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NEW FRACTAL SETS COINED FROM FRACTIONAL MAPS.
- Source :
-
Fractals . Dec2021, Vol. 29 Issue 8, p1-12. 12p. - Publication Year :
- 2021
-
Abstract
- This paper proposes a criterion for fractionalizing traditional fractal sets, and reports several fractional generalizations of the Julia set and Mandelbrot set of the classic quadratic map. The discrepancies among those extensions are investigated preliminarily. The influence of the map's memory effect on its fractal sets is discussed through visualization techniques and dimension analysis. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FRACTALS
*FRACTAL analysis
*FRACTIONAL calculus
Subjects
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 29
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 155256643
- Full Text :
- https://doi.org/10.1142/S0218348X21502704