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

Reza Mazrooei-Sebdani, Zohreh Eskandari, Hil Gaétan Ellart Meijer

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    Abstract

    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.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages14
    Publication statusPublished - Feb 2017

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.2058
    ISSN (Print)1874-4850

    Keywords

    • EWI-27788
    • IR-104021

    Cite this

    Mazrooei-Sebdani, R., Eskandari, Z., & Meijer, H. G. E. (2017). 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.