Open AccessBIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY
Author(s) -
Shangjiang Guo,
Jie Li
Publication year - 2015
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2015057
Subject(s) - mathematics , bifurcation , mathematical analysis , physics , nonlinear system , quantum mechanics
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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