Publication: Resonant normal form for even periodic FPU chains
Resonant normal form for even periodic FPU chains
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Henrici, A., & Kappeler, T. (2009). Resonant normal form for even periodic FPU chains. Journal of the European Mathematical Society, 11, 1025–1056. https://doi.org/10.4171/JEMS/174
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We investigate periodic FPU chains with an even number of particles. We show that near the equilibrium point, any such chain admits a resonant Birkhoff normal form of order four which is completely integrable—an important fact which helps explain the numerical experiments of Fermi, Pasta, and Ulam. We analyze the moment map of the integrable approximation of an even FPU chain. Unlike the case of odd FPU chains these integrable systems (generically) exhibit hyperbolic dynamics. As an application we prove that any FPU chain with Dirichl
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- Henrici, A
- Kappeler, T
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Henrici, A., & Kappeler, T. (2009). Resonant normal form for even periodic FPU chains. Journal of the European Mathematical Society, 11, 1025–1056. https://doi.org/10.4171/JEMS/174
