# A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory

Banach Center Publications (2002)

- Volume: 58, Issue: 1, page 165-175
- ISSN: 0137-6934

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topJuan J. Morales-Ruiz. "A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory." Banach Center Publications 58.1 (2002): 165-175. <http://eudml.org/doc/282157>.

@article{JuanJ2002,

abstract = {We obtain an algebraic interpretation by means of the Picard-Vessiot theory of a result by Ziglin about the self-intersection of complex separatrices of time-periodically perturbed one-degree of freedom complex analytical Hamiltonian systems.},

author = {Juan J. Morales-Ruiz},

journal = {Banach Center Publications},

keywords = {Poincaré-Arnold-Melnikov integral; Picard-Vessiot theory; nonintegrability},

language = {eng},

number = {1},

pages = {165-175},

title = {A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory},

url = {http://eudml.org/doc/282157},

volume = {58},

year = {2002},

}

TY - JOUR

AU - Juan J. Morales-Ruiz

TI - A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory

JO - Banach Center Publications

PY - 2002

VL - 58

IS - 1

SP - 165

EP - 175

AB - We obtain an algebraic interpretation by means of the Picard-Vessiot theory of a result by Ziglin about the self-intersection of complex separatrices of time-periodically perturbed one-degree of freedom complex analytical Hamiltonian systems.

LA - eng

KW - Poincaré-Arnold-Melnikov integral; Picard-Vessiot theory; nonintegrability

UR - http://eudml.org/doc/282157

ER -

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