Buczolich, Zoltán; Maga, Balázs; Vértesy, Gáspár Generic Hölder level sets and fractal conductivity. (English) Zbl 1508.28006 Chaos Solitons Fractals 164, Article ID 112696, 11 p. (2022). MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{Z. Buczolich} et al., Chaos Solitons Fractals 164, Article ID 112696, 11 p. (2022; Zbl 1508.28006) Full Text: DOI arXiv
El-Dib, Yusry O.; Elgazery, Nasser S. A novel pattern in a class of fractal models with the non-perturbative approach. (English) Zbl 1508.34034 Chaos Solitons Fractals 164, Article ID 112694, 9 p. (2022). MSC: 34C15 28A80 26A33 34A08 34A34 PDFBibTeX XMLCite \textit{Y. O. El-Dib} and \textit{N. S. Elgazery}, Chaos Solitons Fractals 164, Article ID 112694, 9 p. (2022; Zbl 1508.34034) Full Text: DOI
Chandra, Subhash; Abbas, Syed Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions. (English) Zbl 1508.26005 Chaos Solitons Fractals 164, Article ID 112648, 9 p. (2022). MSC: 26A33 28A80 28A78 26A45 PDFBibTeX XMLCite \textit{S. Chandra} and \textit{S. Abbas}, Chaos Solitons Fractals 164, Article ID 112648, 9 p. (2022; Zbl 1508.26005) Full Text: DOI
Prithvi, B. V.; Katiyar, S. K. Interpolative operators: fractal to multivalued fractal. (English) Zbl 1508.28009 Chaos Solitons Fractals 164, Article ID 112449, 12 p. (2022). MSC: 28A80 47H10 54H25 PDFBibTeX XMLCite \textit{B. V. Prithvi} and \textit{S. K. Katiyar}, Chaos Solitons Fractals 164, Article ID 112449, 12 p. (2022; Zbl 1508.28009) Full Text: DOI
da Cunha, Rudnei D.; Oliveira, Elismar R. Making the computation of approximations of invariant measures and its attractors for IFS and GIFS, through the deterministic algorithm, tractable. (English) Zbl 1508.37113 Chaos Solitons Fractals 165, Part 2, Article ID 112844, 10 p. (2022). MSC: 37M25 65S05 28A80 PDFBibTeX XMLCite \textit{R. D. da Cunha} and \textit{E. R. Oliveira}, Chaos Solitons Fractals 165, Part 2, Article ID 112844, 10 p. (2022; Zbl 1508.37113) Full Text: DOI arXiv
Liu, Hongwei; He, Ping; Li, Guodong; Xu, Xiangliang; Zhong, Huiyan Multi-directional annular multi-wing chaotic system based on Julia fractals. (English) Zbl 1507.28008 Chaos Solitons Fractals 165, Part 1, Article ID 112799, 17 p. (2022). MSC: 28A80 37D45 PDFBibTeX XMLCite \textit{H. Liu} et al., Chaos Solitons Fractals 165, Part 1, Article ID 112799, 17 p. (2022; Zbl 1507.28008) Full Text: DOI
Kelty-Stephen, Damian G.; Mangalam, Madhur Fractal and multifractal descriptors restore ergodicity broken by non-Gaussianity in time series. (English) Zbl 1507.37004 Chaos Solitons Fractals 163, Article ID 112568, 14 p. (2022). MSC: 37A25 28A80 37M10 PDFBibTeX XMLCite \textit{D. G. Kelty-Stephen} and \textit{M. Mangalam}, Chaos Solitons Fractals 163, Article ID 112568, 14 p. (2022; Zbl 1507.37004) Full Text: DOI arXiv
Cui, Keqin; Ma, Wenjia; Jiang, Kan Geometric progressions meet Cantor sets. (English) Zbl 1507.28004 Chaos Solitons Fractals 163, Article ID 112567, 4 p. (2022). MSC: 28A80 11K55 PDFBibTeX XMLCite \textit{K. Cui} et al., Chaos Solitons Fractals 163, Article ID 112567, 4 p. (2022; Zbl 1507.28004) Full Text: DOI
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
Choudhury, Binayak S.; Chakraborty, Priyam Strong fixed points of \(\Phi\)-couplings and generation of fractals. (English) Zbl 1507.37052 Chaos Solitons Fractals 163, Article ID 112514, 6 p. (2022). MSC: 37E05 37C25 47H10 47J26 28A80 PDFBibTeX XMLCite \textit{B. S. Choudhury} and \textit{P. Chakraborty}, Chaos Solitons Fractals 163, Article ID 112514, 6 p. (2022; Zbl 1507.37052) Full Text: DOI
