Dynamics of the rational difference equation \(x_{n+1}=Ax_n+Bx_{n-k}+Cx_{n-l}+\frac{bx_nx_{n-k}x_{n-l}}{dx_{n-k}-ex_{n-l}}\) (Q2927680)

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scientific article; zbMATH DE number 6365585
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English
Dynamics of the rational difference equation \(x_{n+1}=Ax_n+Bx_{n-k}+Cx_{n-l}+\frac{bx_nx_{n-k}x_{n-l}}{dx_{n-k}-ex_{n-l}}\)
scientific article; zbMATH DE number 6365585

    Statements

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    4 November 2014
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    rational difference equations
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    prime period two solution
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    boundedness character
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    global attractor
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    global stability
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    local asymptotic stability
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    positive solution
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    numerical example
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    Dynamics of the rational difference equation \(x_{n+1}=Ax_n+Bx_{n-k}+Cx_{n-l}+\frac{bx_nx_{n-k}x_{n-l}}{dx_{n-k}-ex_{n-l}}\) (English)
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