Discontinuity, Nonlinearity, and Complexity

Date

2021-01-01

Author

Alejaily, Ejaily Milad
Akhmet, Marat

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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.

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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85101764170&origin=inward
https://hdl.handle.net/11511/90872

Journal

Discontinuity, Nonlinearity, and Complexity

DOI

https://doi.org/10.5890/dnc.2021.03.009

Collections

Department of Mathematics, Article

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Citation Formats

E. M. Alejaily and M. Akhmet, “Discontinuity, Nonlinearity, and Complexity,” Discontinuity, Nonlinearity, and Complexity, pp. 135–142, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85101764170&origin=inward.