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

Serdica Mathematical Journal (1996)

- Volume: 22, Issue: 2, page 91-108
- ISSN: 1310-6600

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topMarkov, 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 -

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