Extreme growth rates of periodic orbits in flows
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- by Wenxiang Sun and Cheng Zhang
- Proc. Amer. Math. Soc. 140 (2012), 1387-1392
- DOI: https://doi.org/10.1090/S0002-9939-2011-10997-3
- Published electronically: August 5, 2011
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Abstract:
While an extreme growth rate of periodic orbits is an invariant for equivalent flows without fixed points, there exists a pair of equivalent flows with fixed points such that the growth rate of periodic orbits of one flow is infinite and that of the other is zero.References
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Bibliographic Information
- Wenxiang Sun
- Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
- MR Author ID: 315192
- Email: sunwx@math.pku.edu.cn
- Cheng Zhang
- Affiliation: School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
- Email: cesariozhang@gmail.com
- Received by editor(s): August 18, 2010
- Received by editor(s) in revised form: January 5, 2011
- Published electronically: August 5, 2011
- Additional Notes: The first author was supported by NSFC (#10831003) and the National Basic Research Program of China (973 Program) (#2006CB805903) and the National Education Ministry of China.
- Communicated by: Yingfei Yi
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1387-1392
- MSC (2010): Primary 37C15, 34C28, 37A10
- DOI: https://doi.org/10.1090/S0002-9939-2011-10997-3
- MathSciNet review: 2869122