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Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation
Journal article   Open access  Peer reviewed

Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation

Abdul Khaliq, Irfan Mustafa, Tarek F. Ibrahim, Waleed M. Osman, Bushra R. Al-Sinan, Arafa Abdalrhim Dawood and Manal Yagoub Juma
Fractal and fractional, Vol.7(2), p.113
01/01/2023
DOI: https://doi.org/10.3390/fractalfract7020113

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
In this paper, a rational difference equation with positive parameters and non-negative conditions is used to determine the presence and direction of the Neimark-Sacker bifurcation. The neimark-Sacker bifurcation of the system is first studied using the characteristic equation. In addition, we study bifurcation invariant curves from the perspective of normal form theory. A computer simulation is used to illustrate the analytical results.
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https://doi.org/10.3390/fractalfract7020113View
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