Quadratic perturbations of a class of quadratic reversible systems with two centers

B. Coll; Chengzhi Li; Rafel Prohens

doi:10.3934/dcds.2009.24.699

Article Contents

2009, Volume 24, Issue 3: 699-729. Doi: 10.3934/dcds.2009.24.699

This issue Previous Article Model reference control for SIRS models Next Article Peak solutions for the Dirichlet problem of an elliptic system

Quadratic perturbations of a class of quadratic reversible systems with two centers

1.
Dept. de Matemàtiques i Informàtica, Universitat de les Illes Balears, Escola Politècnica Superior, 07122-Palma de Mallorca
2.
School of Mathematical Sciences and LMAM, Peking University, Beijing, 100871
3.
Dep. de Matemàtiques i Informàtica. Univ. de Illes Balears, 07122-Palma de Mallorca

Received: December 31, 2007

Revised: May 31, 2008

Published: August 2009

Abstract Related Papers Cited by

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:

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

Citation:

Article Metrics

HTML views() PDF downloads(126) Cited by(0)

Quadratic perturbations of a class of quadratic reversible systems with two centers

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Quadratic perturbations of a class of quadratic reversible systems with two centers

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content