TY - JOUR T1 - The Center Manifold Reduction Method for Hopf Bifurcation Theorem AU - Lei Yansong JO - Journal of Partial Differential Equations VL - 4 SP - 22 EP - 34 PY - 1989 DA - 1989/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5840.html KW - AB - In this paper we apply the center manifold reduction method to prove a Hopf bifurcation theorem for infinite dimensional problem. The asymptolic expression of bifurcation formulae and stability condition are given. The Hopf bifurcation problem for a system of parabolic equations is considered.