### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 14 |

Publication status | Published - Feb 2017 |

### Publication series

Name | Memorandum / Department of Applied Mathematics |
---|---|

Publisher | University of Twente, Department of Applied Mathematics |

No. | 2058 |

ISSN (Print) | 1874-4850 |

### Keywords

- EWI-27788
- IR-104021

### Cite this

*Numerical Bifurcation Analysis of Double +1 Multiplier in Z3-Symmetric Maps*. (Memorandum / Department of Applied Mathematics; No. 2058). Enschede: University of Twente, Department of Applied Mathematics.

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*Numerical Bifurcation Analysis of Double +1 Multiplier in Z3-Symmetric Maps*. Memorandum / Department of Applied Mathematics, no. 2058, University of Twente, Department of Applied Mathematics, Enschede.

**Numerical Bifurcation Analysis of Double +1 Multiplier in Z3-Symmetric Maps.** / Mazrooei-Sebdani, Reza; Eskandari, Zohreh; Meijer, Hil Gaétan Ellart.

Research output: Book/Report › Report › Other research output

TY - BOOK

T1 - Numerical Bifurcation Analysis of Double +1 Multiplier in Z3-Symmetric Maps

AU - Mazrooei-Sebdani, Reza

AU - Eskandari, Zohreh

AU - Meijer, Hil Gaétan Ellart

PY - 2017/2

Y1 - 2017/2

N2 - We consider a resonance 1:1 bifurcation with Z3-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.

AB - We consider a resonance 1:1 bifurcation with Z3-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.

KW - EWI-27788

KW - IR-104021

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Numerical Bifurcation Analysis of Double +1 Multiplier in Z3-Symmetric Maps

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -