Dynamic behavior of a recursive sequence

DOI10.1016/j.amc.2003.08.107zbMath1069.39025OpenAlexW2070953424MaRDI QIDQ1888249

Xing-Xue Yan, Wang-Tong Li

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.107

zbMATH Keywords

global attractivitychaotic behaviorglobal asymptotic stabilitypermanenceunbounded solutionsnegative solutionsperiod-two solutionrational difference equation

Mathematics Subject Classification ID

Related Items (5)

Global asymptotic stability for a higher order nonlinear rational difference equations ⋮ On the dynamics of a rational difference equation \(x_{n+1}=\frac{\alpha+\beta x_n+\gamma x_{n-k}}{Bx_n+Cx_{n-k}}\) ⋮ Dynamics of a higher order rational difference equation ⋮ Global stability of a rational difference equation ⋮ On the rational recursive sequence \(x_{n+1}=Ax_{n}+Bx_{n-k}+\frac{\beta x_{n}+\gamma x_{n-k}}{cx_{n}+Dx_{n-k}}\)

Cites Work

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• Global attractivity in a rational recursive sequence.
• On asymptotic behaviour of the difference equation \(x_{x+1}=\alpha + \frac {x_{n-k}}{x_n}\)
• Global attractivity for a class of higher order nonlinear difference equations.
• A note on the periodic cycle of \(x_{n+2}=(1+x_{n+1})/(x_n)\)
• On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• On rational recursive sequences
• Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)
• A rational difference equation

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