Geodesic
Construction of families of equations to describe irregular solutions in the Fermi--Pasta--Ulam problem
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 501 (2021), pp. 52-56

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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. 
@article{DANMA_2021_501_a9,
     author = {S. A. Kaschenko},
     title = {Construction of families of equations to describe irregular solutions in the {Fermi--Pasta--Ulam} problem},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {52--56},
     publisher = {mathdoc},
     volume = {501},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_501_a9/}
}
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S. A. Kaschenko. Construction of families of equations to describe irregular solutions in the Fermi--Pasta--Ulam problem. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 501 (2021), pp. 52-56. http://geodesic.mathdoc.fr/item/DANMA_2021_501_a9/