Year: 1991
Author: Zhong-Hua Yang
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 2 : pp. 149–154
Abstract
To overcome the difficulty caused by the singularity at the pitchfork bifurcation points, we introduce the homotopy parameter so that the problem of computing the pitchfork bifurcation points can be transferred to that of computing the fold points of degree 3 with respect to the homotopy parameter. An extended system for pitchfork bifurcation points is given. The regularity of the extended system is proved. Finally, the numerical examples show the effectiveness of our method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1991-JCM-9387
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 2 : pp. 149–154
Published online: 1991-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6