On difference equations with powers as solutions and their connection with invariant curves (Q531636)
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scientific article; zbMATH DE number 5880218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On difference equations with powers as solutions and their connection with invariant curves |
scientific article; zbMATH DE number 5880218 |
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On difference equations with powers as solutions and their connection with invariant curves (English)
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19 April 2011
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The authors look for a system of nonlinear difference equations that have power functions as solutions. The elements defining the solutions verify a special case of the so-called ``equation of invariant curves''. A connection to self-reversed polynomials is also established. For a particular equation of invariant curves, some algebraic solutions are constructed.
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self-reversed polynomials
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system of nonlinear difference equations
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power functions as solutions
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equation of invariant curves
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