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

Author(s):

R. Mazrooei-Sebdani * , Z. Eskandari

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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
Keywords:

Bifurcation , Map , Critical Coefficients , Symmetry , Pipe flow

Language:
Persian
Published:
Iranian Journal of Physics Research (IJPR), Volume:18 Issue: 1, 2018
Pages:
125 to 137
https://magiran.com/p1834762