Shadowing in Fuzzy Dynamical Systems
DOI:
https://doi.org/10.31642/JoKMC/2018/100224%20Keywords:
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
Downloads
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.
Downloads
Published
How to Cite
Issue
Section
Categories
License
Copyright (c) 2023 Safa Ali, May Alaa
This work is licensed under a Creative Commons Attribution 4.0 International License.
