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Stability, Neimark-Sacker bifurcation, and approximation of the invariant curve of certain homogeneous second-order fractional difference equation - MaRDI portal

Stability, Neimark-Sacker bifurcation, and approximation of the invariant curve of certain homogeneous second-order fractional difference equation (Q2195490)

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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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    Stability, Neimark-Sacker bifurcation, and approximation of the invariant curve of certain homogeneous second-order fractional difference equation (English)
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    26 August 2020
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    Summary: 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.
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