Intrinsic localized modes in a three particle Fermi-Pasta-Ulam lattice with on-site harmonic potential

DOI10.1016/j.matcom.2006.10.023zbMath1110.82301OpenAlexW2028361641MaRDI QIDQ875326

Bao-Feng Feng, Youn-Sha Chan

Publication date: 13 April 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.10.023

zbMATH Keywords

Jacobi elliptic functionintrinsic localized modesmovabilityFermi-Pasta-Ulam-\(\beta\) latticeintegrability of the Hamiltonian system

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Breathers in nonlinear lattices: existence, linear stability and quantization
• Non-integrability of the fourth-order truncated Toda Hamiltonian
• On the existence of moving breathers in one-dimensional anharmonic lattices
• Moving discrete breathers?
• Existence of breathers on FPU lattices
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• An algebraic approach to discrete breather construction
• Discrete breathers in Fermi–Pasta–Ulam lattices

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