On Integrable Models Close To Slow-Fast Hamiltonian Systems

M. Avendaño-Camacho; N. Mamani-Alegria; Y. Vorobiev

doi:10.1134/S1995080222040059

On Integrable Models Close To Slow-Fast Hamiltonian Systems

M. Avendaño-Camacho^*, N. Mamani-Alegria^*, Y. Vorobiev^*

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

Abstract: We construct a family of completely integrable systems ε^N-close to a slow-fast Hamiltonian system with two degrees of freedom which is described in the framework of the averaging method over slow-fast phase spaces with S¹-symmetry. Our approach is based on the free-coordinate normalization procedure for slow-fast Hamiltonian system with two degree of freedom.

Idioma original	Inglés
Páginas (desde-hasta)	21-34
Número de páginas	14
Publicación	Lobachevskii Journal of Mathematics
Volumen	43
N.º	1
DOI	https://doi.org/10.1134/S1995080222040059
Estado	Publicada - ene. 2022

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© 2022, Pleiades Publishing, Ltd.

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abstract = "Abstract: We construct a family of completely integrable systems εN-close to a slow-fast Hamiltonian system with two degrees of freedom which is described in the framework of the averaging method over slow-fast phase spaces with S1-symmetry. Our approach is based on the free-coordinate normalization procedure for slow-fast Hamiltonian system with two degree of freedom.",

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N2 - Abstract: We construct a family of completely integrable systems εN-close to a slow-fast Hamiltonian system with two degrees of freedom which is described in the framework of the averaging method over slow-fast phase spaces with S1-symmetry. Our approach is based on the free-coordinate normalization procedure for slow-fast Hamiltonian system with two degree of freedom.

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KW - averaging method

KW - improved first integral

KW - integrable model

KW - normal form theory

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JO - Lobachevskii Journal of Mathematics

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On Integrable Models Close To Slow-Fast Hamiltonian Systems

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