A STABILITY CRITERION FOR MULTIBREATHERS IN KLEIN–GORDON CHAINS

DOI10.1142/S0218127406015714zbMath1117.70022MaRDI QIDQ5292333

Vassilis Koukouloyannis, Simos Ichtiaroglou

Publication date: 20 June 2007

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

linear stabilitycharacteristic exponent

Mathematics Subject Classification ID

Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

MULTIBREATHER AND VORTEX BREATHER STABILITY IN KLEIN–GORDON LATTICES: EQUIVALENCE BETWEEN TWO DIFFERENT APPROACHES

Cites Work

• Breathers in nonlinear lattices: existence, linear stability and quantization
• Demonstration of the stability or instability of multibreathers at low coupling
• Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices
• Stability of discrete breathers
• 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
• Dynamics of relative phases: generalised multibreathers

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