@Article{JCM-14-8, author = {R. S. Ye and Z. H. Yang}, title = {Double $S$-Breaking Cubic Turning Points and Their Computation}, journal = {Journal of Computational Mathematics}, year = {1996}, volume = {14}, number = {1}, pages = {8--22}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9215.html} }