A Numerical Approach to Bifurcations from Quadratic Centers

A combination of analytical and numerical work is done to analyze bifurcation of limit cycles from non-Hamiltonian codimension-three quadratic centers. The winding curve C3 of cyclicity-three separatrix cycles, qualitatively located in earlier work, is determined numerically. Evidence is given that the 2,2., 3,2., and 3,3. configurations of limit cycles do not bifurcate from this class of quadratic centers.