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Your search keyword '"Khaliq, Abdul"' showing total 2 results
Start Over Author "Khaliq, Abdul" Topic difference equation Topic stability
2 results on '"Khaliq, Abdul"'

1. The Dynamical Behavior of a Three-Dimensional System of Exponential Difference Equations.

Author

Khaliq, Abdul, Sadiq, Stephen, Ahmed, Hala M. E., Mahmoud, Batul A. A., Al-Sinan, Bushra R., and Ibrahim, Tarek Fawzi

Subjects
*DIFFERENCE equations, *REAL numbers
Abstract

The boundedness nature and persistence, global and local behavior, and rate of convergence of positive solutions of a second-order system of exponential difference equations, is investigated in this work. Where the parameters A , B , C , α , β , γ , δ , η , and ξ are constants that are positive, and the initials U − 1 , U 0 , V − 1 , V 0 , W − 1 , and W 0 are non-negative real numbers. Some examples are provided to support our theoretical results. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation.

Author

Khaliq, Abdul, Mustafa, Irfan, Ibrahim, Tarek F., Osman, Waleed M., Al-Sinan, Bushra R., Dawood, Arafa Abdalrhim, and Juma, Manal Yagoub

Subjects
*NONLINEAR difference equations, *DIFFERENCE equations, *NONLINEAR analysis, *BIFURCATION diagrams, *COMPUTER simulation
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
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