Numerical bifurcation analysis of double +1 multiplier in ℤ3-symmetric maps

Reza Mazrooei-Sebdani; Zohreh Eskandari; Hil G.E. Meijer

doi:10.1080/10236198.2018.1491558

Numerical bifurcation analysis of double +1 multiplier in ℤ₃-symmetric maps

Reza Mazrooei-Sebdani^* (Corresponding Author), Zohreh Eskandari, Hil G.E. Meijer

^*Corresponding author for this work

Applied Analysis

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

We consider a resonance 1:1 bifurcation with (Formula presented.)-symmetry in a discrete-time dynamical system. We employ standard normalization and center manifold reduction techniques. With this, we obtain the normal form up to cubic order and also explicit formulas for the critical normal form coefficients. We provide an implementation of our algorithm that can be used in the numerical bifurcation toolbox MATCONTM. We illustrate our analysis with a Cournot triopoly model from economics.

Original language	English
Pages (from-to)	1402-1413
Journal	Journal of difference equations and applications
Volume	24
Issue number	9
DOIs	https://doi.org/10.1080/10236198.2018.1491558
Publication status	Published - 2 Sept 2018

Keywords

UT-Hybrid-D
Bifurcation
Z3-symmetry
Numerical continuation
Critical Normal Form
Resonance 1:1

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KW - Numerical continuation

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JF - Journal of difference equations and applications

IS - 9

ER -

Numerical bifurcation analysis of double +1 multiplier in ℤ₃-symmetric maps

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Keywords

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