On the global behavior of \(x_{n+1}= |x_n|-y_n-1\) and \(y_{n+1} =x_n + |y_n|\) (Q2915812)
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scientific article; zbMATH DE number 6083853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the global behavior of \(x_{n+1}= |x_n|-y_n-1\) and \(y_{n+1} =x_n + |y_n|\) |
scientific article; zbMATH DE number 6083853 |
Statements
18 September 2012
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system of piecewise linear difference equations
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periodic solutions
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On the global behavior of \(x_{n+1}= |x_n|-y_n-1\) and \(y_{n+1} =x_n + |y_n|\) (English)
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For the system of difference equations in the title it is shown that every real solutions is either \(x_n= -2/5\), \(y_n= -1/5\), or eventually one of three 3-periodic solutions.
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