Massopust, Peter R. Fractal interpolation over nonlinear partitions. (English) Zbl 1506.28009 Chaos Solitons Fractals 162, Article ID 112503, 8 p. (2022). MSC: 28A80 41A05 47N20 PDFBibTeX XMLCite \textit{P. R. Massopust}, Chaos Solitons Fractals 162, Article ID 112503, 8 p. (2022; Zbl 1506.28009) Full Text: DOI arXiv
Ri, Mi-Gyong; Yun, Chol-Hui Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension. (English) Zbl 1506.28010 Chaos Solitons Fractals 156, Article ID 111793, 13 p. (2022). MSC: 28A80 26A33 41A05 PDFBibTeX XMLCite \textit{M.-G. Ri} and \textit{C.-H. Yun}, Chaos Solitons Fractals 156, Article ID 111793, 13 p. (2022; Zbl 1506.28010) Full Text: DOI
Aslan, Nisa; Şeker, Saliha; Saltan, Mustafa The investigation of chaos conditions of some dynamical systems on the Sierpinski propeller. (English) Zbl 1505.37047 Chaos Solitons Fractals 159, Article ID 112123, 10 p. (2022). MSC: 37D45 28A80 37C25 PDFBibTeX XMLCite \textit{N. Aslan} et al., Chaos Solitons Fractals 159, Article ID 112123, 10 p. (2022; Zbl 1505.37047) Full Text: DOI
Daza, Alvar; Wagemakers, Alexandre; Sanjuán, Miguel A. F. Classifying basins of attraction using the basin entropy. (English) Zbl 1505.37011 Chaos Solitons Fractals 159, Article ID 112112, 7 p. (2022). MSC: 37A35 28A80 28A78 PDFBibTeX XMLCite \textit{A. Daza} et al., Chaos Solitons Fractals 159, Article ID 112112, 7 p. (2022; Zbl 1505.37011) Full Text: DOI arXiv
Wang, Rui; Singh, Abhinandan Kumar; Kolan, Subash Reddy; Tsotsas, Evangelos Fractal analysis of aggregates: correlation between the 2D and 3D box-counting fractal dimension and power law fractal dimension. (English) Zbl 1504.28013 Chaos Solitons Fractals 160, Article ID 112246, 13 p. (2022). MSC: 28A80 82D20 PDFBibTeX XMLCite \textit{R. Wang} et al., Chaos Solitons Fractals 160, Article ID 112246, 13 p. (2022; Zbl 1504.28013) Full Text: DOI
Mahjoub, Amal; Attia, Najmeddine A relative vectorial multifractal formalism. (English) Zbl 1504.28012 Chaos Solitons Fractals 160, Article ID 112221, 12 p. (2022). MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{A. Mahjoub} and \textit{N. Attia}, Chaos Solitons Fractals 160, Article ID 112221, 12 p. (2022; Zbl 1504.28012) Full Text: DOI
Mohamed, Sara M.; Sayed, Wafaa S.; Said, Lobna A.; Radwan, Ahmed G. FPGA realization of fractals based on a new generalized complex logistic map. (English) Zbl 1504.68263 Chaos Solitons Fractals 160, Article ID 112215, 7 p. (2022). MSC: 68U05 28A80 37E05 PDFBibTeX XMLCite \textit{S. M. Mohamed} et al., Chaos Solitons Fractals 160, Article ID 112215, 7 p. (2022; Zbl 1504.68263) Full Text: DOI
Jiang, Kai; Liu, Zhifeng; Tian, Yang; Zhang, Tao; Yang, Congbin An estimation method of fractal parameters on rough surfaces based on the exact spectral moment using artificial neural network. (English) Zbl 1504.65083 Chaos Solitons Fractals 161, Article ID 112366, 11 p. (2022). MSC: 65E05 28A80 68T07 PDFBibTeX XMLCite \textit{K. Jiang} et al., Chaos Solitons Fractals 161, Article ID 112366, 11 p. (2022; Zbl 1504.65083) Full Text: DOI
Deng, Qirong; Li, Mingtian; Yao, Yonghua Continuous dependence on parameters of self-affine sets and measures. (English) Zbl 1504.28008 Chaos Solitons Fractals 161, Article ID 112309, 7 p. (2022). MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{Q. Deng} et al., Chaos Solitons Fractals 161, Article ID 112309, 7 p. (2022; Zbl 1504.28008) Full Text: DOI
