On the behavior of a system of rational difference equations \(x_{n+1} = x_{n-1}/(y_nx_{n-1} - 1), y_{n+1} = y_{n-1}/(x_ny_{n-1} - 1), z_{n+1} = 1/x_nz_{n-1}\)
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Publication:714201
DOI10.1155/2012/105496zbMath1248.39013OpenAlexW1491110796WikidataQ58700319 ScholiaQ58700319MaRDI QIDQ714201
Liu Keying, Li Peng, Wei Zhiqiang, Zhong Weizhou
Publication date: 19 October 2012
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/105496
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Global behavior of two-dimensional difference equations system with two period coefficients ⋮ 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
Cites Work
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- 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 \(z_{n+1} = z_{n-1}/(y_nz_{n-1}-1)\)
- More on three-dimensional systems of rational difference equations
- On a system of difference equations
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