Non-integrability of the degenerate cases of the winging atwood's machine using higher order variational equations

Regina Martínez; Carles Simó

doi:10.3934/dcds.2011.29.1

Non-integrability of the degenerate cases of the winging atwood's machine using higher order variational equations

Regina Martínez, Carles Simó

Departamento de Matemáticas

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

11 Citas (Scopus)

Resumen

Non-integrability criteria, based on differential Galois theory and requiring the use of higher order variational equations (VEk), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE1).

Idioma original	Inglés
Páginas (desde-hasta)	1-24
Publicación	Discrete and Continuous Dynamical Systems
Volumen	29
N.º	1
DOI	https://doi.org/10.3934/dcds.2011.29.1
Estado	Publicada - 1 ene 2011

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title = "Non-integrability of the degenerate cases of the winging atwood's machine using higher order variational equations",

abstract = "Non-integrability criteria, based on differential Galois theory and requiring the use of higher order variational equations (VEk), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE1).",

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N2 - Non-integrability criteria, based on differential Galois theory and requiring the use of higher order variational equations (VEk), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE1).

AB - Non-integrability criteria, based on differential Galois theory and requiring the use of higher order variational equations (VEk), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE1).

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DO - 10.3934/dcds.2011.29.1

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Non-integrability of the degenerate cases of the winging atwood's machine using higher order variational equations

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