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

Juan J. Morales-Ruiz

Banach Center Publications (2002)

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

Abstract

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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.

How to cite

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Juan 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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