The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures (Q1827168)
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scientific article; zbMATH DE number 2082217
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures |
scientific article; zbMATH DE number 2082217 |
Statements
The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures (English)
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6 August 2004
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The authors investigate the global character of the solutions of the equation in the title with nonnegative parameters and initial conditions such as the global attractivity, local and global asymptotic stability of the unique positive equilibrium, the boundedness and periodic nature of the solutions.
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rational difference equation
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semicycles
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periodic solutions
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boundedness
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global asymptotic stability
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global attractivity
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0.94044584
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0.93220913
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