Discontinuity, Nonlinearity, and Complexity

---

Copy For Citation

AKHMET M., Alejaily E. M.

Discontinuity, Nonlinearity, and Complexity, vol.10, no.1, pp.135-142, 2021 (Scopus)

• Publication Type: Article / Article
• Volume: 10 Issue: 1
• Publication Date: 2021
• Doi Number: 10.5890/dnc.2021.03.009
• Journal Name: Discontinuity, Nonlinearity, and Complexity
• Journal Indexes: Scopus
• Page Numbers: pp.135-142
• Keywords: Abstract fractals, Abstract self-similarity, Chaos, Self-similar fractals
• Middle East Technical University Affiliated: Yes

Abstract

© 2021 L&H Scientific Publishing, LLC. All rights reserved.We develop a new definition of fractals which can be considered as an abstraction of the fractals determined through self-similarity. The definition is formulated through imposing conditions which govern a relation between subsets of a metric space to build a porous self-similar structure. Examples are provided to confirm that the definition satisfies a large class of self-similar fractals. The new concepts create new frontiers for fractals and chaos investigations.