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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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Differentiable conjugacy of the Poincaré type vector fields on $\mathbf \{R\}^3$
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by Jiazhong Yang PDF
Proc. Amer. Math. Soc. 131 (2003), 2715-2720 Request permission

Abstract:

We prove that on ${\mathbf R}^3$, except for those germs of vector fields whose linear parts are conjugated to $\lambda x\partial /\partial x +\lambda y \partial /\partial y +2\lambda z \partial /\partial z$, any two Poincaré type vector fields are at least $C^3$ conjugated to each other provided their linear approximations have the same eigenvalues and the nonlinear parts are generic.
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Additional Information
  • Jiazhong Yang
  • Affiliation: MAM, Institute of Mathematics, Peking University, Beijing, 100871, People’s Republic of China
  • Email: yang@sxx0.math.pku.edu.cn, jyang@math.pku.edu.cn
  • Received by editor(s): August 20, 2000
  • Published electronically: April 23, 2003
  • Communicated by: Jozef Dodziuk
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 2715-2720
  • MSC (2000): Primary 34K17, 37C15
  • DOI: https://doi.org/10.1090/S0002-9939-03-07140-5
  • MathSciNet review: 1974327