| 一类可积非Hamilton系统的Abel积分的零点估计 |
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| 引用本文： | 陈永雪,李学鹏.一类可积非Hamilton系统的Abel积分的零点估计[J].数学的实践与认识,2010,40(14). |
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| 作者姓名： | 陈永雪 李学鹏 |
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| 摘 要： | 讨论了一类含参可积非Hamilton系统在一般二次多项式扰动下的Abel积分的零点,得出了不同参数范围下的Abel积分的零点数目的估计.
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| 关 键 词： | 可积非Hamilton系统 Abel积分 零点 |
Estimation of the Number of Zeros of Abelian Integrals for a Kind of Integrable Non-Hamiltonian Systems |
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| CHEN Yong-xue,LI Xue-peng.Estimation of the Number of Zeros of Abelian Integrals for a Kind of Integrable Non-Hamiltonian Systems[J].Mathematics in Practice and Theory,2010,40(14). |
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| Authors: | CHEN Yong-xue LI Xue-peng |
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| Abstract: | In this paper,we study the number of zeros of Abelian integrals for a kind of integrable non-Hamiltonian systems with parameters under quadratic polynomial perturbation, obtain the estimation of the number of zeros of Abelian integrals under different scope of parameters. |
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| Keywords: | integrable non-Hamiltonian system Abelian integral zero |
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