Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields

Markov, Yavor. "Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields." Serdica Mathematical Journal 22.2 (1996): 91-108. <http://eudml.org/doc/11633>.

@article{Markov1996,
abstract = {We prove that in quadratic perturbations of generic Hamiltonian vector fields with two saddle points and one center there can appear at most two limit cycles. This bound is exact.},
author = {Markov, Yavor},
journal = {Serdica Mathematical Journal},
keywords = {Limit Cycles; Abelian Integrals; Picard-Lefschetz Formula; Hamiltonians; saddles; centres; limit cycles; Abelian integrals},
language = {eng},
number = {2},
pages = {91-108},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields},
url = {http://eudml.org/doc/11633},
volume = {22},
year = {1996},
}

TY - JOUR
AU - Markov, Yavor
TI - Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields
JO - Serdica Mathematical Journal
PY - 1996
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 22
IS - 2
SP - 91
EP - 108
AB - We prove that in quadratic perturbations of generic Hamiltonian vector fields with two saddle points and one center there can appear at most two limit cycles. This bound is exact.
LA - eng
KW - Limit Cycles; Abelian Integrals; Picard-Lefschetz Formula; Hamiltonians; saddles; centres; limit cycles; Abelian integrals
UR - http://eudml.org/doc/11633
ER -