| Volume 5, Number 4, 2015, Pages 751-766 DOI：10.11948/2015057 |
| Bifurcation theory of functional differential equations: A survey |
| Shangjiang Guo,Jie Li |
| Keywords:Hopf bifurcation, center manifold theory, normal form theory, Lyapunov- Schmidt reduction, degree theory |
| Abstract: |
| In this paper we survey the topic of bifurcation theory of functionaldifferential equations. We begin with a brief discussion of the position of bifurcationand functional differential equations in dynamical systems. We followwith a survey of the state of the art on the bifurcation theory of functionaldifferential equations, including results on Hopf bifurcation, center manifoldtheory, normal form theory, Lyapunov-Schmidt reduction, and degree theory. |
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