Perturbations of linear quasi-periodic system

DOI10.1007/978-3-540-47928-4_1zbMath1200.47046OpenAlexW63934412MaRDI QIDQ3053935

L. Hakan Eliasson

Publication date: 5 November 2010

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-47928-4_1

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Classical equilibrium statistical mechanics (general) (82B05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Discrete version of topics in analysis (39A12) Linear difference operators (47B39) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems ⋮ Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems ⋮ Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and Klein-Gordon equations on tori ⋮ Sub-exponential stability for the beam equation ⋮ KAM for the nonlinear beam equation ⋮ Multi-scale Jacobi method for Anderson localization ⋮ Long-time existence for semi-linear beam equations on irrational tori ⋮ Exponential mixing for a class of dissipative PDEs with bounded degenerate noise ⋮ Interacting fermions with quasi-random disorder

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