Rodica D Costin 2008 Nonlinearity 21 2083 doi:10.1088/0951-7715/21/9/010
Analytic linearization of nonlinear perturbations of Fuchsian systems
Rodica D Costin
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Nonlinear perturbations of Fuchsian systems are studied in regions including two singularities. Such systems are not necessarily analytically equivalent to their linear part (they are not linearizable). Nevertheless, it is shown that in the case when the linear part has commuting monodromy, and the eigenvalues have positive real parts, there exists a unique correction function of the nonlinear part so that the corrected system becomes analytically linearizable.
- PACS
- MSC
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15A18 Eigenvalues, singular values, and eigenvectors
20H10 Fuchsian groups and their generalizations (See also 11F06, 22E40, 30F35, 32Nxx)
32S40 Monodromy; relations with differential equations and D-modules
- Subjects
- Dates
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Issue 9 (September 2008)
Received 10 October 2007, in final form 27 June 2008
Published 7 August 2008
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Analytic linearization of nonlinear perturbations of Fuchsian systems
Rodica D Costin 2008 Nonlinearity 21 2083
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