Renormalization group and field theoretic techniques for the analysis of the Lindstedt series

DOI10.1070/RD2001V006N04ABEH000185zbMath1006.37035OpenAlexW2575801842MaRDI QIDQ1860528

Alberto Berretti, Guido Gentile

Publication date: 24 February 2003

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rd2001v006n04abeh000185

zbMATH Keywords

renormalization groupKAM theorystandard mapcelestial mechanicsLindstedt seriesperturbatively quasiperiodic motions

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15)

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