Tsvetkov, V. P.; Mikheev, S. A.; Tsvetkov, I. V.; Derbov, V. L.; Gusev, A. A.; Vinitsky, S. I. Modeling the multifractal dynamics of COVID-19 pandemic. (English) Zbl 1504.92162 Chaos Solitons Fractals 161, Article ID 112301, 9 p. (2022). MSC: 92D30 34K37 28A80 PDFBibTeX XMLCite \textit{V. P. Tsvetkov} et al., Chaos Solitons Fractals 161, Article ID 112301, 9 p. (2022; Zbl 1504.92162) Full Text: DOI
Negi, Shekhar Singh; Torra, Vicenç \(\Delta\)-Choquet integral on time scales with applications. (English) Zbl 1498.26089 Chaos Solitons Fractals 157, Article ID 111969, 25 p. (2022). MSC: 26E70 28E10 26A42 PDFBibTeX XMLCite \textit{S. S. Negi} and \textit{V. Torra}, Chaos Solitons Fractals 157, Article ID 111969, 25 p. (2022; Zbl 1498.26089) Full Text: DOI
Pereira de Sá, Luiz Alberto; Zielinski, Kallil M. C.; Oliveira Rodrigues, Érick; Backes, André R.; Florindo, João B.; Casanova, Dalcimar A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks. (English) Zbl 1498.28018 Chaos Solitons Fractals 157, Article ID 111894, 10 p. (2022). MSC: 28A80 05C82 PDFBibTeX XMLCite \textit{L. A. Pereira de Sá} et al., Chaos Solitons Fractals 157, Article ID 111894, 10 p. (2022; Zbl 1498.28018) Full Text: DOI
Viswanathan, P. A revisit to smoothness preserving fractal perturbation of a bivariate function: self-referential counterpart to bicubic splines. (English) Zbl 1498.41008 Chaos Solitons Fractals 157, Article ID 111885, 8 p. (2022). MSC: 41A15 41A63 65D07 28A80 PDFBibTeX XMLCite \textit{P. Viswanathan}, Chaos Solitons Fractals 157, Article ID 111885, 8 p. (2022; Zbl 1498.41008) Full Text: DOI
Klinga, Paweł; Kwela, Adam Comparison of the sets of attractors for systems of contractions and weak contractions. (English) Zbl 1498.28012 Chaos Solitons Fractals 155, Article ID 111764, 6 p. (2022). MSC: 28A80 26A18 PDFBibTeX XMLCite \textit{P. Klinga} and \textit{A. Kwela}, Chaos Solitons Fractals 155, Article ID 111764, 6 p. (2022; Zbl 1498.28012) Full Text: DOI arXiv
Chen, Yanguang Normalizing and classifying shape indexes of cities by ideas from fractals. (English) Zbl 1498.28008 Chaos Solitons Fractals 154, Article ID 111653, 9 p. (2022). MSC: 28A80 PDFBibTeX XMLCite \textit{Y. Chen}, Chaos Solitons Fractals 154, Article ID 111653, 9 p. (2022; Zbl 1498.28008) Full Text: DOI arXiv
Abbas, Mujahid; Anjum, Rizwan; Iqbal, Hira Generalized enriched cyclic contractions with application to generalized iterated function system. (English) Zbl 1506.47086 Chaos Solitons Fractals 154, Article ID 111591, 9 p. (2022). MSC: 47H09 47H10 47J26 28A80 PDFBibTeX XMLCite \textit{M. Abbas} et al., Chaos Solitons Fractals 154, Article ID 111591, 9 p. (2022; Zbl 1506.47086) Full Text: DOI
Yu, Dakuan; Ta, Wurui; Zhou, Youhe Fractal diffusion patterns of periodic points in the Mandelbrot set. (English) Zbl 1498.37080 Chaos Solitons Fractals 153, Part 1, Article ID 111599, 9 p. (2021). MSC: 37F46 28A80 PDFBibTeX XMLCite \textit{D. Yu} et al., Chaos Solitons Fractals 153, Part 1, Article ID 111599, 9 p. (2021; Zbl 1498.37080) Full Text: DOI
Xiong, Yangshou; Zhou, Zongshan; Huang, Kang; Cheng, Zhenbang; Han, Guangzhi An improved fractal model for tangential contact damping of high contact ratio gear considering friction effect. (English) Zbl 1498.70022 Chaos Solitons Fractals 153, Part 2, Article ID 111510, 12 p. (2021). MSC: 70F40 28A80 PDFBibTeX XMLCite \textit{Y. Xiong} et al., Chaos Solitons Fractals 153, Part 2, Article ID 111510, 12 p. (2021; Zbl 1498.70022) Full Text: DOI
