本文選題：Hamilton系統(tǒng)　切入點：冪零奇點　出處：《數(shù)學雜志》2017年06期 　論文類型：期刊論文

【摘要】：本文研究了具有冪零奇點的七次Hamilton系統(tǒng)的Abel積分的零點個數(shù)問題.利用Picard-Fuchs方程法,得到了Abel積分I(h)=∮_(Γh)g(x,y)dx-f(x,y)dy在(0,1/4)上零點個數(shù)B(n≤3[(n-1)/4]),其中Γ_h是H(x,y)=x~4+y~4-x~8=h,h∈(0,1/4),所定義的卵形線f(x,y)=∑(1≤4i+4j+1≤n)aijx~(4i+1)y~4j)和g(x,y)=∑(1≤4i+4j+1≤n)bijx~4iy~(4j+1)是x和y的次數(shù)不超過n的多項式.
[Abstract]:In this paper, the problem of the 00:00 number of Abel integrals for a Hamilton system with nilpotent singularities is studied. The Picard-Fuchs equation method is used. In this paper, we get the number of B n 鈮，

本文編號：1592642