Global asymptotic stability of a system of difference equations

DOI10.1080/00036810802140657zbMath1146.39024OpenAlexW1997596060WikidataQ58274189 ScholiaQ58274189MaRDI QIDQ3532643

Dağıstan Şimşek, Cengiz Çinar, İbrahim Yalçinkaya

Publication date: 28 October 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802140657

zbMATH Keywords

global asymptotic stabilitysystemequilibrium pointrational difference equationsemicycle

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (20)

On the behavior of solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}-1}\), \(y_{n+1}=\frac{y_{n-1}}{x_n y_{n-1}-1}\), \(z_{n+1}=\frac{1}{y_nz_n}\) ⋮ Global behavior of a three-dimensional system of difference equations of order three ⋮ On some symmetric systems of difference equations ⋮ Global stability of a higher-order difference equation ⋮ Stability and Periodic Nature of a System of Difference Equations ⋮ On a system of \(k\)-difference equations of order three ⋮ Global character of a six-dimensional nonlinear system of difference equations ⋮ Unnamed Item ⋮ Periodic solutions of a system of nonlinear difference equations with periodic coefficients ⋮ Solution for rational systems of difference equations of order three ⋮ The form of the solutions and periodicity of some systems of difference equations ⋮ Unnamed Item ⋮ Dynamics of a three-dimensional systems of rational difference equations ⋮ Solution for systems of difference equations of rational form of order two ⋮ On the global asymptotic stability of a second-order system of difference equations ⋮ On a general homogeneous three-dimensional system of difference equations ⋮ Unnamed Item ⋮ On the behavior of the solutions of an abstract system of difference equations ⋮ A detailed study on a solvable system related to the linear fractional difference equation ⋮ Global asymptotic stability of a second-order system of difference equations

Cites Work

• On a system of two nonlinear difference equations
• On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}
• Point Bifurcations and Bubbles for a Cubic Family
• On a Class of Difference Equations with Strong Negative Feedback

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