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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 5

Chaotic behaviour of maps possessing the almost average shadowing property

Mukta Garg
Ruchi Das
Pages
1371–1383
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our study is supported by providing counter-examples wherever necessary.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate the chaotic behaviour of maps having the almost average shadowing property by obtaining the relationship of the almost average shadowing property with different kinds of chaos.
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Key Findings & Data:Moreover, we relate the notion of almost average shadowing property with some other types of shadowing properties, for instance, ergodic shadowing, $\mathcal{F}_{\underline{d}}$-shadowing and $\underline{d}$-shadowing.
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Conclusion & Impact:Our study is supported by providing counter-examples wherever necessary.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:almost average shadowing property · topological entropy · chaos

Abstract

In this paper, we investigate the chaotic behaviour of maps having the almost average shadowing property by obtaining the relationship of the almost average shadowing property with different kinds of chaos. Moreover, we relate the notion of almost average shadowing property with some other types of shadowing properties, for instance, ergodic shadowing, $\mathcal{F}_{\underline{d}}$-shadowing and $\underline{d}$-shadowing. We also study the notion of almost average shadowing property for maps induced on hyperspaces. Our study is supported by providing counter-examples wherever necessary.

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Cite This Article

Garg, M., Das, R. (2022). Chaotic behaviour of maps possessing the almost average shadowing property. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 5, 1371–1383. https://ajindex.com/articles/529452

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