Integrability and limit cycles for Abel equations

• Autorzy: Jean-Pierre Françoise
• Języki publikacji: EN

Abstrakty

EN

Abel equations are among the most natural ordinary differential equations which have a Godbillon-Vey sequence of length 4. We show that the associated Poincaré mapping can be expressed by iterated integrals with three functions which are solutions of a system of partial differential equations.

Kategorie tematyczne

• 34C29: Averaging method
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 94
• Numer: 1
• Strony: 187-196

Daty

wydano

2011

Twórcy

autor

Jean-Pierre Françoise

• Laboratoire J.-L. Lions, UMR 7598, CNRS, Université P.-M. Curie, Paris 6, 75005 Paris, France

Identyfikatory

DOI

10.4064/bc94-0-11