|
| 摘要: |
| 本文研究了一类十一次多中心平面Hamilton系统在 n 次多项式扰动下Abelian积分的零点个数. 应用Picard-Fuchs方程法,证明了这类扰动Hamilton系统的Abelian积分的零点个数的上界(计重数). |
| 关键词: Hamilton系统 Abel积分 Picard-Fuchs方程 极限环 |
| DOI： |
| 分类号:O175 |
| 基金项目:国家自然科学基金(12261070)；宁夏自然科学基金(2022AAC03333).FoundationNational Natural Science Foundation of China(12261070)；Ningxia Natural Science Foundation (2022AAC03333).作者白龙,男,教授,硕士,主要从事微分方程动力学研究.E-mail:305178410@qq.com. |
|
| The number of zeros of Abelian integrals of a class of Hamiltonian systemwith eleven degree |
|
bailong
|
| Abstract: |
| In this paper, we study the number of zeros of Abelian integral for a class of Hamiltonian system under perturbations of a polynomials with degree n . By using Picard-Fuchs equation method, we derive the upper bound of the number of zeros of Abelian integrals for this class of perturbed Hamiltonian systems (taking into account the multiplicity). |
| Key words: Hamiltonian system Abel integral Picard-Fuchs equation limit cycle |
