Weak shadowing property for flows on oriented surfaces
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- by Ming Li and Zhongjie Liu
- Proc. Amer. Math. Soc. 145 (2017), 2591-2605
- DOI: https://doi.org/10.1090/proc/13436
- Published electronically: November 29, 2016
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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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Bibliographic 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