Jia, Qi; Chen, Chen; Ma, Ying; Lei, Lei; Jiang, Kan Conditional bi-Lipschitz equivalence of self-similar sets. (English) Zbl 1498.28010 Chaos Solitons Fractals 153, Part 2, Article ID 111479, 8 p. (2021). MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{Q. Jia} et al., Chaos Solitons Fractals 153, Part 2, Article ID 111479, 8 p. (2021; Zbl 1498.28010) Full Text: DOI
Navascués, M. A. New equilibria of non-autonomous discrete dynamical systems. (English) Zbl 1506.37029 Chaos Solitons Fractals 152, Article ID 111413, 8 p. (2021). MSC: 37C25 26A18 28A80 37B25 37B55 PDFBibTeX XMLCite \textit{M. A. Navascués}, Chaos Solitons Fractals 152, Article ID 111413, 8 p. (2021; Zbl 1506.37029) Full Text: DOI
Zenteno-Catemaxca, Rolando; Moguel-Castañeda, Jazael G.; Rivera, Victor M.; Puebla, Hector; Hernandez-Martinez, Eliseo Monitoring a chemical reaction using pH measurements: an approach based on multiscale fractal analysis. (English) Zbl 1498.92353 Chaos Solitons Fractals 152, Article ID 111336, 9 p. (2021). MSC: 92E20 92C40 28A80 PDFBibTeX XMLCite \textit{R. Zenteno-Catemaxca} et al., Chaos Solitons Fractals 152, Article ID 111336, 9 p. (2021; Zbl 1498.92353) Full Text: DOI
Telli, Şahin; Chen, Hongzhuan Multifractal behavior relationship between crypto markets and Wikipedia-Reddit online platforms. (English) Zbl 1498.91513 Chaos Solitons Fractals 152, Article ID 111331, 12 p. (2021). MSC: 91G99 28A80 91B44 PDFBibTeX XMLCite \textit{Ş. Telli} and \textit{H. Chen}, Chaos Solitons Fractals 152, Article ID 111331, 12 p. (2021; Zbl 1498.91513) Full Text: DOI
Joseph, Annie Julie; Pournami, P. N. Multifractal theory based breast tissue characterization for early detection of breast cancer. (English) Zbl 1498.92107 Chaos Solitons Fractals 152, Article ID 111301, 11 p. (2021). MSC: 92C55 28A80 PDFBibTeX XMLCite \textit{A. J. Joseph} and \textit{P. N. Pournami}, Chaos Solitons Fractals 152, Article ID 111301, 11 p. (2021; Zbl 1498.92107) Full Text: DOI
Karimui, Reza Yaghoobi A new approach to measure the fractal dimension of a trajectory in the high-dimensional phase space. (English) Zbl 1498.28011 Chaos Solitons Fractals 151, Article ID 111239, 7 p. (2021). MSC: 28A80 PDFBibTeX XMLCite \textit{R. Y. Karimui}, Chaos Solitons Fractals 151, Article ID 111239, 7 p. (2021; Zbl 1498.28011) Full Text: DOI
Ri, SongIl A remarkable fact for the box dimensions of fractal interpolation curves of \(\mathbb{R}^3\). (English) Zbl 1498.28020 Chaos Solitons Fractals 151, Article ID 111205, 12 p. (2021). MSC: 28A80 PDFBibTeX XMLCite \textit{S. Ri}, Chaos Solitons Fractals 151, Article ID 111205, 12 p. (2021; Zbl 1498.28020) Full Text: DOI
Ri, Mi-Gyong; Yun, Chol-Hui; Kim, Myong-Hun Construction of cubic spline hidden variable recurrent fractal interpolation function and its fractional calculus. (English) Zbl 1498.28019 Chaos Solitons Fractals 150, Article ID 111177, 11 p. (2021). MSC: 28A80 26A33 41A05 PDFBibTeX XMLCite \textit{M.-G. Ri} et al., Chaos Solitons Fractals 150, Article ID 111177, 11 p. (2021; Zbl 1498.28019) Full Text: DOI
Abdulaziz, Abdulrahman; Said, Judy On the contraction ratio of iterated function systems whose attractors are Sierpinski \(n\)-gons. (English) Zbl 1498.28006 Chaos Solitons Fractals 150, Article ID 111140, 5 p. (2021). MSC: 28A80 PDFBibTeX XMLCite \textit{A. Abdulaziz} and \textit{J. Said}, Chaos Solitons Fractals 150, Article ID 111140, 5 p. (2021; Zbl 1498.28006) Full Text: DOI
