Existence and stability of breathers in lattices of weakly coupled two-dimensional near-integra\-ble Hamiltonian oscillators

DOI10.1016/j.physd.2004.11.011zbMath1088.37043OpenAlexW2124163426MaRDI QIDQ1776977

Vassilis Koukouloyannis, Simos Ichtiaroglou

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.physd.2004.11.011

zbMATH Keywords

discrete breatherscontrolling the couplingcontrolling the nonintegrabilitytwo-dimensional breathers

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60)

Related Items

Chaotic breathers of two types in a two-dimensional Morse lattice with an on-site harmonic potential ⋮ Discrete breathers in two-dimensional nonlinear lattices ⋮ Existence and uniqueness of positive solitons for a second-order difference equation

Cites Work

• Breathers in nonlinear lattices: existence, linear stability and quantization
• Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
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