Geodesic
Modeling of the FPU recurrence with reversible stochastization within the framework of coupled stand art mappings
Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 124-128 Cet article a éte moissonné depuis la source Math-Net.Ru

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A model of coupled standard mappings has been proposed for description of the FPU recurrence with a reversible stochastization. Numerical study showed that the parameters of high frequency mapping defines the characteristics of the FPU recurrence described within the framework of low frequency mapping. 
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A. A. Berezin. Modeling of the FPU recurrence with reversible stochastization within the framework of coupled stand art mappings. Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 124-128. http://geodesic.mathdoc.fr/item/MM_2004_16_8_a10/

[1] Yuen G., Leik. B., Nelineinaya dinamika gravitatsionnykh voln na glubokoi vode, Mekhanika. Novoe v zarubezhnoi nauke, Mir, M., 1987

[2] Berezin A. A., “Matematicheskaya model polnogo vozvrata Fermi–Pasta–Ulama (FPU) v ramkakh sistemy svyazannykh uravnenii Kortevega de Vriza (KDV) i sinus-Gordona (SG)”, Matematicheskoe modelirovanie, 14:10 (2002), 105–108 | MR | Zbl

[3] Berezin A. A., “Vzaimodeistvie polnogo vozvrata Fermi–Pasta–Ulama s fluktuatsiyami sredy”, Matematicheskoe modelirovanie, 15:10 (2003), 51–59 | Zbl

[4] Lichtenberg, Lieberman M. A., “Regular and Chaotic Dynamics”, Applied Mathematical Sciences, 38, Springer-Verlag, 1991, 443–456

[5] Zaslavskii G. M., Sagdeev R. Z., Usikov D. A., Slabyi khaos i kvaziregulyarnye struktury, Nauka, M., 1991, 235 pp. | MR | Zbl