Demonstration of the stability or instability of multibreathers at low coupling

DOI10.1016/S0167-2789(03)00064-2zbMath1028.35127arXivnlin/0208014OpenAlexW1970639164MaRDI QIDQ1566255

B. Sánchez-Rey, A. Alvarez, Jesús Cuevas, Juan F. R. Archilla

Publication date: 1 June 2003

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

Full work available at URL: https://arxiv.org/abs/nlin/0208014

zbMATH Keywords

Aubry band theorydegenerate perturbation theoryKlein-Gordon systemsmultibreather stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Additive difference equations (39A10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (15)

Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach ⋮ MULTIBREATHER AND VORTEX BREATHER STABILITY IN KLEIN–GORDON LATTICES: EQUIVALENCE BETWEEN TWO DIFFERENT APPROACHES ⋮ A STABILITY CRITERION FOR MULTIBREATHERS IN KLEIN–GORDON CHAINS ⋮ Existence of discrete solitons in discrete nonlinear Schrödinger equations with non-weak couplings ⋮ Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators ⋮ Stability of Discrete Breathers in Magnetic Metamaterials ⋮ Multibreather stability in discrete Klein-Gordon equations: beyond nearest neighbor interactions ⋮ Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors ⋮ Existence and Stability of Odd and Even Parity Discrete Breathers in Fermi--Pasta--Ulam Lattices ⋮ Non-existence of phase-shift breathers in one-dimensional Klein-Gordon lattices with nearest-neighbor interactions ⋮ Existence of dark solitons in discrete nonlinear Schrödinger equations with non-weak couplings ⋮ Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems ⋮ Existence of odd, even, and multi-pulse discrete breathers in infinite Fermi-Pasta-Ulam lattices ⋮ Nonlinear Instabilities of Multi-Site Breathers in Klein-Gordon Lattices ⋮ Stability of discrete breathers in nonlinear Klein-Gordon type lattices with pure anharmonic couplings

Cites Work

• Unnamed Item
• Unnamed Item
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Stability of discrete breathers
• Intraband discrete breathers in disordered nonlinear systems. I: Delocalization
• Modulational instability: first step towards energy localization in nonlinear lattices
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Standing wave instabilities in a chain of nonlinear coupled oscillators

This page was built for publication: Demonstration of the stability or instability of multibreathers at low coupling