On the global periodicity of discrete dynamical systems and application to rational difference equations (Q2427258)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the global periodicity of discrete dynamical systems and application to rational difference equations |
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On the global periodicity of discrete dynamical systems and application to rational difference equations (English)
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8 May 2008
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The author considers a new necessary condition for global periodicity of discrete dynamical systems and difference equations. The author associates the discrete dynamical system to the corresponding Babbage equation. By differentiating twice the Babbage equation and applying the skillful simplification, the desired result is obtained. Especially, the necessary condition is applied to contribute to solving the problem of global periodicity for second order rational difference equations.
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discrete dynamical systems
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global periodicity
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rational difference equations
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Babbage equation
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