Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves

Mihajlova, Ana. "Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves." Serdica Mathematical Journal 30.1 (2004): 1-16. <http://eudml.org/doc/219579>.

@article{Mihajlova2004,
abstract = {2000 Mathematics Subject Classification: Primary 34C07, secondary 34C08.We obtain an upper bound for the number of zeros of the Abelian integral.The work was partially supported by contract No 15/09.05.2002 with the Shoumen University “K. Preslavski”, Shoumen, Bulgaria.},
author = {Mihajlova, Ana},
journal = {Serdica Mathematical Journal},
keywords = {Abelian Intergrals; Limit Cycles; Abelian integral; elliptic curve; reversible cubic Hamiltonian; polynomial perturbation; limit cycles; infinitesimal Hilbert 16th problem},
language = {eng},
number = {1},
pages = {1-16},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves},
url = {http://eudml.org/doc/219579},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Mihajlova, Ana
TI - Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 1
SP - 1
EP - 16
AB - 2000 Mathematics Subject Classification: Primary 34C07, secondary 34C08.We obtain an upper bound for the number of zeros of the Abelian integral.The work was partially supported by contract No 15/09.05.2002 with the Shoumen University “K. Preslavski”, Shoumen, Bulgaria.
LA - eng
KW - Abelian Intergrals; Limit Cycles; Abelian integral; elliptic curve; reversible cubic Hamiltonian; polynomial perturbation; limit cycles; infinitesimal Hilbert 16th problem
UR - http://eudml.org/doc/219579
ER -