TY - JOUR
T1 - Double $S$-Breaking Cubic Turning Points and Their Computation
AU - R. S. Ye & Z. H. Yang
JO - Journal of Computational Mathematics
VL - 1
SP - 8
EP - 22
PY - 1996
DA - 1996/02
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9215.html
KW - 
AB - <p style="text-align: justify;">In the paper we are concerned with double $S$-breaking cubic turning points of two-parameter nonlinear problems in the presence of ${\cal Z}_2$-symmetry. Three extended systems are proposed to determine double $S$-breaking cubic turning points. We show that there exist two kinds of singular point path passing through double $S$-breaking cubic turning point. One is the simple quadratic turning point path, the other is the pitchfork bifurcation point path.</p>