TY - JOUR T1 - Double $S$-Breaking Cubic Turning Points and Their Computation 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 -
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.