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Volume 19, Issue 3
A Homotopy Method of Switching Solution Branches at the Pitchfork Bifurcation Point

Yu-Hao Cong & Zheng-You Zhu

J. Comp. Math., 19 (2001), pp. 299-308.

Published online: 2001-06

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  • 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.  

  • Keywords

Homotopy method, Switching solution branches, Pitchfork point.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-299, author = {Cong , Yu-Hao and Zhu , Zheng-You}, title = {A Homotopy Method of Switching Solution Branches at the Pitchfork Bifurcation Point}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {3}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8982.html} }
TY - JOUR T1 - A Homotopy Method of Switching Solution Branches at the Pitchfork Bifurcation Point AU - Cong , Yu-Hao AU - Zhu , Zheng-You JO - Journal of Computational Mathematics VL - 3 SP - 299 EP - 308 PY - 2001 DA - 2001/06 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8982.html KW - Homotopy method, Switching solution branches, Pitchfork point. AB -

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.  

Cong , Yu-Hao and Zhu , Zheng-You. (2001). A Homotopy Method of Switching Solution Branches at the Pitchfork Bifurcation Point. Journal of Computational Mathematics. 19 (3). 299-308. doi:
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