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 NameAffiliation
SONG Yan Dept. of Math.
Bohai University
Jinzhou
China 
Hits: 2451
Download times: 795
Abstract:
      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
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.