Discontinuity, Nonlinearity, and Complexity
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.