Double $S$-Breaking Cubic Turning Points and Their Computation

Double $S$-Breaking Cubic Turning Points and Their Computation

Year:    1996

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JCM-9215

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 1 : pp. 8–22

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords: