Dual Lindstedt series and Kolmogorov–Arnol’d–Moser theorem

DOI10.1063/1.3250190zbMath1236.37034arXiv0905.4886OpenAlexW3101705165MaRDI QIDQ3583629

Marco Frasca

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0905.4886

zbMATH Keywords

chaosperturbation theoryharmonic oscillatorsnumerical analysisdual KAM theoremdual Lindstedt series

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Multiple scale methods for ordinary differential equations (34E13)

Cites Work

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• KAM theorem and quantum field theory
• Twistless KAM tori
• A modern review of the two-level approximation
• Convergent series expansions for quasi-periodic motions
• Stochastic ion heating by a lower hybrid wave: II
• STRONG COUPLING EXPANSION FOR GENERAL RELATIVITY
• INFRARED ANALYSIS OF QUANTUM FIELD THEORIES
• Stochastic ion heating by a lower hybrid wave
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• A RENORMALIZATION PROOF OF THE KAM THEOREM FOR NON-ANALYTIC PERTURBATIONS

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