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

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	409-423
Number of pages	15
Journal	Journal of the Australian Mathematical Society
Volume	92
Issue number	3
DOIs	https://doi.org/10.1017/S1446788712000213
State	Published - Jun 2012

Keywords

Abelian integral
cyclicity
limit cycles
quadratic reversible system

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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",

month = jun,

doi = "10.1017/S1446788712000213",

language = "英语",

volume = "92",

pages = "409--423",

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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

Y1 - 2012/6

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

Abstract

Keywords

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