Dynamics with Fractals

Date

2021-01-01

Author

Akhmet, Marat
Fen, Mehmet Onur
Alejaily, Ejaily Milad

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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When deterministically extended structures are taken into consideration, it is admissible that fractals are dense both in the nature and in the dynamics. In particular, this is true because fractal structures are closely related to chaos. To make advances in the direction, first of all, one should consider fractals as states of dynamics. If one realizes this approach, fractals will be proved to be dense in the universe, since modeling the real world is based on differential equations and their developments.

Subject Keywords

Discrete and continuous fractal dynamics, Fatou-Julia iterations, Fractal mapping iterations, Fractal mapping theorem, Julia and Mandelbrot sets

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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85141121360&origin=inward
https://hdl.handle.net/11511/106871

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Department of Mathematics, Article