TY - JOUR
T1 - A Direct Method for Pitchfork Bifurcation Points
AU - Yang , Zhong-Hua
JO - Journal of Computational Mathematics
VL - 2
SP - 149
EP - 154
PY - 1991
DA - 1991/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9387.html
KW - 
AB - <p style="text-align: justify;">To overcome the difficulty caused by the singularity at the pitchfork bifurcation points, we introduce the homotopy parameter so that the problem of computing the pitchfork bifurcation points can be transferred to that of computing the fold points of degree 3 with respect to the homotopy parameter. An extended system for pitchfork bifurcation points is given. The regularity of the extended system is proved. Finally, the numerical examples show the effectiveness of our method.</p>