Bifurcation Theory of Functional Differential Equations : a Survey ∗

@inproceedings{Guo2015BifurcationTO,
title={Bifurcation Theory of Functional Differential Equations : a Survey ∗},
author={Shangjiang Guo and Jie Li},
year={2015}
}

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.