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On ergodic shadowing and specification properties of nonautonomous discrete dynamical systems | ||
| Journal of Mahani Mathematical Research | ||
| دوره 10، شماره 1، مرداد 2021، صفحه 1-10 اصل مقاله (475.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.15567.1114 | ||
| نویسندگان | ||
| Zahra Shabani Siahkalde* ؛ Seyyed Alireza Ahmadi | ||
| Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Sistan and ;Baluchestan, Zahedan, Iran. | ||
| چکیده | ||
| We show that a nonautonomous discrete-time dynamical system (NDS) with the ergodic shadowing property is chain mixing. As a result, it is obtained that a $ k $-periodic NDS with the ergodic shadowing property has the shadowing property. In particular, any $ k $-periodic NDS on intervals having the ergodic shadowing is Devaney chaotic. Additionally, we prove that for an equicontinuous NDS with the shadowing property, the notions of topologically mixing, pseudo-orbital specification, weak specification property, and ergodic shadowing property are equivalent. | ||
| کلیدواژهها | ||
| Nonautonomous discrete systems؛ Ergodic shadowing؛ Specafiaction property؛ topologically mixing | ||
| مراجع | ||
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