# Integrability and limit cycles for Abel equations

Banach Center Publications (2011)

- Volume: 94, Issue: 1, page 187-196
- ISSN: 0137-6934

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topJean-Pierre Françoise. "Integrability and limit cycles for Abel equations." Banach Center Publications 94.1 (2011): 187-196. <http://eudml.org/doc/282345>.

@article{Jean2011,

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.},

author = {Jean-Pierre Françoise},

journal = {Banach Center Publications},

keywords = {integrability; Abel equation; limit cycle},

language = {eng},

number = {1},

pages = {187-196},

title = {Integrability and limit cycles for Abel equations},

url = {http://eudml.org/doc/282345},

volume = {94},

year = {2011},

}

TY - JOUR

AU - Jean-Pierre Françoise

TI - Integrability and limit cycles for Abel equations

JO - Banach Center Publications

PY - 2011

VL - 94

IS - 1

SP - 187

EP - 196

AB - 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.

LA - eng

KW - integrability; Abel equation; limit cycle

UR - http://eudml.org/doc/282345

ER -

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