Shadowing in Fuzzy Dynamical Systems

Authors

  • Safa Ali University of Babylon
  • May Alaa University of Babylon

DOI:

https://doi.org/10.31642/JoKMC/2018/100224%20

Keywords:

Fuzzy metric space, fuzzy dynamical system, fuzzy L-shadowing property, the fuzzy two-sided limit shadowing property, fuzzy negative limit shadowing property , fuzzy h-shadow.

Abstract

In this paper we introduce the notions (L- , two – sided limit shadowing, negative ) for fuzzy dynamical systems and  prove that properties (fuzzy , fuzzy L- , fuzzy two – sided limit shadowing) are invariant under fuzzy

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References

Badilla, Leonel, et al. "Topological stability for fuzzy expansive maps." FuzzySets and Systems 425 (2021): 34-47.

Molaei, Mohammad Reza. "The Concept of Synchronization from the Observer's Viewpoint." Cankaya University Journal of Science and Engineering 8.2 (2011).‏

Pilyugin, Shadowing in Dynamical Systems, Lecture Notes in Mathematics 1706, Springer, Berlin 1999.

Ahmadi, Seyyed A., and Mohammad R. Molaei. "Stochastic stability in fuzzy dynamical systems." Cankaya University Journal of Science and Engineering 9.1 (2012).

George, A., and P. Veeramani. "On some results in fuzzy metric spaces." Fuzzy sets and systems 64.3 (1994): 395-399.

Schweizer, Berthold, and Abe Sklar. "Statistical metric spaces." Pacific J. Math 10.1 (1960): 313-334.

George, A., and P. Veeramani. "On some results of analysis for fuzzy metric spaces." Fuzzy sets and systems 90.3 (1997): 365-368.

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Published

2023-08-31

How to Cite

Ali, S., & Alaa, M. (2023). Shadowing in Fuzzy Dynamical Systems. Journal of Kufa for Mathematics and Computer, 10(2), 161–166. https://doi.org/10.31642/JoKMC/2018/100224

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