Kumari, Sudesh; Gdawiec, Krzysztof; Nandal, Ashish; Postolache, Mihai; Chugh, Renu A novel approach to generate Mandelbrot sets, Julia sets and biomorphs via viscosity approximation method. (English) Zbl 1507.28007 Chaos Solitons Fractals 163, Article ID 112540, 21 p. (2022). MSC: 28A80 37F10 47H10 47J26 47J25 PDFBibTeX XMLCite \textit{S. Kumari} et al., Chaos Solitons Fractals 163, Article ID 112540, 21 p. (2022; Zbl 1507.28007) Full Text: DOI
Klimek, Maciej; Kosek, Marta Generalized iterated function systems, multifunctions and Cantor sets. (English) Zbl 1173.32301 Ann. Pol. Math. 96, No. 1, 25-41 (2009). Reviewer: Yuefei Wang (Beijing) MSC: 32H02 32H50 32A12 37F10 26E15 28A80 PDFBibTeX XMLCite \textit{M. Klimek} and \textit{M. Kosek}, Ann. Pol. Math. 96, No. 1, 25--41 (2009; Zbl 1173.32301) Full Text: DOI
Dufner, J.; Roser, A.; Unseld, F. Fractals and Julia sets. (Fraktale und Julia-Mengen.) (German) Zbl 0952.37001 Frankfurt am Main: Harri Deutsch. viii, 288 S. (inkl. CD-ROM) (1998). Reviewer: Walter Bergweiler (Kiel) MSC: 37-01 37F10 00A05 28A78 30D05 PDFBibTeX XMLCite \textit{J. Dufner} et al., Fraktale und Julia-Mengen. Frankfurt am Main: Harri Deutsch (1998; Zbl 0952.37001)
Mandelbrot, Benoit B. On the dynamics of iterated maps. VII: Domain-filling (”Peano”) sequences for fractal Julia sets, and an intuitive rationale for the Siegel discs. (English) Zbl 0571.58020 Chaos, fractals, and dynamics, Conf. Univ. Guelph/Can. 1981 and 1983, Lect. Notes Pure Appl. Math. 98, 243-253 (1985). Reviewer: Feliks Przytycki (Warszawa) MSC: 37F10 37F46 30D05 28A80 54F15 PDFBibTeX XML
Mandelbrot, Benoit B. On the dynamics of iterated maps. VI: Conjecture that certain Julia sets include smooth components. (English) Zbl 0571.58019 Chaos, fractals, and dynamics, Conf. Univ. Guelph/Can. 1981 and 1983, Lect. Notes Pure Appl. Math. 98, 239-242 (1985). Reviewer: Feliks Przytycki (Warszawa) MSC: 37F10 37F46 30D05 28A80 PDFBibTeX XML
Mandelbrot, Benoit B. On the dynamics of iterated maps. V: Conjecture that the boundary of the \(M\)-set has a fractal dimensional equal to 2. (English) Zbl 0571.58018 Chaos, fractals, and dynamics, Conf. Univ. Guelph/Can. 1981 and 1983, Lect. Notes Pure Appl. Math. 98, 235-238 (1985). Reviewer: Feliks Przytycki (Warszawa) MSC: 37F10 37F46 30D05 28A78 PDFBibTeX XML
Mandelbrot, Benoit B. On the dynamics of iterated maps. IV: The notion of “normalized radical” \(R\) of the \(M\)-set, and the fractal dimension of the boundary of \(R\). (English) Zbl 0571.58017 Chaos, fractals, and dynamics, Conf. Univ. Guelph/Can. 1981 and 1983, Lect. Notes Pure Appl. Math. 98, 225-234 (1985). Reviewer: Feliks Przytycki (Warszawa) MSC: 37F10 37F46 30D05 54F50 28A80 PDFBibTeX XML