An averaging theorem for hamiltonian dynamical systems in the thermodynamic limit

Journal of Statistical Physics

Volumn 128, Issue 4, 2007, Pages 1057-1077

  Carati, A ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

Hamiltonian perturbation theory; Integral norms; Uniform estimate

Indexed keywords

EID: 36148946753     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-007-9332-y     Document Type: Article

References (13)

1. G. Benettin, L. Galgani and A. Giorgilli. Comm. Math. Phys. 121:557 (1989).
2. G. Benettin, L. Galgani and A. Giorgilli. Phys. Lett. A 120:23 (1987).
3. D. Bambusi and A. Giorgilli. J. Stat. Phys. 71:569 (1993).
4. D. Bambusi and A. Ponno. Chaos 15:015107 (2005);
5. D. Bambusi and A. Ponno. On metastability in FPU, Comm. Math. Phys. in print.
6. B. O. Koopman. Proc. Nat. Ac. Sc. 17:315 (1931).
7. J. von Neumann. Proc. Nat. Ac. Sc. 18:70 (1932);
8. B. O. Koopman and J. von Neumann. Proc. Nat. Ac. Sc. 18:255 (1932);
9. J. von Neumann. Proc. Nat. Ac. Sc. 18:263 (1932).
10. L. Galgani, A. Giorgilli, A. Martinoli and S. Vanzini. Physica D 59:334 (1992).
11. A. Giorgilli, Ann. Ist. H. Poincaré Phys. Théor. 48:423 (1988).
12. G. Benettin, L. Galgani and A. Giorgilli. N. Cim. 89 B:89 (1985).
13. A. Neishtadt. Sov. Phys. Dokl. 21:80 (1976).