Abstract
In recent years numerous papers have dealt with the bifurcation of periodic orbits from an equilibrium point. The starting point for most investigations is the Liapunov Center Theorem [1] or the Hopf Bifurcation Theorem [1]. Local results concerning these theorems were published by Chafee [1], Henrard [1] Schmidt and Sweet [1] among many others, noted in previous sections, whereas Alexander and Yorke [1] discussed the global problem of the bifurcation of periodic orbits. They showed in their paper that Liapunov’s Center Theorem can be derived as a consequence of Hopf’s bifurcation theorem.
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