The concept of anti-integrability applied to dynamical systems and to structural and electronic models in condensed matter physics

DOI10.1016/0167-2789(94)90190-2zbMath0807.58042OpenAlexW2016450992MaRDI QIDQ1339240

Serge Aubry

Publication date: 28 February 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90190-2

zbMATH Keywords

nonlinear oscillatorsdynamical systemscondensed matternonlinear oscillatorelectron-phonon couplinganti-integrable limitHolstein modelelectron- phonon coupling

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Atomic physics (81V45) Applications of dynamical systems (37N99)

Related Items

Dynamical properties of discrete breathers in curved chains with first and second neighbor interactions, Anti-integrability in dynamical and variational problems, Existence and stability of quasi-periodic breathers in networks of Ginzburg--Landau oscillators, The existence of standing wave for the discrete coupled nonlinear Schrödinger lattice, Breathers in one-dimensional nonlinear thermalized lattice with an energy gap, A generalized perturbed pendulum., Intrinisc localized modes: Discrete breathers. Existence and linear stability, Mobile bipolarons in the adiabatic Holstein-Hubbard model in one and two dimensions, KAM theorems and open problems for infinite-dimensional Hamiltonian with short range, Multi-peaked localized states of DNLS in one and two dimensions, Equilibrium thermodynamics and thermodynamic processes in nonlinear systems, Breathers in nonlinear lattices: existence, linear stability and quantization, Propagation of envelope bright breather coupled wave modes in Ablowitz-Ladik chains, Mobility and reactivity of discrete breathers

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