Resonant equilibrium configurations in quasi-periodic media: perturbative expansions
From MaRDI portal
Publication:285557
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
countertermsquasicrystalsequilibriaresonant frequenciesLindstedt seriesquasi-periodic Frenkel-Kontorova models
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)
Related Items
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps, Resonant equilibrium configurations in quasi-periodic media: perturbative expansions, A numerical investigation of the pinning phenomenon in quasi-periodic Frenkel Kontorova model under an external force, A continuous family of equilibria in ferromagnetic media are ground states, Simultaneous conjugation of commuting foliation preserving torus maps, Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Resonant equilibrium configurations in quasi-periodic media: perturbative expansions
- Kotani theory for one dimensional stochastic Jacobi matrices
- Minimal configurations for the Frenkel-Kontorova model on a quasicrystal
- KAM theory for equilibrium states in 1-D statistical mechanics models
- Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models
- Reduction of symplectic manifolds with symmetry
- Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman
- Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall
- The analyticity breakdown for Frenkel-Kontorova models in quasi-periodic media: numerical explorations
- Barriers to transport and mixing in volume-preserving maps with nonzero flux
- Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
- Convergent series expansions for quasi-periodic motions
- Translation numbers for a class of maps on the dynamical systems arising from quasicrystals in the real line
- Correctors for the homogenization of Hamilton-Jacobi equations in the stationary ergodic setting
- Invariant circles and depinning transition
- KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media
- Twist Mappings with Non-Periodic Angles
- KAM theory for quasi-periodic equilibria in 1D quasi-periodic media: II. Long-range interactions
- Geometric Mechanics
