Homological equations for tensor fields and periodic averaging

M. Avendaño Camacho; Y. M. Vorobiev

doi:10.1134/S1061920811030010

Homological equations for tensor fields and periodic averaging

M. Avendaño Camacho, Y. M. Vorobiev

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

11 Citas (Scopus)

Resumen

Homological equations of tensor type associated to periodic flows on a manifold are studied. The Cushman intrinsic formula [4] is generalized to the case of multivector fields and differential forms. Some applications to normal forms and the averaging method for perturbed Hamiltonian systems on slow-fast phase spaces are given.

Idioma original	Inglés
Páginas (desde-hasta)	243-257
Número de páginas	15
Publicación	Russian Journal of Mathematical Physics
Volumen	18
N.º	3
DOI	https://doi.org/10.1134/S1061920811030010
Estado	Publicada - sep. 2011

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title = "Homological equations for tensor fields and periodic averaging",

abstract = "Homological equations of tensor type associated to periodic flows on a manifold are studied. The Cushman intrinsic formula [4] is generalized to the case of multivector fields and differential forms. Some applications to normal forms and the averaging method for perturbed Hamiltonian systems on slow-fast phase spaces are given.",

author = "Camacho, {M. Avenda{\~n}o} and Vorobiev, {Y. M.}",

note = "Funding Information: We thank M. V. Karasev for helpful discussions. This research was partially supported by CONA-CYT under grant no. 55463.",

year = "2011",

month = sep,

doi = "10.1134/S1061920811030010",

language = "Ingl{\'e}s",

volume = "18",

pages = "243--257",

journal = "Russian Journal of Mathematical Physics",

issn = "1061-9208",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

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T1 - Homological equations for tensor fields and periodic averaging

AU - Camacho, M. Avendaño

AU - Vorobiev, Y. M.

N1 - Funding Information: We thank M. V. Karasev for helpful discussions. This research was partially supported by CONA-CYT under grant no. 55463.

PY - 2011/9

Y1 - 2011/9

N2 - Homological equations of tensor type associated to periodic flows on a manifold are studied. The Cushman intrinsic formula [4] is generalized to the case of multivector fields and differential forms. Some applications to normal forms and the averaging method for perturbed Hamiltonian systems on slow-fast phase spaces are given.

AB - Homological equations of tensor type associated to periodic flows on a manifold are studied. The Cushman intrinsic formula [4] is generalized to the case of multivector fields and differential forms. Some applications to normal forms and the averaging method for perturbed Hamiltonian systems on slow-fast phase spaces are given.

UR - http://www.scopus.com/inward/record.url?scp=80052396976&partnerID=8YFLogxK

U2 - 10.1134/S1061920811030010

DO - 10.1134/S1061920811030010

M3 - Artículo

SN - 1061-9208

VL - 18

SP - 243

EP - 257

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

IS - 3

ER -

Homological equations for tensor fields and periodic averaging

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