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.References
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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