Resonant normal form for even periodic FPU chains
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Publication:843192
DOI10.4171/JEMS/174zbMath1181.37081arXiv0709.2624OpenAlexW2963747814MaRDI QIDQ843192
Thomas Kappeler, Andreas Henrici
Publication date: 29 September 2009
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.2624
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Related Items (7)
Wave turbulence and thermalization in one-dimensional chains ⋮ Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU ⋮ Results on normal forms for FPU chains ⋮ Breather solutions for inhomogeneous FPU models using Birkhoff normal forms ⋮ Near-integrability of periodic Klein-Gordon lattices ⋮ On critical behaviour in systems of Hamiltonian partial differential equations ⋮ Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions
Cites Work
- Proof of Nishida's conjecture on anharmonic lattices
- Results on normal forms for FPU chains
- On metastability in FPU
- Theory of nonlinear lattices.
- Direction-reversing traveling waves in the even Fermi-Pasta-Ulam lattice
- Integrability of hamiltonian systems on cantor sets
- The Fermi–Pasta–Ulam problem: Fifty years of progress
- Korteweg–de Vries equation and energy sharing in Fermi–Pasta–Ulam
- Symmetry and resonance in periodic FPU chains
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