Energy properties of discrete breathers

DOI10.1016/S0167-2789(97)00267-4zbMath0960.82019MaRDI QIDQ1963796

Yanyan Li

Publication date: 8 February 2000

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

zbMATH Keywords

localizationlattice dynamics

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Existence and multiplicity results of homoclinic solutions for the DNLS equations with unbounded potentials ⋮ Damped and driven breathers and metastability ⋮ Traveling solitons in long-range oscillator chains ⋮ Nonlinear Instabilities of Multi-Site Breathers in Klein-Gordon Lattices ⋮ Ground State and Geometrically Distinct Solitons of Discrete Nonlinear Schrödinger Equations with Saturable Nonlinearities ⋮ Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses

Cites Work

• Tangent bifurcation of band edge plane waves, dynamical symmetry breaking and vibrational localization
• 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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