A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems

DOI10.1063/1.533101zbMath0966.37030arXivchao-dyn/9812004OpenAlexW1615850272MaRDI QIDQ4498509

Giovanni Gallavotti, Vieri Mastropietro, Guido Gentile

Publication date: 16 August 2000

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9812004

zbMATH Keywords

Lindstedt seriesbounded systemsFeynman graphsrenormalisation group

Mathematics Subject Classification ID

Feynman diagrams (81T18) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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