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Codimension-2 bifurcations on the curve of the Neimark–Sacker bifurcation for a discrete-time chemical model

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Abstract

The aim of this paper is to introduce a two-dimensional discrete-time chemical model, identify its fixed points, as well as investigate one- and two-parameter bifurcations. Numerical normal forms are used in bifurcation analysis. For this model, the Neimark–Sacker and strong resonance bifurcations are observed. Based on the critical normal form coefficients, the bifurcation scenarios can be identified. Based on numerical continuation methods, we use the MATLAB package MatContM to verify the analytical results.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Shahrekord University, Shahrekord, Iran

    Zohreh Eskandari & R. Khoshsiar Ghaziani

  2. Department of Mathematics, Faculty of Science, Fasa University, Fasa, Iran

    Zohreh Eskandari

  3. Department of Mathematical Sciences, University of South Africa, Florida, South Africa

    Zakieh Avazzadeh

  4. School of Finance, Anhui University of Finance & Economics, Bengbu, 233030, Anhui, People’s Republic of China

    Bo Li

Authors
  1. Zohreh Eskandari
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  2. R. Khoshsiar Ghaziani
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  3. Zakieh Avazzadeh
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  4. Bo Li
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Correspondence to R. Khoshsiar Ghaziani.

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Eskandari, Z., Ghaziani, R.K., Avazzadeh, Z. et al. Codimension-2 bifurcations on the curve of the Neimark–Sacker bifurcation for a discrete-time chemical model. J Math Chem 61, 1063–1076 (2023). https://doi.org/10.1007/s10910-023-01449-9

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  • DOI: https://doi.org/10.1007/s10910-023-01449-9

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