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Stability, Neimark–Sacker Bifurcation, and Approximation of the Invariant Curve of Certain Homogeneous Second-Order Fractional Difference Equation

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  • Mirela Garić-Demirović
  • Samra Moranjkić
  • Mehmed Nurkanović
  • Zehra Nurkanović

Abstract

We investigate the local and global character of the unique equilibrium point and boundedness of the solutions of certain homogeneous fractional difference equation with quadratic terms. Also, we consider Neimark–Sacker bifurcations and give the asymptotic approximation of the invariant curve.

Suggested Citation

  • Mirela Garić-Demirović & Samra Moranjkić & Mehmed Nurkanović & Zehra Nurkanović, 2020. "Stability, Neimark–Sacker Bifurcation, and Approximation of the Invariant Curve of Certain Homogeneous Second-Order Fractional Difference Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, August.
    • Handle: RePEc:hin:jnddns:6254013
    DOI: 10.1155/2020/6254013
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