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Extensions of an algorithm for the analysis of nongeneric Hopf bifurcations, with applications to delay-difference equations

  • Jeffery M. Franke
  • Harlan W. Stech
Research Articles
Part of the Lecture Notes in Mathematics book series (LNM, volume 1475)

Abstract

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 [5], [9] this algorithm is used to implement the algorithm and to investigate the nature of nongeneric Hopf bifurcations in scalar delay — difference equations.

Keywords

Hopf Bifurcation Functional Differential Equation Negative Real Part Integrodifferential Equation Bifurcation Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Jeffery M. Franke
  • Harlan W. Stech

There are no affiliations available

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