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

Pages: 325 - 335, Volume 27, Issue 1, May 2010

doi:10.3934/dcds.2010.27.325       Abstract        Full Text (183.3K)       Related Articles

Haihua Liang - Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China (email)
Yulin Zhao - Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China (email)

Abstract: 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 perturbations, quadratic reversible system, limit cycle, Abelian integral.
Mathematics Subject Classification:  Primary: 34C07, 34C08; Secondary: 37G15.

Received: May 2009;      Revised: September 2009;      Published: February 2010.