Perturbations of the non-generic quadratic Hamiltonian vector fields with hyperbolic segment

Authors
Zhao, YL Zhu, SM
Citation
Yl. Zhao et Sm. Zhu, Perturbations of the non-generic quadratic Hamiltonian vector fields with hyperbolic segment, B SCI MATH, 125(2), 2001, pp. 109-138
Citations number
25
Categorie Soggetti
Mathematics
Journal title
BULLETIN DES SCIENCES MATHEMATIQUES
ISSN journal
00074497 → ACNP
Volume
125
Issue
2
Year of publication
2001
Pages
109 - 138
Database
ISI
SICI code
0007-4497(200102)125:2<109:POTNQH>2.0.ZU;2-5
Abstract
The paper deals with the non-generic quadratic Hamiltonian vector fields wi th hyperbolic segment. It is proved that in this situation the cyclicity of period annulus under quadratic perturbation is equal to two. (C) 2001 Edit ions scientifiques et medicales Elsevier SAS.