Li, Yuanyuan; Fan, jiaqi; Xi, Lifeng Average geodesic distance on stretched Sierpiński gasket. (English) Zbl 1498.28014 Chaos Solitons Fractals 150, Article ID 111120, 5 p. (2021). MSC: 28A80 PDFBibTeX XMLCite \textit{Y. Li} et al., Chaos Solitons Fractals 150, Article ID 111120, 5 p. (2021; Zbl 1498.28014) Full Text: DOI
Jena, Bidu Bhusan; Paikray, Susanta Kumar; Dutta, Hemen A new approach to Korovkin-type approximation via deferred Cesàro statistical measurable convergence. (English) Zbl 1485.40009 Chaos Solitons Fractals 148, Article ID 111016, 9 p. (2021). MSC: 40G15 28A20 41A36 40A05 PDFBibTeX XMLCite \textit{B. B. Jena} et al., Chaos Solitons Fractals 148, Article ID 111016, 9 p. (2021; Zbl 1485.40009) Full Text: DOI
Altun, Ishak; Sahin, Hakan; Aslantas, Mustafa A new approach to fractals via best proximity point. (English) Zbl 1498.28007 Chaos Solitons Fractals 146, Article ID 110850, 7 p. (2021). MSC: 28A80 47H10 54H25 PDFBibTeX XMLCite \textit{I. Altun} et al., Chaos Solitons Fractals 146, Article ID 110850, 7 p. (2021; Zbl 1498.28007) Full Text: DOI
Wang, Wen-Ya; Chen, Hui-Qin; Guo, Zhong-Kai The points with dense orbit under the \(\beta\)-expansions of different bases. (English) Zbl 1498.11167 Chaos Solitons Fractals 146, Article ID 110840, 6 p. (2021). MSC: 11K55 28A80 37A44 PDFBibTeX XMLCite \textit{W.-Y. Wang} et al., Chaos Solitons Fractals 146, Article ID 110840, 6 p. (2021; Zbl 1498.11167) Full Text: DOI
Mitra, Tushar; Hossain, Tomal; Banerjee, Santo; Hassan, Md. Kamrul Similarity and self-similarity in random walk with fixed, random and shrinking steps. (English) Zbl 1498.60169 Chaos Solitons Fractals 145, Article ID 110790, 8 p. (2021). MSC: 60G50 28A80 35K10 82C41 PDFBibTeX XMLCite \textit{T. Mitra} et al., Chaos Solitons Fractals 145, Article ID 110790, 8 p. (2021; Zbl 1498.60169) Full Text: DOI arXiv
Yao, Kui; Chen, Haotian; Peng, W. L.; Wang, Zekun; Yao, Jia; Wu, Yipeng A new method on box dimension of Weyl-Marchaud fractional derivative of Weierstrass function. (English) Zbl 1496.26007 Chaos Solitons Fractals 142, Article ID 110317, 6 p. (2021). MSC: 26A33 26A27 28A80 PDFBibTeX XMLCite \textit{K. Yao} et al., Chaos Solitons Fractals 142, Article ID 110317, 6 p. (2021; Zbl 1496.26007) Full Text: DOI
Miculescu, Radu; Mihail, Alexandru; Urziceanu, Silviu-Aurelian Contractive affine generalized iterated function systems which are topologically contracting. (English) Zbl 1496.28009 Chaos Solitons Fractals 141, Article ID 110404, 9 p. (2020). MSC: 28A80 PDFBibTeX XMLCite \textit{R. Miculescu} et al., Chaos Solitons Fractals 141, Article ID 110404, 9 p. (2020; Zbl 1496.28009) Full Text: DOI
Wu, Bo; Zhang, Zhizhuo The average trapping time on a half Sierpinski gasket. (English) Zbl 1495.82011 Chaos Solitons Fractals 140, Article ID 110261, 7 p. (2020). MSC: 82B41 28A80 05C81 PDFBibTeX XMLCite \textit{B. Wu} and \textit{Z. Zhang}, Chaos Solitons Fractals 140, Article ID 110261, 7 p. (2020; Zbl 1495.82011) Full Text: DOI
Khelifi, Mounir; Lotfi, Hela; Samti, Amal; Selmi, Bilel A relative multifractal analysis. (English) Zbl 1495.28006 Chaos Solitons Fractals 140, Article ID 110091, 11 p. (2020). MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{M. Khelifi} et al., Chaos Solitons Fractals 140, Article ID 110091, 11 p. (2020; Zbl 1495.28006) Full Text: DOI
