A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory
Juan J. Morales-Ruiz
Banach Center Publications, Tome 58 (2002), p. 165-175 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:282157 
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     author = {Juan J. Morales-Ruiz},
     title = {A note on a connection between the Poincar\'e-Arnold-Melnikov integral and the Picard-Vessiot theory},
     journal = {Banach Center Publications},
     volume = {58},
     year = {2002},
     pages = {165-175},
     zbl = {1035.37041},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc58-0-12}
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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, Tome 58 (2002) pp. 165-175. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc58-0-12/