Abstract similarity, fractals and chaos
نویسندگان
چکیده
A new mathematical concept of abstract similarity is introduced and illustrated in the space infinite strings on a finite number symbols. The problem chaos presence for Sierpinski fractals, Koch curve, as well Cantor set solved by considering natural map. This accomplished Poincaré, Li-Yorke Devaney chaos, including multi-dimensional cases. Original numerical simulations illustrating results are presented.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B
سال: 2021
ISSN: ['1531-3492', '1553-524X']
DOI: https://doi.org/10.3934/dcdsb.2020191