Abstract
Bifurcation theory is concerned with the study of differential equations which depend upon a real parameter e. For certain critical values of the parameter one finds a structural change in the behavior of the solutions of the differential equation. Such a change is oftentimes called a bifurcation. The first systematic investigation of bifurcation phenomena in an n-dimensional space (n>2) was probably in the paper of E. HOPF [13] in 1942. Specifically HOPF studied a family of ordinary differential equations in R"
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