Limit cycles bifurcating from a two-dimensional isochronous cylinder

The goal of this work is to illustrate the explicit implementation of a method for computing limit cycles which bifurcate from a continuum of isochronous periodic orbits forming a subset of RnRn of dimension k2n>2 have been performed by perturbing a linear center which fills a whole Rk⊂RnRk⊂Rn. Here we will perturb the cylinder x2+y2=1x2+y2=1 of R3={(x,y,z):x,y,z∈R}R3={(x,y,z):x,y,z∈R} filled with periodic orbits.