Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory

DOI10.1137/15M1048598zbMath1404.70057arXiv1503.03311MaRDI QIDQ2967916

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Publication date: 9 March 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03311

zbMATH Keywords

countertermsKAM theoryequilibriaresonant frequenciesLindstedt seriesquasi-periodic Frenkel-Kontorova modelsquasi-crystals

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) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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