KAM theory for quasi-periodic equilibria in 1D quasi-periodic media: II. Long-range interactions

DOI10.1088/1751-8113/45/45/455203zbMath1339.70041arXiv1104.5274OpenAlexW1969987393MaRDI QIDQ4920336

Rafael de la Llave, Xifeng Su

Publication date: 17 May 2013

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

Full work available at URL: https://arxiv.org/abs/1104.5274

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (5)

Resonant equilibrium configurations in quasi-periodic media: perturbative expansions ⋮ A continuous family of equilibria in ferromagnetic media are ground states ⋮ Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory ⋮ Percival Lagrangian approach to the Aubry-Mather theory ⋮ Rotation numbers and bounded deviations for quasi-periodic monotone recurrence relations

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