Linearization of resonant vector fields
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- by J. Basto-Gonçalves PDF
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Abstract:
A method allowing the formal linearization of a large class of vector fields with resonant eigenvalues is presented, the admissible nonlinearities being characterized by conditions that are easy to check. This method also gives information on the terms that are actually present in a nonlinear normal form of a given resonant vector field.References
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Additional Information
- J. Basto-Gonçalves
- Affiliation: Centro de Matemática, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal
- Email: jbg@fc.up.pt
- Received by editor(s): September 22, 2008
- Published electronically: August 3, 2010
- Additional Notes: This research had financial support from the Fundação para a Ciência e a Tecnologia and the Calouste Gulbenkian Foundation
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 362 (2010), 6457-6476
- MSC (2010): Primary 32S65, 34M35
- DOI: https://doi.org/10.1090/S0002-9947-2010-04978-5
- MathSciNet review: 2678982