Numerical analysis of fold-pitchfork bifurcation with symmetry and its application in the pipe flow

Iranian Journal of Physics Research

Z Eskandari¹  R Mazrooei-Sebdani¹ 

[1] Isfahan University of Technology;

关键词: Bifurcation;    Map;    Critical Coefficients;    Symmetry;    Pipe flow.;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper, we study the numerical analysis of fold-pitchfork bifurcation with Z2 symmetry. For this purpose, explicit formulas for the critical coefficients of this bifurcation are obtained and non-degeneracy conditions of this bifurcation are determined. Then, local bifurcations, bifurcation curves and phase portraits are computed by MatCont toolbox. We will emphasize an example serving as a model of pipe flow

【 授权许可】

Unknown