Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice

DOI10.1016/S0167-2789(02)00694-2zbMath1008.37044arXivnlin/0209054MaRDI QIDQ1850733

Bob Rink

Publication date: 18 December 2002

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

Full work available at URL: https://arxiv.org/abs/nlin/0209054

zbMATH Keywords

periodic boundary conditionsHamiltonian mechanicsdiscrete symmetriesshort wavelength solutions

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

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• Nonlinear coupled oscillators: Modal equation approach
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The Galerkin-averaging method for nonlinear, undamped continuous systems
• Symmetry and resonance in periodic FPU chains
• Standing wave instabilities in a chain of nonlinear coupled oscillators