Dynamics of a system of rational higher-order difference equation
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Publication:1956007
DOI10.1155/2013/179401zbMath1264.39007OpenAlexW2021804890WikidataQ58921412 ScholiaQ58921412MaRDI QIDQ1956007
Publication date: 13 June 2013
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/179401
Related Items
ON THE SYSTEMS OF RATIONAL 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 \(y_{n + 1} = \left(y_n + y_{n - 1}\right) / \left(p + x_n x_{n - 1}\right)\) ⋮ Qualitative study of a third order rational system of difference equations
Cites Work
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- On a system of difference equations with period two coefficients
- Observable state space realizations for multivariable systems
- On the behavior of solutions of the system of rational difference equations: \(x_{n+1} = x_{n-1}/(y_nx_{n-1}-1)\), \(y_{n+1} = y_{n-1}/(x_ny_{n-1}-1)\), and \(z_{n+1} = z_{n-1}/(y_nz_{n-1}-1)\)
- 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 behavior of a system of rational difference equations \(x_{n+1} = x_{n-1}/(y_nx_{n-1} - 1), y_{n+1} = y_{n-1}/(x_ny_{n-1} - 1), z_{n+1} = 1/x_nz_{n-1}\)
- More on three-dimensional systems of rational difference equations
- A coupled system of rational difference equations
- Global asymptotic behavior of a two-dimensional difference equation modelling competition
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