Koparal, Fatma Diğdem; Özdemir, Yunus; Çelik, Derya; Koçak, Şahin Realization of a snowflaked interval as a Euclidean self-similar set. (English) Zbl 1490.28008 Chaos Solitons Fractals 139, Article ID 110187, 7 p. (2020). MSC: 28A80 28A75 54C10 PDFBibTeX XMLCite \textit{F. D. Koparal} et al., Chaos Solitons Fractals 139, Article ID 110187, 7 p. (2020; Zbl 1490.28008) Full Text: DOI
Levkov, D. G.; Maslov, V. E.; Nugaev, E. Ya. Chaotic solitons in driven sine-Gordon model. (English) Zbl 1490.35376 Chaos Solitons Fractals 139, Article ID 110079, 11 p. (2020). MSC: 35Q51 35C08 37B40 28D20 PDFBibTeX XMLCite \textit{D. G. Levkov} et al., Chaos Solitons Fractals 139, Article ID 110079, 11 p. (2020; Zbl 1490.35376) Full Text: DOI arXiv
García-Sandoval, J. P. Fractals and discrete dynamics associated to prime numbers. (English) Zbl 1490.39025 Chaos Solitons Fractals 139, Article ID 110029, 11 p. (2020). MSC: 39A33 39A21 11A41 28A80 PDFBibTeX XMLCite \textit{J. P. García-Sandoval}, Chaos Solitons Fractals 139, Article ID 110029, 11 p. (2020; Zbl 1490.39025) Full Text: DOI
Ri, SongIl Fractal functions on the Sierpinski gasket. (English) Zbl 1490.28013 Chaos Solitons Fractals 138, Article ID 110142, 10 p. (2020). MSC: 28A80 41A05 PDFBibTeX XMLCite \textit{S. Ri}, Chaos Solitons Fractals 138, Article ID 110142, 10 p. (2020; Zbl 1490.28013) Full Text: DOI
Karaca, Yeliz; Moonis, Majaz; Baleanu, Dumitru Fractal and multifractional-based predictive optimization model for stroke subtypes’ classification. (English) Zbl 1489.42022 Chaos Solitons Fractals 136, Article ID 109820, 21 p. (2020). MSC: 42C40 28A80 94A12 65T60 PDFBibTeX XMLCite \textit{Y. Karaca} et al., Chaos Solitons Fractals 136, Article ID 109820, 21 p. (2020; Zbl 1489.42022) Full Text: DOI
Zuo, Xue; Tang, Xiang; Zhou, Yuankai Influence of sampling length on estimated fractal dimension of surface profile. (English) Zbl 1489.94023 Chaos Solitons Fractals 135, Article ID 109755, 6 p. (2020). MSC: 94A08 28A80 PDFBibTeX XMLCite \textit{X. Zuo} et al., Chaos Solitons Fractals 135, Article ID 109755, 6 p. (2020; Zbl 1489.94023) Full Text: DOI
Luor, Dah-Chin On the distributions of fractal functions that interpolate data points with Gaussian noise. (English) Zbl 1489.65022 Chaos Solitons Fractals 135, Article ID 109743, 4 p. (2020). MSC: 65D05 65C30 28A80 41A05 41A30 PDFBibTeX XMLCite \textit{D.-C. Luor}, Chaos Solitons Fractals 135, Article ID 109743, 4 p. (2020; Zbl 1489.65022) Full Text: DOI
Grahovac, Danijel Multifractal processes: definition, properties and new examples. (English) Zbl 1483.60059 Chaos Solitons Fractals 134, Article ID 109735, 11 p. (2020). MSC: 60G18 60G57 28A80 60G15 PDFBibTeX XMLCite \textit{D. Grahovac}, Chaos Solitons Fractals 134, Article ID 109735, 11 p. (2020; Zbl 1483.60059) Full Text: DOI arXiv
Yun, CholHui; Ri, MiGyong Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors. (English) Zbl 1483.41001 Chaos Solitons Fractals 134, Article ID 109700, 10 p. (2020). MSC: 41A05 41A30 28A80 26A27 PDFBibTeX XMLCite \textit{C. Yun} and \textit{M. Ri}, Chaos Solitons Fractals 134, Article ID 109700, 10 p. (2020; Zbl 1483.41001) Full Text: DOI arXiv
Nicolás-Carlock, J. R.; Solano-Altamirano, J. M.; Carrillo-Estrada, J. L. The dynamics of the angular and radial density correlation scaling exponents in fractal to non-fractal morphodynamics. (English) Zbl 1483.37115 Chaos Solitons Fractals 133, Article ID 109649, 9 p. (2020). MSC: 37N99 58Z05 28A80 PDFBibTeX XMLCite \textit{J. R. Nicolás-Carlock} et al., Chaos Solitons Fractals 133, Article ID 109649, 9 p. (2020; Zbl 1483.37115) Full Text: DOI arXiv
