Asymptotic behavior of solutions of Poincaré recurrence systems (Q1334606)
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scientific article; zbMATH DE number 641673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of solutions of Poincaré recurrence systems |
scientific article; zbMATH DE number 641673 |
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Asymptotic behavior of solutions of Poincaré recurrence systems (English)
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21 September 1994
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Sufficient conditions are given for the Poincaré recurrence system \(y(m + 1) = (A + P(m))y(m)\) to have a solution \(\widehat y(m) = \lambda_ r^ m [v^{(r)} + O (\alpha^{-m} \Phi (m))]\) where \(\lambda_ r\) \((r = 1, \dots, n)\) are the eigenvalues of the matrix \(A\) and \(v^{(r)}\) are the corresponding eigenvectors.
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Poincaré recurrence system
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