ELLIPTIC INTEGRALS AND LIMIT-CYCLES

被引：4

作者：

URBINA, AM ^{[1
]}

DELABARRA, ML ^{[1
]}

DELABARRA, GL ^{[1
]}

CANAS, M ^{[1
]}

机构：

[1] UNIV TECN FEDERICO SANTA MARIA, DEPT MATEMAT, CASILLA 110-V, VALPARAISO, CHILE

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1993年 / 48卷 / 02期

关键词：

D O I：

10.1017/S0004972700015641

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using zeros of elliptic integrals we establish an upper bound for the number of limit cycles that emerge from the period annulus of the Hamiltonian X(H) in the system X(epsilon) = X(H) + epsilon(P, Q), where H = y2 + x4 and P, Q are polynomials in x, y, as a function of the degrees of P and Q. In particular, if (P, Q) = [GRAPHICS] with N = 2k + 1 or 2k + 2, this upper bound is k - 1.

引用

页码：195 / 200

页数：6

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