| Contents |
| This talk is concerned with the bifurcation of limit cycles from a
quadratic reversible Lotka-Volterra system with two centers of genus
one under small quadratic perturbations. It shows that the
cyclicities of each period annulus and two period annuli of the
considered system under small quadratic perturbations are two,
respectively. This not only gives at least partially a positive answer to
an open conjecture, but also improves the corresponding results in the literature.
In addition, we present the configurations of
limit cycles of the perturbed system as (2, 0), (1, 1), (1, 0),
(0, 2), (0, 1) and (0, 0), where $(i,\, j)$ indicates that the
perturbed system has $i$ limit cycles surrounding the positive
singularity while it has $j$ limit cycles surrounding the negative one. |
|