Hopf Bifurcation Analysis of a Class of Delay Differential Systems

This paper analyzes when a Hopf bifurcation occurs for a class of delay differential systems, and constructs the algorithms for determining the bifurcation\´s occurrence. By using some algebraic criteria, the "complete discrimination system for polynomials" and Hurwitz criterion, on-line determining bifurcation\´s occurrence can be realized. The methods unify and generalize the relevant results in the literature.