Bifurcation Theory of Functional Differential Equations : a Survey ∗

  title={Bifurcation Theory of Functional Differential Equations : a Survey ∗},
  author={Shangjiang Guo and Jie Li},
In this paper we survey the topic of bifurcation theory of functional differential equations. We begin with a brief discussion of the position of bifurcation and functional differential equations in dynamical systems. We follow with a survey of the state of the art on the bifurcation theory of functional differential equations, including results on Hopf bifurcation, center manifold theory, normal form theory, Lyapunov-Schmidt reduction, and degree theory. 

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