Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices

DOI10.1016/S0375-9601(00)00100-6zbMath0940.82018WikidataQ127309608 ScholiaQ127309608MaRDI QIDQ1569599

J. M. Bergamin, H. W. Capel, J. C. Ross, Michael Kollmann, Tassos C. Bountis

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

nonlinear oscillatorsdiscrete breathersmultibreathersdiscretized nonlinear Schrödinger equationmonoclinic orbitsone-Fourier-mode representation

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (18)

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Cites Work

• Breathers in nonlinear lattices: existence, linear stability and quantization
• The discrete self-trapping equation
• Recent progress and outstanding problems in Hamiltonian dynamics
• Anti-integrability in dynamical and variational problems
• A Mel'nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations
• Intrinisc localized modes: Discrete breathers. Existence and linear stability
• Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
• Nonlinear differential–difference equations and Fourier analysis
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

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