Abstract
To prove presence of chaos for fractals, a new mathematical concept of abstract similarity is introduced. As an example, the space of symbolic strings on a finite number of symbols is proved to possess the property. Moreover, Sierpinski fractals, Koch curve as well as Cantor set satisfy the definition.
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Akhmet, M., Fen, M.O., Alejaily, E.M. (2020). Abstract Similarity, Fractals, and Chaos. In: Dynamics with Chaos and Fractals. Nonlinear Systems and Complexity, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-030-35854-9_12
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DOI: https://doi.org/10.1007/978-3-030-35854-9_12
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