PERIODICAL ORBITS RESEARCH INITIALIZATION METHOD AND APPLICATION TO FERRORESONANT CIRCUITS

It is well known that for searching periodical solutions of a non-linear system of ordinary differential equations in dimension two we use the perturbation method. For an equation with three state variables we propose in this work an original perturbation method; the first points of rite periodical orbit are obtained by resolving two equations resulting from a simple integration. The first equation is Melnikov's function the second is the mean value of another function. We applied this method to the study of ''subharmonic ferroresonant regimes''.