Discrete dynamical systems and bifurcation for periodic differential equations.

This paper concerns bifurcation for n dimensional T-periodic one parameter differential systems. Existence and stability of T-periodic bifurcating sets from equilibrium is proved. The main ingredients used are Lyapunov functions for the unperturbed systems and the properties of autonomous discrete dynamical systems that naturally arise from the differential system. More information about the structure of the bifurcating sets can be found under additional requirements.