Title of article
The cyclicity of the period annulus of a quadratic reversible system with one center of genus one
Author/Authors
Peng, Linping Beijing University of Aeronautics and Astronautics, LIMB of the ministry of education - School of Mathematics and System Sciences, CHINA , Sun, Yannan Beijing University of Aeronautics and Astronautics, LIMB of the ministry of education - School of Mathematics and System Sciences, CHINA
From page
667
To page
685
Abstract
This paper is concerned with a quadratic reversible and non-Hamiltonian system with one center of genus one. By using the properties of related elliptic integrals and the geometry of some planar curves defined by them, we prove that the cyclicity of the period annulus of the considered system under small quadratic perturbations is two. This verifies Gautier’s conjecture about the cyclicity of the related period annulus.
Keywords
Cyclicity , bifurcation of limit cycles , quadratic perturbations , period annulus , a quadratic reversible system with one center of genus one
Journal title
Turkish Journal of Mathematics
Journal title
Turkish Journal of Mathematics
Record number
2530960
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