More on three-dimensional systems of rational difference equations

DOI10.1155/2011/178483zbMath1382.39013OpenAlexW2160842196WikidataQ58655426 ScholiaQ58655426MaRDI QIDQ764533

Li Peng, Li Xiaorui, Liu Keying, Zhao Zhongjian

Publication date: 13 March 2012

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

Full work available at URL: https://doi.org/10.1155/2011/178483

Mathematics Subject Classification ID

Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (11)

Global behavior of two-dimensional difference equations system with two period coefficients ⋮ On the solutions of some nonlinear systems of difference equations ⋮ Global dynamics of rational difference equations \(x_{n + 1} = \left(x_n + x_{n - 1}\right) / \left(q + y_n y_{n - 1}\right)\) and \(y_{n + 1} = \left(y_n + y_{n - 1}\right) / \left(p + x_n x_{n - 1}\right)\) ⋮ Dynamics of a system of rational higher-order difference equation ⋮ Qualitative behavior of rational difference equation of big order ⋮ Global attractor of solutions of a rational system in the plane ⋮ Unnamed Item ⋮ On a system of two high-order nonlinear difference equations ⋮ On the behavior of a system of rational difference equations \(x_{n+1} = x_{n-1}/(y_nx_{n-1} - 1), y_{n+1} = y_{n-1}/(x_ny_{n-1} - 1), z_{n+1} = 1/x_nz_{n-1}\) ⋮ On the solutions of three-dimensional rational difference equation systems ⋮ PERIODICITY AND SOLUTIONS OF SOME RATIONAL DIFFERENCE EQUATIONS SYSTEMS

Cites Work

• On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
• On the system of rational difference equations \(x_n=a/y_{n-3}\), \(y_n=by_{n-3}/x_{n-q}y_{n-q}\)

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