On the dynamics of a higher-order rational difference equation

DOI10.1155/2011/419789zbMath1252.39006OpenAlexW2020003016WikidataQ58655474 ScholiaQ58655474MaRDI QIDQ659516

Juan-Miguel Gracia

Publication date: 23 January 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/419789

zbMATH Keywords

periodic solutionsglobal asymptotic stabilityrational difference equation

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 (5)

A solution form of a class of higher-order rational difference equations ⋮ QUALITATIVE ANALYSIS OF NONLINEAR DIFFERENCE EQUATIONS WITH A THIRTY-ORDER LAMA SH. ALJOUFI ⋮ New method to obtain periodic solutions of period two and three of a rational difference equation ⋮ Bifurcation and periodically semicycles for fractional difference equation of fifth order ⋮ Dynamical Behavior of a Third-Order Difference Equation with Arbitrary Powers

Cites Work

• On the dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma\sum_{k=1}^tx_{n-2k}\prod_{k=1}^tx_{n-2k}}\)
• Solution and attractivity for a rational recursive sequence
• The dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma x_{n-2}^p}\)
• On the periodicity of a difference equation with maximum
• On the difference equation \(x_{n+1}=\alpha +x_{n - m}/x_{n}^{k}\)
• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• On the recursive sequence \(x_{n+1}=\frac{A\Pi^k_{i=l}x_{n-2i-1}}{B+C \Pi^{k-1}_{i=l}x_{n-2i}}\)
• Ars combinatoria
• On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )
• Unnamed Item

This page was built for publication: On the dynamics of a higher-order rational difference equation