The monotonicity of the ratio of two hyperelliptic Abelian integrals for a class of symmetric potential systems of degree eight

被引：0

作者：

Mohammad, G. ^{[1
]}

Asheghi, R. ^{[1
]}

Kazemi, R. ^{[2
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 84156, Iran

[2] Univ Kashan, Dept Math Sci, Kashan 87317, Iran

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2022年 / 176卷

关键词：

Hamiltonian systems; Hyperelliptic Abelian integrals; Monotonicity; Asymptotic expansions; CRITERION;

D O I：

10.1016/j.bulsci.2022.103130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the monotonicity of the ratio of two hyperelliptic Abelian integrals I-0(h) = integral & UGamma;(h) ydx and I-1(h) = integral & UGamma;(h) xydx, where & UGamma;(h) is a compact component of the level set {(x, y) & ISIN; R-2 : H(x, y) = h, h & ISIN; (h(1), h(2))}, with H(x, y) = y(2) + A(x), where A(x) is an even polynomial of degree 8 depending on two parameters alpha and beta.& nbsp;(c) 2022 Elsevier Masson SAS. All rights reserved.

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页数：34

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