Communications in Mathematical Physics

, Volume 278, Issue 1, pp 145–177 | Cite as

Results on Normal Forms for FPU Chains

  • Andreas Henrici
  • Thomas KappelerEmail author


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.


Normal Form Equilibrium Point Canonical Transformation Minimal Polynomial Real Zero 
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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institut für MathematikUniversität ZürichZürichSwitzerland

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