and quantum field theory
- Twistless KAM tori
- Renormalization in classical mechanics and many body quantum field theory
- Compensations in small divisor problems
- Convergent series expansions for quasi-periodic motions
- Integrability of hamiltonian systems on cantor sets
- TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW
- METHODS FOR THE ANALYSIS OF THE LINDSTEDT SERIES FOR KAM TORI AND RENORMALIZABILITY IN CLASSICAL MECHANICS: A review with Some Applications
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
- Renormalization group in statistical mechanics and mechanics: gauge symmetries and vanishing beta functions
