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Henrici, A; Kappeler, T (2008). Results on normal forms for FPU chains. Communications in Mathematical Physics, 278(1):145-177.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Language: | English |
| Date: | February 2008 |
| Deposited On: | 14 Jan 2009 14:04 |
| Last Modified: | 01 Sep 2024 01:40 |
| Publisher: | Springer |
| ISSN: | 0010-3616 |
| Additional Information: | The original publication is available at www.springerlink.com |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00220-007-0387-z |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2367202 |
Henrici, A