Discontinuity, Nonlinearity, and Complexity

AKHMET M., Alejaily E. M.

Discontinuity, Nonlinearity, and Complexity, cilt.10, sa.1, ss.135-142, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.5890/dnc.2021.03.009
  • Dergi Adı: Discontinuity, Nonlinearity, and Complexity
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.135-142
  • Anahtar Kelimeler: Abstract fractals, Abstract self-similarity, Chaos, Self-similar fractals
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 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.