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一类二次可逆系统Abel积分零点个数的线性估计
  • 摘要

    研究了一类二次可逆系统当a=-4/3、b=2时,在n次扰动下Able积分I(h)零点个数的上界.首先,研究了I(h)的代数构造,证明了I(h)可表示为4个生成元的线性组合,最后利用Riccti方程证明得到Abel积分I(h)的零点个数小于15n-11.

  • 作者

    黎明 

  • 作者单位

    曲靖师范学院,数学与信息科学学院,云南,曲靖,655011

  • 刊期

    2009年6期 ISTIC PKU

  • 关键词

    二次可逆系统  Abel积分  线性估计  零点  代数构造 

参考文献
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  • [5] Gavrilov L. Remark on the number of eritical points of period. Journal of Differential Equations, 1993
  • [6] Zhao Y L;Zhang Z F. Linear estimate of the number of zeros of abelian integrals for a kind of quartic hamiltonians. Journal of Differential Equations, 1999
  • [7] Zhao Y L. Zeros of abelian integrals for the reversible codimension four quadratic centers. Israel J Mathematics, 2003
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