Erratum: A new nonlinear dynamical system that leads to eigenvalues (Q1199754)
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scientific article; zbMATH DE number 94848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Erratum: A new nonlinear dynamical system that leads to eigenvalues |
scientific article; zbMATH DE number 94848 |
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Erratum: A new nonlinear dynamical system that leads to eigenvalues (English)
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16 January 1993
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It is necessary to complete the proof of proposition 2 in the original paper [the author, ibid., No. 1, 133-139 (1992; see the paper above)]: proposition 2 only states two types of fixed points occurring on the flow. The third type of fixed points should be added. If \(L(\infty)\) is not diagonal but, under a suitable change in basis, the diagonal (or principal) blocks of \(L(\infty)\) are matrices such as (12-1) of (12-2) and any elements of off-diagonal blocks are equal to zero, then \(L(\infty)\) is also an unstable fixed point.
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flow
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diagonal blocks
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dynamical system of Lax type
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stable fixed points
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