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We study the original $\alpha$-Fermi-Pasta-Ulam (FPU) system with $N=16,32$ and $64$ masses connected by a nonlinear quadratic spring.
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Dyachenko, A. I., Lvov, Y. V., and Zakharov, V. E. (1995). Five-wave interaction on the surface of deep fluid. Physica D: Nonlinear Phenomena, 87(1), 233-261
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T. Cretegny, T. Dauxois, S. Ruffo, and A. Torcini, (1998). Localization and equipartition of energy in the β \beta -FPU chain: Chaotic breathers. Physica D: Nonlinear Phenomena, 121, 109
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Benettin, G., Christodoulidi, H., and Ponno, A. (2013). The Fermi-Pasta-Ulam Problem and Its Underlying Integrable Dynamics. Journal of Statistical Physics, 1-18
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