Zero-Hopf bifurcation for a class of Lorenz-type systems

Agraïments: All authors has been partially supported Conacyt México, grant 128790We apply the averaging theory to a class of three-dimensional autonomous quadratic polynomial differential systems known as Lorenz-type systems, and we prove the existence of a small amplitude periodic orbit bifurcating from a degenerate zero-Hopf equilibrium of these systems