Data di Pubblicazione:
2008
Citazione:
Resonance, metastability and blow up in FPU / D. Bambusi, A. Ponno - In: The Fermi-Pasta-Ulam problem / [a cura di] G. Gallavotti. - Berlin : Springer, 2008. - ISBN 978-3-540-72994-5. - pp. 191-205
Abstract:
We consider the FPU model with nonlinearity starting with terms of order n ≥ 3. We compute the resonant normal form in the region where only one low-frequency mode is excited and deduce rigorous results on the correspondence between the dynamics of the normal form and that of the complete system. As n varies, we give a criterion in order to deduce whether the FPU phenomenon (formation of a metastable packet of modes) is present or not. The criterion is that, if the normal form equation has smooth solutions then the FPU phenomenon is present, while it is absent if the solutions of the normal form equations have blow up in a finite time. In particular the phenomenon should be present for n ≤ 5 and absent for n ≥ 7.
Tipologia IRIS:
03 - Contributo in volume
Elenco autori:
D. Bambusi, A. Ponno
Link alla scheda completa:
Titolo del libro:
The Fermi-Pasta-Ulam problem