A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory
Volume 58 / 2002
Banach Center Publications 58 (2002), 165-175
MSC: Primary 37J30; Secondary 34M35, 12H05, 34M15, 70G65
DOI: 10.4064/bc58-0-12
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.
