On the number of limit cycles in perturbations of a quadratic reversible center

Juanjuan Wu; Linping Peng; Cuiping Li

doi:10.1017/S1446788712000213

On the number of limit cycles in perturbations of a quadratic reversible center

Juanjuan Wu^*
, Linping Peng
, Cuiping Li

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

Abstract This paper is concerned with the bifurcation of limit cycles from a quadratic reversible system under polynomial perturbations. It is proved that the cyclicity of the period annulus is two, and also a linear estimate of the number of zeros of the Abelian integral for the system under polynomial perturbations of arbitrary degree nis given.

源语言	英语
页（从-至）	409-423
页数	15
期刊	Journal of the Australian Mathematical Society
卷	92
期	3
DOI	https://doi.org/10.1017/S1446788712000213
出版状态	已出版 - 6月 2012

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title = "On the number of limit cycles in perturbations of a quadratic reversible center",

abstract = "Abstract This paper is concerned with the bifurcation of limit cycles from a quadratic reversible system under polynomial perturbations. It is proved that the cyclicity of the period annulus is two, and also a linear estimate of the number of zeros of the Abelian integral for the system under polynomial perturbations of arbitrary degree nis given.",

keywords = "Abelian integral, cyclicity, limit cycles, quadratic reversible system",

author = "Juanjuan Wu and Linping Peng and Cuiping Li",

year = "2012",

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T1 - On the number of limit cycles in perturbations of a quadratic reversible center

AU - Wu, Juanjuan

AU - Peng, Linping

AU - Li, Cuiping

PY - 2012/6

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N2 - Abstract This paper is concerned with the bifurcation of limit cycles from a quadratic reversible system under polynomial perturbations. It is proved that the cyclicity of the period annulus is two, and also a linear estimate of the number of zeros of the Abelian integral for the system under polynomial perturbations of arbitrary degree nis given.

AB - Abstract This paper is concerned with the bifurcation of limit cycles from a quadratic reversible system under polynomial perturbations. It is proved that the cyclicity of the period annulus is two, and also a linear estimate of the number of zeros of the Abelian integral for the system under polynomial perturbations of arbitrary degree nis given.

KW - Abelian integral

KW - cyclicity

KW - limit cycles

KW - quadratic reversible system

UR - https://www.scopus.com/pages/publications/84875536258

U2 - 10.1017/S1446788712000213

DO - 10.1017/S1446788712000213

M3 - 文章

AN - SCOPUS:84875536258

SN - 1446-7887

VL - 92

SP - 409

EP - 423

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 3

ER -

On the number of limit cycles in perturbations of a quadratic reversible center

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