The cyclicity of the period annulus of a quadratic reversible system with a hemicycle

Linping Peng; Yazhi Lei

doi:10.3934/dcds.2011.30.873

The cyclicity of the period annulus of a quadratic reversible system with a hemicycle

Linping Peng^*
, Yazhi Lei

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University
24th Middle School of Beijing

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

5 Scopus citations

Abstract

The cyclicity of the period annulus of a quadratic reversible and non-Hamiltonian system under quadratic perturbations is studied. The centroid curve method and other mathematical techniques are combined to prove that the related Abelian integral has at most two zeros. This gives a proof of Conjecture 1 in [8] for one case.

Original language	English
Pages (from-to)	873-890
Number of pages	18
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	30
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2011.30.873
State	Published - Jul 2011

Keywords

A period annulus
A quadratic reversible and non-Hamiltonian system
Cyclicity
Limit cycles

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10.3934/dcds.2011.30.873

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title = "The cyclicity of the period annulus of a quadratic reversible system with a hemicycle",

abstract = "The cyclicity of the period annulus of a quadratic reversible and non-Hamiltonian system under quadratic perturbations is studied. The centroid curve method and other mathematical techniques are combined to prove that the related Abelian integral has at most two zeros. This gives a proof of Conjecture 1 in [8] for one case.",

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AU - Lei, Yazhi

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AB - The cyclicity of the period annulus of a quadratic reversible and non-Hamiltonian system under quadratic perturbations is studied. The centroid curve method and other mathematical techniques are combined to prove that the related Abelian integral has at most two zeros. This gives a proof of Conjecture 1 in [8] for one case.

KW - A period annulus

KW - A quadratic reversible and non-Hamiltonian system

KW - Cyclicity

KW - Limit cycles

UR - https://www.scopus.com/pages/publications/79954546848

U2 - 10.3934/dcds.2011.30.873

DO - 10.3934/dcds.2011.30.873

M3 - 文章

AN - SCOPUS:79954546848

SN - 1078-0947

VL - 30

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 3

ER -

The cyclicity of the period annulus of a quadratic reversible system with a hemicycle

Abstract

Keywords

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