Direction-reversing traveling waves in the even Fermi-Pasta-Ulam lattice

DOI10.1007/s00332-002-0497-xzbMath1012.37051arXivnlin/0110015OpenAlexW1537733602MaRDI QIDQ1871607

Bob Rink

Publication date: 4 May 2003

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0110015

zbMATH Keywords

Birkhoff normal formKAM theorytraveling wavesapproximation theorysingular reductionHamiltonian Hopf bifurcationFermi-Pasta-Ulam lattice

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Lattice dynamics; integrable lattice equations (37K60)

Related Items

On the Propagation of Binary Signals in a Two-Dimensional Nonlinear Lattice with Nearest-Neighbor Interactions, Resonant normal form for even periodic FPU chains, COMPUTATIONAL STUDY OF THE TRANSMISSION OF ENERGY IN A TWO-DIMENSIONAL LATTICE WITH NEAREST-NEIGHBOR INTERACTIONS, Wave turbulence and thermalization in one-dimensional chains, THE QUASI-PERIODIC REVERSIBLE HOPF BIFURCATION, Results on normal forms for FPU chains, The Fermi–Pasta–Ulam problem: Fifty years of progress, Nonlinear lattice dynamics of Bose–Einstein condensates, An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium, A computational technique with multiple properties of consistency in the study of modified \(\beta \)-Fermi-Pasta-Ulam chains, ON THE GENERATION OF LOCALIZED NONLINEAR MODES IN A LINEAR ARRAY OF ANHARMONIC OSCILLATORS, Near-integrability of periodic Klein-Gordon lattices