Publication: Results on normal forms for FPU chains
Results on normal forms for FPU chains
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Henrici, A., & Kappeler, T. (2008). Results on normal forms for FPU chains. Communications in Mathematical Physics, 278(1), 145–177. https://doi.org/10.1007/s00220-007-0387-z
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In this paper we prove, among other results, that near the equilibirum position, any periodic FPU chain with an odd number N of particles admits a Birkhoff normal form up to order 4, whereas any periodic FPU chain with N even admits a resonant normal form up to order 4. This resonant normal form of order 4 turns out to be completely integrable. Further, for N odd, we obtain an explicit formula of the Hessian of its Hamiltonian at the fixed point.
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- Henrici, A
- Kappeler, T
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Henrici, A., & Kappeler, T. (2008). Results on normal forms for FPU chains. Communications in Mathematical Physics, 278(1), 145–177. https://doi.org/10.1007/s00220-007-0387-z
