Discontinuity, Nonlinearity, and Complexity

Akhmet, Marat
Alejaily, Ejaily Milad
© 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.
Citation Formats
M. Akhmet and E. M. Alejaily, “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.