Localised modes on localised equilibria

DOI10.1016/S0167-2789(97)00275-3zbMath0960.82003OpenAlexW2061948302WikidataQ127634181 ScholiaQ127634181MaRDI QIDQ1963801

Yanyan Li

Publication date: 8 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00275-3

zbMATH Keywords

discrete breatherslocalised modesHamiltonian chainslocalised equilibria

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lattice dynamics; integrable lattice equations (37K60)

Related Items (10)

Stability of Mode-Locked Kinks in the AC Driven and Damped Sine-Gordon Lattice ⋮ Discrete breathers in aperiodic diatomic FPU lattices with long range order ⋮ Localised modes on localised equilibria ⋮ Intrinisc localized modes: Discrete breathers. Existence and linear stability ⋮ Being stable and discrete ⋮ 1D PHONON SCATTERING BY STABLE SPATIALLY INHOMOGENEOUS EQUILIBRIUM SOLUTION IN NONLINEAR DISCRETE KLEIN–GORDON MODEL: EXACT ANALYSIS ⋮ Moving breathers in a DNA model with competing short- and long-range dispersive interactions ⋮ Finite size effects on instabilities of discrete breathers ⋮ Nonlinear localized periodic solutions in a coupled map lattice ⋮ Stability of discrete breathers

Cites Work

• Breathers in nonlinear lattices: existence, linear stability and quantization
• Localised modes on localised equilibria
• Discrete and continuous boundary problems
• 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
• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
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