Stability of discrete breathers in nonlinear Klein-Gordon type lattices with pure anharmonic couplings

DOI10.1063/1.4746690zbMath1278.82059OpenAlexW1975143033MaRDI QIDQ2872288

Kazuyuki Yoshimura

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4746690

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Statistical mechanics of crystals (82D25) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Soliton solutions (35C08)

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Cites Work

• Unnamed Item
• Unnamed Item
• Moving discrete breathers in nonlinear lattice: resonance and stability
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Centre manifold reduction for quasilinear discrete systems
• Demonstration of the stability or instability of multibreathers at low coupling
• Mobility and reactivity of discrete breathers
• Continuation of periodic orbits in conservative and Hamiltonian systems
• Breathers on diatomic Fermi-Pasta-Ulam lattices
• Mobile localization in nonlinear Schrödinger lattices
• Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
• Stability of discrete solitons in nonlinear Schrödinger lattices
• Existence and stability of discrete breathers in diatomic Fermi–Pasta–Ulam type lattices
• On the stability of multibreathers in Klein–Gordon chains
• Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators
• Breathers on a diatomic FPU chain
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Effect of the introduction of impurities on the stability properties of multibreathers at low coupling
• Variational proof for hard discrete breathers in some classes of Hamiltonian dynamical systems.