Resonant equilibrium configurations in quasi-periodic media: perturbative expansions

DOI10.1007/s10955-016-1464-5zbMath1382.70022arXiv1503.03304OpenAlexW2271981584MaRDI QIDQ285557

F. Blanchet-Sadri, M. Dambrine

Publication date: 19 May 2016

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

Full work available at URL: https://arxiv.org/abs/1503.03304

zbMATH Keywords

countertermsquasicrystalsequilibriaresonant frequenciesLindstedt seriesquasi-periodic Frenkel-Kontorova models

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) 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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