On the behavior of a system of rational difference equations \(x_{n+1} = x_{n-1}/(y_nx_{n-1} - 1), y_{n+1} = y_{n-1}/(x_ny_{n-1} - 1), z_{n+1} = 1/x_nz_{n-1}\) (Q714201)
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scientific article; zbMATH DE number 6096185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the behavior of a system of rational difference equations \(x_{n+1} = x_{n-1}/(y_nx_{n-1} - 1), y_{n+1} = y_{n-1}/(x_ny_{n-1} - 1), z_{n+1} = 1/x_nz_{n-1}\) |
scientific article; zbMATH DE number 6096185 |
Statements
On the behavior of a system of rational difference equations \(x_{n+1} = x_{n-1}/(y_nx_{n-1} - 1), y_{n+1} = y_{n-1}/(x_ny_{n-1} - 1), z_{n+1} = 1/x_nz_{n-1}\) (English)
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19 October 2012
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Summary: We are concerned with a three-dimensional system of rational difference equations with nonzero initial values. We present solutions of the system in an explicit way and obtain the asymptotical behavior of solutions.
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asymptotical behavior
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rational difference equations
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