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THE CYCLICITY OF THE PERIOD ANNULUS OF A CLASS OF QUADRATIC REVERSIBLE SYSTEM.

Authors :
Yi Shao
Yulin Zhao
Maoan Han
Source :
Communications on Pure & Applied Analysis; May2012, Vol. 11 Issue 3, p1269-1283, 15p
Publication Year :
2012

Abstract

In this paper, we study the bifurcation of limit cycles of a class of planar quadratic reversible system ẋ = y +4x², ẏ = -x+2xy under quadratic perturbations. It is proved that the cyclicity of the period annulus is equal to two. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15340392
Volume :
11
Issue :
3
Database :
Complementary Index
Journal :
Communications on Pure & Applied Analysis
Publication Type :
Academic Journal
Accession number :
82584000
Full Text :
https://doi.org/10.3934/cpaa.2012.11.1269