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Estimation of the Number of Zeros of Abelian Integrals of a Planar Hamiltonian System
Received:December 11, 2000
Key Words
:
Hamiltonian system
Abelian integrals
Picard-Fuchs equation.
Fund Project
:
Author Name
Affiliation
SONG Yan
Dept. of Math.
Bohai University
Jinzhou
China
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Abstract
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In this paper, we study the number of zeros of Abelian integrals of a planar Hamil-tonian system when we perturb it inside the class of all polynomial systems of degree n. We obtain that the upper bound of the number is [(3n-1)/2].
Citation:
DOI
:
10.3770/j.issn:1000-341X.2003.04.014
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