%0 Journal Article %T On the prescribed-period problem for autonomous Hamiltonian systems %A A. A. Zevin %J Electronic Journal of Differential Equations %D 1998 %I Texas State University %X systems are considered. Lower bounds for the number of periodic solutions with a prescribed minimal period are obtained. These bounds are expressed in terms of the numbers of frequencies corresponding to the critical points of the Hamiltonian. Results are based on a global analysis of families of periodic solutions emanating from these points. %K Autonomous Hamiltonian system %K periodic solutions %K global analysis %K prescribed-period problem. %U http://ejde.math.txstate.edu/Volumes/1998/05/abstr.html