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Volume 14, Issue 1
Double $S$-Breaking Cubic Turning Points and Their Computation

R. S. Ye & Z. H. Yang

J. Comp. Math., 14 (1996), pp. 8-22.

Published online: 1996-02

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  • 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.

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@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} }
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 -

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.

R. S. Ye and Z. H. Yang. (1996). Double $S$-Breaking Cubic Turning Points and Their Computation. Journal of Computational Mathematics. 14 (1). 8-22. doi:
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