Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.
Li, Chengzhi ; Llibre, Jaume ; Zhang, Zhi-fen
Publicacions Matemàtiques, Tome 39 (1995), p. 355-366 / Harvested from Biblioteca Digital de Matemáticas
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We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is one.

Publié le : 1995-01-01
DMLE-ID : 3771 
@article{urn:eudml:doc:41230,
     title = {Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.},
     journal = {Publicacions Matem\`atiques},
     volume = {39},
     year = {1995},
     pages = {355-366},
     mrnumber = {MR1370892},
     zbl = {0856.58033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41230}
}

Li, Chengzhi; Llibre, Jaume; Zhang, Zhi-fen. Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.. Publicacions Matemàtiques, Tome 39 (1995) pp. 355-366. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41230/