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Fractal Atomicity, a Fundamental Concept in the Dynamics of Complex Systems

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13th Chaotic Modeling and Simulation International Conference (CHAOS 2020)

Part of the book series: Springer Proceedings in Complexity ((SPCOM))

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Abstract

Applying a fractal method of analyzing the dynamics of the structural units of any complex system, a mathematical concept is built, namely that of fractal atomicity. The construction of such a concept involves defining dynamic variables in the form of fractal functions, defining scale resolutions, defining a principle of scale covariance as a fundamental principle of motion, equations of evolution, etc. Finally, some specific mathematical properties of the fractal atom are also established.

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Author information

Authors and Affiliations

  1. Department of Physics, “Gheorghe Asachi” Technical University from Iaşi, Iaşi, Romania

    Maricel Agop

  2. Faculty of Mathematics, “Alexandru Ioan Cuza” University of Iaşi, Iaşi, Romania

    Alina Gavriluţ

  3. N. Oblu Clinical Emergency Hospital Iaşi, Iaşi, Romania

    Lucian Eva

  4. Faculty of Psychology and Education Sciences, “Alexandru Ioan Cuza” of Iaşi, Iaşi, Romania

    Gabriel Crumpei

Authors
  1. Maricel Agop
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  2. Alina Gavriluţ
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  3. Lucian Eva
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  4. Gabriel Crumpei
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Corresponding author

Correspondence to Alina Gavriluţ .

Editor information

Editors and Affiliations

  1. ManLab, Technical University of Crete, Chania, Greece

    Christos H. Skiadas

  2. Department of Management Science and Technology, Hellenic Mediterranean University, Agios Nikolaos, Crete, Lasithi, Greece

    Yiannis Dimotikalis

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Agop, M., Gavriluţ, A., Eva, L., Crumpei, G. (2021). Fractal Atomicity, a Fundamental Concept in the Dynamics of Complex Systems. In: Skiadas, C.H., Dimotikalis, Y. (eds) 13th Chaotic Modeling and Simulation International Conference. CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_3

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