Balankin, Alexander S. Fractional space approach to studies of physical phenomena on fractals and in confined low-dimensional systems. (English) Zbl 1434.28011 Chaos Solitons Fractals 132, Article ID 109572, 13 p. (2020). MSC: 28A80 60G50 PDFBibTeX XMLCite \textit{A. S. Balankin}, Chaos Solitons Fractals 132, Article ID 109572, 13 p. (2020; Zbl 1434.28011) Full Text: DOI
Atangana, Abdon; Mekkaoui, Toufik Trinition the complex number with two imaginary parts: fractal, chaos and fractional calculus. (English) Zbl 1483.39008 Chaos Solitons Fractals 128, 366-381 (2019). MSC: 39A33 11R52 28A80 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{T. Mekkaoui}, Chaos Solitons Fractals 128, 366--381 (2019; Zbl 1483.39008) Full Text: DOI
Wang, Yupin; Liu, Shutang; Li, Hui; Wang, Da On the spatial Julia set generated by fractional Lotka-Volterra system with noise. (English) Zbl 1483.28011 Chaos Solitons Fractals 128, 129-138 (2019). MSC: 28A80 37F10 34A08 PDFBibTeX XMLCite \textit{Y. Wang} et al., Chaos Solitons Fractals 128, 129--138 (2019; Zbl 1483.28011) Full Text: DOI
Klinga, Paweł; Kwela, Adam; Staniszewski, Marcin Size of the set of attractors for iterated function systems. (English) Zbl 1484.28009 Chaos Solitons Fractals 128, 104-107 (2019). MSC: 28A80 26A18 28A78 PDFBibTeX XMLCite \textit{P. Klinga} et al., Chaos Solitons Fractals 128, 104--107 (2019; Zbl 1484.28009) Full Text: DOI
Yang, Xu; Liang, Yingjie; Chen, Wen A fractal roughness model for the transport of fractional non-Newtonian fluid in microtubes. (English) Zbl 1448.76015 Chaos Solitons Fractals 126, 236-241 (2019). MSC: 76A05 28A80 PDFBibTeX XMLCite \textit{X. Yang} et al., Chaos Solitons Fractals 126, 236--241 (2019; Zbl 1448.76015) Full Text: DOI
Menceur, Mohamed; Ben Mabrouk, Anouar A joint multifractal analysis of vector valued non Gibbs measures. (English) Zbl 1448.28005 Chaos Solitons Fractals 126, 203-217 (2019). MSC: 28A78 28A80 60B05 PDFBibTeX XMLCite \textit{M. Menceur} and \textit{A. Ben Mabrouk}, Chaos Solitons Fractals 126, 203--217 (2019; Zbl 1448.28005) Full Text: DOI
Panigrahy, Chinmaya; Seal, Ayan; Mahato, Nihar Kumar; Bhattacharjee, Debotosh Differential box counting methods for estimating fractal dimension of gray-scale images: a survey. (English) Zbl 1448.65020 Chaos Solitons Fractals 126, 178-202 (2019). MSC: 65D19 68U10 28A78 65-02 PDFBibTeX XMLCite \textit{C. Panigrahy} et al., Chaos Solitons Fractals 126, 178--202 (2019; Zbl 1448.65020) Full Text: DOI
Aslan, Nisa; Saltan, Mustafa; Demir, Bünyamin The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron. (English) Zbl 1448.28007 Chaos Solitons Fractals 123, 422-428 (2019). MSC: 28A80 37D45 37B10 PDFBibTeX XMLCite \textit{N. Aslan} et al., Chaos Solitons Fractals 123, 422--428 (2019; Zbl 1448.28007) Full Text: DOI
Douzi, Zied; Selmi, Bilel Regularities of general Hausdorff and packing functions. (English) Zbl 1448.28004 Chaos Solitons Fractals 123, 240-243 (2019). MSC: 28A78 28A20 PDFBibTeX XMLCite \textit{Z. Douzi} and \textit{B. Selmi}, Chaos Solitons Fractals 123, 240--243 (2019; Zbl 1448.28004) Full Text: DOI
Neunhäuserer, Jörg Fractal attractors induced by \(\beta\)-shifts. (English) Zbl 1448.37006 Chaos Solitons Fractals 123, 87-90 (2019). MSC: 37A44 37B10 28A80 28D20 PDFBibTeX XMLCite \textit{J. Neunhäuserer}, Chaos Solitons Fractals 123, 87--90 (2019; Zbl 1448.37006) Full Text: DOI arXiv
