On the global behavior of a high-order rational difference equation
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Publication:603290
DOI10.1016/J.CPC.2008.12.006zbMath1198.39023OpenAlexW2056848626MaRDI QIDQ603290
Mehdi Dehghan, Narges Rastegar
Publication date: 6 November 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2008.12.006
Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
Related Items (8)
On the period-two cycles of \(x_{n + 1} = (\alpha + \beta x_n + \gamma x_{n - k})/(A + Bx_n + Cx_{n - k})\) ⋮ Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping ⋮ Dynamics of a higher-order nonlinear difference equation ⋮ On the dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma\sum_{k=1}^tx_{n-2k}\prod_{k=1}^tx_{n-2k}}\) ⋮ Global stability of a rational difference equation ⋮ Dynamics of a rational difference equation ⋮ On the dynamics of the recursive sequence \(x_{n+1}=\frac{x_{n-1}}{\beta+\gamma x^2_{n-2}x_{n-4}+\gamma x_{n-2}x^2_{n-4}}\) ⋮ Stability of a rational difference equation
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