full
search.png

Search

close.png

Cancel

arrow
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

Preview Full PDF 2319 20913

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-14-8, author = {}, 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 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 & Z. H. Yang. (1970). Double $S$-Breaking Cubic Turning Points and Their Computation. Journal of Computational Mathematics. 14 (1). 8-22. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard