The Fermi-Pasta-Ulam Problem and Its Underlying Integrable Dynamics

Author:

Benettin G.,Christodoulidi H.,Ponno A.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference29 articles.

1. Fermi, E., Pasta, J., Ulam, S.: Studies of non linear problems. Los-Alamos Internal Report, Document LA-1940 (1955). In: Enrico Fermi Collected Papers, vol. II, pp. 977–988. University of Chicago Press/Accademia Nazionale dei Lincei, Chicago/Roma (1965) (also reproduced in Ref. [4])

2. Tuck, J.L., Menzell, M.T.: The superperiod of the nonlinear weighted string (FPU) problem. Adv. Math. 9, 399–407 (1972), computations go back to 1961 (see Ulam’s presentation of the FPU paper in [1])

3. Chaos focus issue: The “Fermi-Pasta-Ulam” problem—the first 50 years. Chaos 15 (2005)

4. Lect. Notes Phys.,2008

5. Fucito, E., Marchesoni, F., Marinari, E., Parisi, G., Peliti, L., Ruffo, S., Vulpiani, A.: Approach to equilibrium in a chain of nonlinear oscillators. J. Phys. (Paris) 43, 707–713 (1982)

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