Next: About this document ...
Up: Interactions of renormalized waves
Previous: Limiting behaviors of for
-
- 1
- Focus issue: The Fermi-Pasta-Ulam problem, the first 50 years, Chaos 15 (2005).
- 2
- M. Peyrard, Nonlinearity 17, R1 (2004), and references therein.
- 3
- M. Toda, Theory of Nonlinear Lattice (Springer-Verlag, New York, 1989).
- 4
- L. Landau and E. Lifshitz, Statistical Physics, Course of Theoretical Physics Vol. 5 (Pergamon, Oxford, 1981).
- 5
- V.E. Zakharov, V.S. Lvov, and G. Falkovich, Kolmogorov Spectra of Turbulence (Springer-Verlag, Berlin, 1992).
- 6
- C. Alabiso, M. Casartelli, P. Marenzoni, J. Stat. Phys. 79, 451 (1995).
- 7
- S. Lepri, Phys. Rev. E 58, 7165 (1998)
- 8
- U. Zülicke and A. H. MacDonald, Physica (Amsterdam) 6E, 104 (2000) and references therein.
- 9
- J. Biello, P. Kramer, Y. Lvov, Proc. of the fourth international conf. on dyn. sys. and diff. eqns., 113 (2001);
P. Kramer, J. Biello, Y. Lvov, ibid., 482 (2003).
- 10
- L. Landau and E. Lifshitz, Mechanics, Course of Theoretical Physics Vol. 1 (Pergamon, Oxford, 1976).
- 11
- A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics, 2nd ed. (Springer-Verlag, Berlin, 1992).
- 12
- B. Gershgorin, Y.V. Lvov, D. Cai, Phys. Rev. Lett. 95, 264302 (2005).
- 13
- E. Fermi, J. Pasta, and S. Ulam, Los Alamos Scientific Laboratory Report No. LA-1940 (reprinted
in Fermi E. Collected papers by University of Chicago Press,
Chicago, 1965, Vol II, p 978).
- 14
- J. Ford, Phys. Rep., 213, 271, (1992).
- 15
- C. Alabiso and M. Casartelli, J. Phys. A: Math. Gen. 34, 1223 (2001).
- 16
- S. Lepri, R. Livi, A. Politi, Chaos 15, 015118 (2005).
- 17
- A. Carati, L. Galgani, A. Giorgilli, Chaos 15, 015105 (2005).
- 18
- P. Poggy and S. Ruffo, Physica (Amsterdam) 103D, 251 (1997).
- 19
- H. Yoshida, Phys. Lett. A 150, 262 (1990).
- 20
- G. Parisi, Europhysics Lett. 40, 357 (1997).
- 21
- T. Cretegny et al., Physica (Amsterdam) 121D, 109 (1998).
- 22
- A. Newell, S. Nazarenko, and L. Biven, Physica (Amsterdam) 152D, 520 (2001)
- 23
- Y.V. Lvov and S. Nazarenko, Phys. Rev. E 69, 066608 (2004);
Y. Choi, Y.V. Lvov, S. Nazarenko, and B. Pokorni, Phys. Lett. A 339, 361 (2005).
- 24
- D. Cai et al., Physica (Amsterdam) 152D, 551 (2001).
- 25
- A.J. Majda, D.W. McLaughlin, and E.G. Tabak, J. Nonlinear Sci. 6, 9 (1997).
- 26
- B. Rink, Comm. Math. Phys. 218(3), 665 (2001).
- 27
- B. Rink, Physica (Amsterdam) 175D, 31 (2003).
- 28
- Y.V. Lvov, S. Nazarenko, B. Pokorni, Physica (Amsterdam) 218D, 24 (2006).
- 29
- C. Connaughton, S.V. Nazarenko, and A.N. Pushkarev, Phys. Rev. E. 63, 046306 (2001).
- 30
- A. Pushkarev, Eur. J. Mech. B/fluids 18(3), 345 (1999).
- 31
- J. Benney and A. Newell, Stud. in Appl. Math. 48, 29 (1969).
Dr Yuri V Lvov
2007-04-11