Bifurcations from a normally degenerate cycle in forced planar differential equations (Q6172792)

The work will be interesting about bifurcations from a resonant period manifold in forced systems assuming that the period manifold is normally non-degenerate. Author deals with smooth systems in dimension two, considering bifurcations from a normally degenerate cycle in terms of the Poincaré return map and return-time map near the cycle of the unperturbed system. The obtained results show the limiting behavior of the branch of T-periodic solutions as \(\varepsilon\) approaches 0.