On the rational recursive two sequences \(x_{n+1}=ax_{n-k}+bx_{n-k}/(cx_n+\delta dx_{n-k})\)

zbMath1227.39009MaRDI QIDQ2431298

M. A. El-Moneam, Elsayed M. E. Zayed

Publication date: 12 April 2011

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: http://www.math.ac.vn/publications/acta/35/Toc_ACTA_3_35.htm

zbMATH Keywords

convergenceperiodic solutionsnumerical exampleslocal stabilityglobal attractorrational difference equationsprime period two solution

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Related Items (7)

Global stability of a higher-order difference equation ⋮ On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\) ⋮ On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\) ⋮ Unnamed Item ⋮ On stability analysis of higher-order rational difference equation ⋮ On the rational recursive sequence \(x_{n+1}=Ax_{n}+Bx_{n-k}+\frac{\beta x_{n}+\gamma x_{n-k}}{cx_{n}+Dx_{n-k}}\) ⋮ On the rational difference equation y n + 1 = α 0 y n + α 1 y n − p + α 2 y n − q + α 3 y n − r + α 4 y n − s β 0 y n + β 1 y n − p + β 2 y n − q + β 3 y n − r + β 4 y n − s

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