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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Analytic linearizability of some resonant vector fields
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by J. Basto-Gonçalves and I. Cruz PDF
Proc. Amer. Math. Soc. 129 (2001), 2473-2481 Request permission

Abstract:

A method allowing the linearization of vector fields with resonant eigenvalues is presented, the admissible nonlinearities being characterized by conditions that are easy to check.
References
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Additional Information
  • J. Basto-Gonçalves
  • Affiliation: Departamento de Matemática Aplicada, Centro de Matemática Aplicada da Universidade do Porto, R. das Taipas, 135, 4050-600 Porto, Portugal
  • Email: jbgoncal@fc.up.pt
  • I. Cruz
  • Affiliation: Departamento de Matemática Aplicada, Centro de Matemática Aplicada da Universidade do Porto, R. das Taipas, 135, 4050-600 Porto, Portugal
  • Email: imcruz@fc.up.pt
  • Received by editor(s): August 16, 1999
  • Received by editor(s) in revised form: December 7, 1999
  • Published electronically: December 7, 2000
  • Additional Notes: The first author’s research was supported by JNICT, and by the Calouste Gulbenkian Foundation.
    The second author’s research was supported by JNICT
  • Communicated by: Carmen Chicone
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2473-2481
  • MSC (1991): Primary 58F36, 32S65, 34A20, 34A34
  • DOI: https://doi.org/10.1090/S0002-9939-00-05796-8
  • MathSciNet review: 1823934