doi:10.3934/dcds.2009.24.699          Full text: (386.9K)

B. Coll - Dept. de Matemàtiques i Informàtica, Universitat de les Illes Balears, Escola Politècnica Superior, 07122-Palma de Mallorca, Spain (email)

Chengzhi Li - School of Mathematical Sciences and LMAM, Peking University, Beijing, 100871, China (email)

Rafel Prohens - Dep. de Matemàtiques i Informàtica. Univ. de Illes Balears, 07122-Palma de Mallorca, Spain (email)

Abstract: Quadratic perturbations of a one-parameter family of quadratic reversible systems with two centers (without other singularities in finite plane) are studied. The exact upper bound of the number of limit cycles, the configurations of limit cycles, and the bifurcation diagrams for different range of the parameter are given.

Keywords: Quadratic Reversible system, Abelian integral, limit cycle.
Mathematics Subject Classification: Primary: 34C07, 34C08; Secondary: 37G15.

Received:   January   2008;   Revised:   June  2008;   Published:   April  2009.

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