Discrete breathers and Anderson modes: two faces of the same phenomenon?

DOI10.1016/S0167-2789(99)00131-1zbMath1076.37528OpenAlexW1975181505MaRDI QIDQ5949869

J. L. Marín, Robert S. MacKay, Juan F. R. Archilla

Publication date: 5 December 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00131-1

zbMATH Keywords

Anderson localizationDiscrete breathersIntrinsic localized modes

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

• Perturbation theory for periodic orbits in a class of infinite dimensional Hamiltonian systems
• Breathers in nonlinear lattices: existence, linear stability and quantization
• The discrete self-trapping equation
• Localization in disordered, nonlinear dynamical systems
• Finite size effects on instabilities of discrete breathers
• Stability of discrete breathers
• Intraband discrete breathers in disordered nonlinear systems. I: Delocalization
• Discrete breathers in disordered media
• Generic bifurcations for involutory area preserving maps
• Breathers on a diatomic FPU chain
• Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Generic Bifurcation of Periodic Points
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