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February  2010, 27(1): 325-335. doi: 10.3934/dcds.2010.27.325

Quadratic perturbations of a class of quadratic reversible systems with one center

Haihua Liang 1, and  Yulin Zhao 1,

1. 

Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China, China

Received  May 2009 Revised  September 2009 Published  February 2010

This paper is concerned with the bifurcation of limit cycles from a class of one-parameter family of quadratic reversible system under quadratic perturbations. The exact upper bound of the number of limit cycles is given.
Keywords: quadratic reversible system, Abelian integral., limit cycle, quadratic perturbations.
Mathematics Subject Classification: Primary: 34C07, 34C08; Secondary: 37G1.
Citation: Haihua Liang, Yulin Zhao. Quadratic perturbations of a class of quadratic reversible systems with one center. Discrete & Continuous Dynamical Systems - A, 2010, 27 (1) : 325-335. doi: 10.3934/dcds.2010.27.325
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