A+ CATEGORY SCIENTIFIC UNIT

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

Volume 58 / 2002

Juan J. Morales-Ruiz 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.

Authors

  • Juan J. Morales-RuizDepartament de Matemàtica Aplicada II
    Universitat Politècnica de Catalunya
    Pau Gargallo 5, E-08028 Barcelona, Spain
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image