Asymptotic Average Shadowing Property For Flows
Year
: 2012
Abstract: In this paper we show that if X is a compact metric space and varphi : mathbb{R} times X to X is a flow and varphi is weak uniformly almost periodic with positively asymptotic average shadowing property, then varphi is strongly ergodic. As well as corollary we show that if varphi : mathbb{R} times X to X is a Lyapunov stable flow with the asymptotic average shadowing property then varphi is not distal.
Keyword(s): Asymptotic average shadowing property
delta -average-pseudo-orbit,Lyapunov stable,strongly ergodic
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Asymptotic Average Shadowing Property For Flows
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| contributor author | علیرضا زمانی بهابادی | en |
| contributor author | Ali Reza Zamani Bahabadi | fa |
| date accessioned | 2020-06-06T13:08:31Z | |
| date available | 2020-06-06T13:08:31Z | |
| date issued | 2012 | |
| identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3343192 | |
| description abstract | In this paper we show that if X is a compact metric space and varphi : mathbb{R} times X to X is a flow and varphi is weak uniformly almost periodic with positively asymptotic average shadowing property, then varphi is strongly ergodic. As well as corollary we show that if varphi : mathbb{R} times X to X is a Lyapunov stable flow with the asymptotic average shadowing property then varphi is not distal. | en |
| language | English | |
| title | Asymptotic Average Shadowing Property For Flows | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Asymptotic average shadowing property delta -average-pseudo-orbit | en |
| subject keywords | Lyapunov stable | en |
| subject keywords | strongly ergodic | en |
| journal title | Journal of Dynamical Systems and Geometric Theories | fa |
| pages | 115-123 | |
| journal volume | 10 | |
| journal issue | 2 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1028452.html | |
| identifier articleid | 1028452 |