On reducible monodromies realized by reducible Fuchsian systems (Q1972807)
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scientific article; zbMATH DE number 1431891
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On reducible monodromies realized by reducible Fuchsian systems |
scientific article; zbMATH DE number 1431891 |
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On reducible monodromies realized by reducible Fuchsian systems (English)
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13 April 2000
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It is shown that under the conditions of theorems 1 and 2 in [\textit{A. A. Bolibrukh}, J. Dyn. Control Syst. 5, No. 4, 453-472 (1999; Zbl 0952.34073)], the Fuchsian systems realizing the reducible monodromy are in fact reducible systems. On the other hand, when the reducible monodromy is realized by a Fuchsian system, sufficient conditions on the monodromy matrices under which the final Fuchsian system can be chosen reducible are given.
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Fuchsian systems
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reducible monodromy
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reducible systems
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