Quadratic perturbations of a class of quadraticreversible  systems with one center

Haihua Liang; Yulin Zhao

doi:10.3934/dcds.2010.27.325

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2010, Volume 27, Issue 1: 325-335. Doi: 10.3934/dcds.2010.27.325

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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

Received: April 30, 2009

Revised: August 31, 2009

Published: February 2010

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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.

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Mathematics Subject Classification: Primary: 34C07, 34C08; Secondary: 37G15.

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