The period function near a polycycle with two semi-hyperbolic vertices
Mansilla, Angélica ; Saavedra, Mariana
Annales mathématiques Blaise Pascal, Tome 8 (2001), p. 93-104 / Harvested from Numdam
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Publié le : 2001-01-01
@article{AMBP_2001__8_1_93_0,
     author = {Mansilla, Ang\'elica and Saavedra, Mariana},
     title = {The period function near a polycycle with two semi-hyperbolic vertices},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {8},
     year = {2001},
     pages = {93-104},
     mrnumber = {1863649},
     zbl = {01690886},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2001__8_1_93_0}
}

Mansilla, Angélica; Saavedra, Mariana. The period function near a polycycle with two semi-hyperbolic vertices. Annales mathématiques Blaise Pascal, Tome 8 (2001) pp. 93-104. http://gdmltest.u-ga.fr/item/AMBP_2001__8_1_93_0/

[A] V.I. Arnold. "Ordinary differential equations", R. A. Silverman, translator, MIT Press, 1978. | MR 508209 | Zbl 0296.34001

[C-D] C. ChiconeF. Dumortier. "Finiteness for critical periods of planar analytic vector fields", Nonlinear Anal. Theory, Methods Appl. 20, n° 4, (1993), 315-335. | MR 1206421 | Zbl 0773.34032

[M] R. Moussu . "Développement asymptotique de l'application retour d'un polycycle". Lectures Notes in Math., n° 1331 (1989). | MR 961097 | Zbl 0659.58009

[P] L.M. Perko. "On the accumulation of limit cycles", Proc. Amer. Math. Soc., 99 (1987) 515-526. | MR 875391 | Zbl 0626.34022

[S] M. Saavedra. "Développement asymptotique de la fonction période". Thesis Doctor's degree of the Bourgogne's University, 1995. | MR 1298283

[Sa] M. Saavedra. "Développement asymptotique de la fonction période". C. R. Acad. Sci. Paris, t. 319, Série I, p. 563-566 (1994). | MR 1298283 | Zbl 0814.34038