This paper provides some historical comments on the study of the Fermi, Pasta, and Ulam (FPU) paper and its influence on the development of the theory of chaos. We also discuss some problems raised in the FPU paper and the links of these problems to such contemporary notions in chaos theory as ergodicity, mixing, recurrences, pseudochaos, kinetics, intermittency, etc.
REFERENCES
1.
E.
Fermi
, J.
Pasta
, and S.
Ulam
, Los Alamos Scientific Report No. LA-1940 (1955
).2.
E.
Fermi
, Phys. Rev.
75
, 1169
(1949
).3.
4.
S. M.
Ulam
, in Proceedings of the 4th Berkeley Sympusium on Mathematical Statistics and Probability
(Berkeley
, Los Angeles, 1961
), Vol. 3
, p. 315
.5.
A. A.
Vedenov
, E. P.
Velikhov
, and R. Z.
Sagdeev
, Nucl. Fusion
1
, 82
(1961
).6.
7.
8.
S. M.
Ulam
, Los Alamos, MS-2219 (1958
).9.
K. W.
Ford
, T-Division Report, Los Alamos (1959
).10.
A. J.
Lichtenberg
and M. A.
Liberman
, Regular and Stochastic Motion
(Springer
, Berlin, 1983
).11.
N. S.
Krylov
, Works on the Foundation of Statistical Physics
(Academy of Sciences
, Moscow-Leningrad, 1950
) (translation: Princeton University Press
, New York, 1979
).12.
J.
Ford
and J.
Waters
, J. Math. Phys.
4
, 1293
(1963
).13.
14.
15.
16.
G. M.
Zaslavsky
, Statistical Irreversibility in Nonlinear Systems
(Moscow, Nauka, 1970
) (translation: Culham Laboratory
, 1976
).17.
G. M.
Zaslavsky
, Phys. Rep.
371
, 461
(2002
).18.
D.
Campbell
, in Los Alamos Science
, Special issue dedicated to Stanislav Ulam (Los Alamos National Laboratory
, Los Alamos, 1987
), Vol. 15
, p. 218
.19.
Los Alamos Science
, Special Issue dedicated to Stanislav Ulam (Los Alamos National Laboratory
, Los Alamos, 1987
), Vol. 15
.20.
21.
R. Z.
Sagdeev
, D. A.
Usikov
, and G. M.
Zaslavsky
, Nonlinear Physics
(Harwood Academic
, New York, 1988
).22.
B. V.
Chirikov
, Phys. Rep.
52
, 263
(1979
).23.
B. I.
Meerson
, E. A.
Oks
, and P. V.
Sasorov
, JETP Lett.
29
, 72
(1979
).24.
J. E.
Bayfield
and D. W.
Sokol
, Phys. Rev. Lett.
61
, 2007
(1988
).25.
P. M.
Koch
and K. A. H.
Vanleeven
, Phys. Rep.
255
, 290
(1995
).26.
T. J.
Petrosky
, Phys. Lett. A
117
, 328
(1986
).27.
28.
M. Ya.
Natenzon
, A. I.
Neishtadt
, R. Z.
Sagdeev
, G. K.
Seryakov
, and G. M.
Zaslavsky
, Phys. Lett. A
145
, 255
(1990
).29.
30.
M.
Kac
, Probability and Related Topics in Physical Sciences
(Interscience
, New York, 1958
).31.
32.
33.
G. M.
Zaslavsky
and M. A.
Edelman
, Physica D
193
, 128
(2004
).34.
G.
Van Simaeys
, Ph.
Emplit
, and M.
Haelterman
, Phys. Rev. Lett.
87
, 033902
(2001
).35.
M. F.
Shlesinger
, G. M.
Zaslavsky
, and J.
Klafter
, Nature (London)
363
, 31
(1993
).36.
37.
38.
G. M.
Zaslavsky
, M. A.
Edelman
, and B.
Niyazov
, Chaos
7
, 159
(1997
).39.
G. M.
Zaslavsky
and M. A.
Edelman
, Chaos
11
, 295
(2001
).© 2005 American Institute of Physics.
2005
American Institute of Physics
You do not currently have access to this content.
