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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 501, Pages 52–56
DOI: https://doi.org/10.31857/S2686954321060102 (Mi danma222) 		 
MATHEMATICS

Construction of families of equations to describe irregular solutions in the Fermi–Pasta–Ulam problem

S. A. Kaschenko

P.G. Demidov Yaroslavl State University, Yaroslavl, Russia
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DOI: https://doi.org/10.31857/S2686954321060102
Abstract: The asymptotics of solutions of the spatial distributed chain in the Fermi–Pasta–Ulam problem is considered. Continual families of irregular solutions depending on parameters are constructed. It is shown that they are described by special systems of Schrödinger type. The influence exerted on the asymptotics of solutions by variations in the number of elements in the considered chain is studied.
Keywords: Fermi–Pasta–Ulam problem, quasi-normal forms, asymptotics, spatially distributed chains.
Funding agency Grant number
Russian Science Foundation 21-71-30011
This work was supported by the Russian Science Foundation, project no. 21-71-30011.
Presented: V. V. Kozlov
Received: 15.09.2021
Revised: 15.09.2021
Accepted: 08.10.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 3, Pages 360–364
DOI: https://doi.org/10.1134/S1064562421060107
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
Language: Russian
Citation: S. A. Kaschenko, “Construction of families of equations to describe irregular solutions in the Fermi–Pasta–Ulam problem”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021), 52–56; Dokl. Math., 104:3 (2021), 360–364
Citation in format AMSBIB
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