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Asymptotic Average Shadowing Property for Flows
Alireza Zamani Bahabadizamany@um.ac.irDepartment of MathematicsFerdowsi University of MashhadMashhad, IranView full profile →
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- Received:
- 19 Jul 2011
- Accepted:
- 21 Mar 2012
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2012.10698613
- Pages:
- 115–123
Abstract
In this paper we show that if X is a compact metric space and φ : ℝ × X → X is a flow and φ is weak uniformly almost periodic with positively asymptotic average shadowing property, then φ is strongly ergodic. As well as corollary we show that if φ : ℝ × X → X is a Lyapunov stable flow with the asymptotic average shadowing property then φ is not distal.
Keywords
References
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