Quadratic perturbations of a quadratic reversible center of genus one

Linping Peng

doi:10.1007/s11464-011-0155-4

Quadratic perturbations of a quadratic reversible center of genus one

Linping Peng^*

^*Corresponding author for this work

School of Mathematical Sciences

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

2 Scopus citations

Abstract

In this paper, we study a reversible and non-Hamitonian system with a period annulus bounded by a hemicycle in the Poincaré disk. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two. This verifies some results of the conjecture given by Gautier et al.

Original language	English
Pages (from-to)	911-930
Number of pages	20
Journal	Frontiers of Mathematics in China
Volume	6
Issue number	5
DOIs	https://doi.org/10.1007/s11464-011-0155-4
State	Published - Oct 2011

Keywords

Quadratic reversible and non-Hamiltonian system
cyclicity
genus one
limit cycle
period annulus

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10.1007/s11464-011-0155-4

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title = "Quadratic perturbations of a quadratic reversible center of genus one",

abstract = "In this paper, we study a reversible and non-Hamitonian system with a period annulus bounded by a hemicycle in the Poincar{\'e} disk. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two. This verifies some results of the conjecture given by Gautier et al.",

keywords = "Quadratic reversible and non-Hamiltonian system, cyclicity, genus one, limit cycle, period annulus",

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AB - In this paper, we study a reversible and non-Hamitonian system with a period annulus bounded by a hemicycle in the Poincaré disk. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two. This verifies some results of the conjecture given by Gautier et al.

KW - Quadratic reversible and non-Hamiltonian system

KW - cyclicity

KW - genus one

KW - limit cycle

KW - period annulus

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U2 - 10.1007/s11464-011-0155-4

DO - 10.1007/s11464-011-0155-4

M3 - 文章

AN - SCOPUS:80053128547

SN - 1673-3452

VL - 6

SP - 911

EP - 930

JO - Frontiers of Mathematics in China

JF - Frontiers of Mathematics in China

IS - 5

ER -

Quadratic perturbations of a quadratic reversible center of genus one

Abstract

Keywords

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