A Homotopy Method of Switching Solution Branches at the Pitchfork Bifurcation Point

A Homotopy Method of Switching Solution Branches at the Pitchfork Bifurcation Point

Year:    2001

Author:    Yu-Hao Cong, Zheng-You Zhu

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 3 : pp. 299–308

Abstract

By introducing proper parameters in the original nonlinear systems, a continuation method for switching solution branches at a pitchfork point is proposed and their theories have been established in this paper. It is sufficient to implement this method that a standard continuation procedure is only used. Some numerical examples are given to illustrate the effectiveness of this method.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8982

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 3 : pp. 299–308

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Homotopy method Switching solution branches Pitchfork point.

Author Details

Yu-Hao Cong

Zheng-You Zhu