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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