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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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Weak shadowing property for flows on oriented surfaces
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by Ming Li and Zhongjie Liu PDF
Proc. Amer. Math. Soc. 145 (2017), 2591-2605 Request permission

Abstract:

In this paper, we prove that on an oriented smooth closed surface, a vector field has the $(C^1)$ robustly weak shadowing property if and only if it is structurally stable.
References
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Additional Information
  • Ming Li
  • Affiliation: School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, People’s Republic of China
  • MR Author ID: 763903
  • Email: limingmath@nankai.edu.cn
  • Zhongjie Liu
  • Affiliation: School of Mathematical Sciences, Nankai University, Tianjin 300071, People’s Republic of China
  • Email: lzj0207@yeah.net
  • Received by editor(s): April 29, 2016
  • Received by editor(s) in revised form: July 28, 2016
  • Published electronically: November 29, 2016
  • Communicated by: Yingfei Yi
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 2591-2605
  • MSC (2010): Primary 37C50, 37D20; Secondary 37C10
  • DOI: https://doi.org/10.1090/proc/13436
  • MathSciNet review: 3626514