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

• Autorzy: Juan J. Morales-Ruiz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 12H05: Differential algebra
• 34M15: Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical)
• 70G65: Symmetries, Lie-group and Lie-algebra methods
• 34M35: Singularities, monodromy, local behavior of solutions, normal forms
• 37J30: Obstructions to integrability (nonintegrability criteria)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2002
• Tom: 58
• Numer: 1
• Strony: 165-175

Daty

wydano

2002

Twórcy

autor

Juan J. Morales-Ruiz

• Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, Pau Gargallo 5, E-08028 Barcelona, Spain

Identyfikatory

DOI

10.4064/bc58-0-12