Numerical analysis of fold-pitchfork bifurcation with Z2 symmetry and its application in the pipe flow

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Mazrooei Sebdani r.; ESKANDARI Z.

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Journal: Iranian Journal of Physics Research Year:2018 | Volume:18 | Issue:1 Page(s): 125-137

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Information Journal Paper

Title

Numerical analysis of fold-pitchfork bifurcation with Z2 symmetry and its application in the pipe flow

Author(s)

Mazrooei Sebdani r. | ESKANDARI Z. | Issue Writer Certificate

Keywords

bifurcationQ1

mapQ1

critical coefficientsQ1

symmetryQ1

pipe flowQ1

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.

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APA: Copy

Mazrooei Sebdani, r., & ESKANDARI, Z.. (2018). Numerical analysis of fold-pitchfork bifurcation with Z2 symmetry and its application in the pipe flow. IRANIAN JOURNAL OF PHYSICS RESEARCH, 18(1 ), 125-137. SID. https://sid.ir/paper/1427/en

Vancouver: Copy

Mazrooei Sebdani r., ESKANDARI Z.. Numerical analysis of fold-pitchfork bifurcation with Z2 symmetry and its application in the pipe flow. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2018;18(1 ):125-137. Available from: https://sid.ir/paper/1427/en

IEEE: Copy

r. Mazrooei Sebdani, and Z. ESKANDARI, “Numerical analysis of fold-pitchfork bifurcation with Z2 symmetry and its application in the pipe flow,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 18, no. 1 , pp. 125–137, 2018, [Online]. Available: https://sid.ir/paper/1427/en

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