The expressions of solutions and the periodicity of some rational difference equations systems (Q2815520)
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scientific article; zbMATH DE number 6599518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The expressions of solutions and the periodicity of some rational difference equations systems |
scientific article; zbMATH DE number 6599518 |
Statements
29 June 2016
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recursive sequences
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stability
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periodic solution
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system
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rational difference equations
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numerical examples
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The expressions of solutions and the periodicity of some rational difference equations systems (English)
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The periodic character and the form of the solutions of some systems of third-order rational difference equations of the form NEWLINE\[NEWLINEx_{n+1}=\frac{x_{n-1}y_{n-2}}{y_{n}(-1\pm x_{n-1}y_{n-2})},\quad y_{n+1}=\frac{y_{n-1}x_{n-2}}{x_{n}(\pm 1\pm y_{n-1}x_{n-2})},NEWLINE\]NEWLINE with nonzero real numbers initial conditions is studied. Some numerical examples are given.
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