Integrability and limit cycles for Abel equations
Volume 94 / 2011
Banach Center Publications 94 (2011), 187-196
MSC: Primary 34C29; Secondary 34C25, 58F22.
DOI: 10.4064/bc94-0-11
Abstract
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.
