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Asymptotic behavior of a Poincaré recurrence system - MaRDI portal

Asymptotic behavior of a Poincaré recurrence system (Q1375385)

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scientific article; zbMATH DE number 1100513
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Asymptotic behavior of a Poincaré recurrence system
scientific article; zbMATH DE number 1100513

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    Asymptotic behavior of a Poincaré recurrence system (English)
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    16 August 1998
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    The author establishes asymptotic formulae for the solutions of the first order recurrence system \[ x_{n+1}= (A+B_n)x_n \] where \(x_n (n=0,1,2, \dots)\) are \(k\)-dimensional complex column vectors and \(A\) and \(B_n\) \((n=0,1,2, \dots)\) are \(k\times k\) matrices with complex entries.
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    Poincaré recurrence system
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    asymptotic formulae
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    first order recurrence system
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