On the basin of attraction of the two cycle of the difference equation

DOI10.1080/10236190701388435zbMath1127.39024OpenAlexW2127135376MaRDI QIDQ5423633

Taixiang Sun, Hongjian Xi

Publication date: 24 October 2007

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701388435

zbMATH Keywords

basin of attractionpositive equilibriumrational difference equationtwo-cycle

Mathematics Subject Classification ID

Related Items (2)

On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients ⋮ On boundedness of solutions of the difference equation \(x_{n+1}=(px_n+qx_{n - 1})/(1+x_n)\) for \(q>1+p>1\)

Cites Work

• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• Global asymptotic stability of a family of nonlinear recursive sequences
• When does periodicity destroy boundedness in rational equations?
• On the Behavior of Solutions ofx_n+1=p+(x_n−1/x_n)
• When does local asymptotic stability imply global attractivity in rational equations?
• Global behavior of solutions of the nonlinear difference equation
• On the recursive sequence
• Global asymptotic stability of a family of difference equations

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