Extensions of an algorithm for the analysis of nongeneric Hopf bifurcations, with applications to delay-difference equations
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A previously derived algorithm for the analysis of the Hopf bifurcation in functional differential equations is extended, allowing the elementary approximation of an existence and stability — determining scalar bifurcation function. With the assistance of the symbolic manipulation program MACSYMA ,  this algorithm is used to implement the algorithm and to investigate the nature of nongeneric Hopf bifurcations in scalar delay — difference equations.
KeywordsHopf Bifurcation Functional Differential Equation Negative Real Part Integrodifferential Equation Bifurcation Structure
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