Ri, SongIl DUPLICATE: New types of fractal interpolation surfaces. (English) Zbl 1448.37034 Chaos Solitons Fractals 123, 52-58 (2019). MSC: 37C45 28A80 PDFBibTeX XMLCite \textit{S. Ri}, Chaos Solitons Fractals 123, 52--58 (2019; Zbl 1448.37034) Full Text: DOI
Petruşel, Adrian; Petruşel, Gabriela Coupled fractal dynamics via Meir-Keeler operators. (English) Zbl 1448.54031 Chaos Solitons Fractals 122, 206-212 (2019). MSC: 54H25 54E40 54E50 28A80 PDFBibTeX XMLCite \textit{A. Petruşel} and \textit{G. Petruşel}, Chaos Solitons Fractals 122, 206--212 (2019; Zbl 1448.54031) Full Text: DOI
Khajehnejad, Moein Efficiency of long-range navigation on treelike fractals. (English) Zbl 1448.05186 Chaos Solitons Fractals 122, 102-110 (2019). MSC: 05C81 05C05 60G51 28A80 PDFBibTeX XMLCite \textit{M. Khajehnejad}, Chaos Solitons Fractals 122, 102--110 (2019; Zbl 1448.05186) Full Text: DOI
Satin, Seema; Gangal, A. D. Random walk and broad distributions on fractal curves. (English) Zbl 1448.60101 Chaos Solitons Fractals 127, 17-23 (2019). MSC: 60G50 28A80 PDFBibTeX XMLCite \textit{S. Satin} and \textit{A. D. Gangal}, Chaos Solitons Fractals 127, 17--23 (2019; Zbl 1448.60101) Full Text: DOI arXiv
Lőrinczi, József; Yang, Xiaochuan Multifractal properties of sample paths of ground state-transformed jump processes. (English) Zbl 1448.60170 Chaos Solitons Fractals 120, 83-94 (2019). MSC: 60J76 60G17 60G51 28A78 47D08 47G20 PDFBibTeX XMLCite \textit{J. Lőrinczi} and \textit{X. Yang}, Chaos Solitons Fractals 120, 83--94 (2019; Zbl 1448.60170) Full Text: DOI arXiv Link
Chen, Haipeng Assouad dimensions and spectra of Moran cut-out sets. (English) Zbl 1448.28008 Chaos Solitons Fractals 119, 310-317 (2019). MSC: 28A80 PDFBibTeX XMLCite \textit{H. Chen}, Chaos Solitons Fractals 119, 310--317 (2019; Zbl 1448.28008) Full Text: DOI
Ri, Songil New types of fractal interpolation surfaces. (English) Zbl 1448.37033 Chaos Solitons Fractals 119, 291-297 (2019). MSC: 37C45 28A80 PDFBibTeX XMLCite \textit{S. Ri}, Chaos Solitons Fractals 119, 291--297 (2019; Zbl 1448.37033) Full Text: DOI
Ramirez-Arellano, Aldo; Bermúdez-Gómez, Salvador; Hernández-Simón, Luis Manuel; Bory-Reyes, Juan D-summable fractal dimensions of complex networks. (English) Zbl 1451.28006 Chaos Solitons Fractals 119, 210-214 (2019). MSC: 28A80 90B10 PDFBibTeX XMLCite \textit{A. Ramirez-Arellano} et al., Chaos Solitons Fractals 119, 210--214 (2019; Zbl 1451.28006) Full Text: DOI
Luor, Dah-Chin On some qualitative analysis for a new class of fractal interpolants. (English) Zbl 1448.41003 Chaos Solitons Fractals 119, 55-62 (2019). MSC: 41A05 28A80 PDFBibTeX XMLCite \textit{D.-C. Luor}, Chaos Solitons Fractals 119, 55--62 (2019; Zbl 1448.41003) Full Text: DOI
Sánchez-Granero, M. A.; Fernández-Martínez, Manuel Irreducible fractal structures for Moran type theorems. (English) Zbl 1448.28012 Chaos Solitons Fractals 119, 29-36 (2019). MSC: 28A80 37B10 28A78 PDFBibTeX XMLCite \textit{M. A. Sánchez-Granero} and \textit{M. Fernández-Martínez}, Chaos Solitons Fractals 119, 29--36 (2019; Zbl 1448.28012) Full Text: DOI arXiv
Dumitru, Dan Dendrite-type attractors of IFSs formed by two injective functions. (English) Zbl 1442.28007 Chaos Solitons Fractals 116, 433-438 (2018). MSC: 28A80 54F50 PDFBibTeX XMLCite \textit{D. Dumitru}, Chaos Solitons Fractals 116, 433--438 (2018; Zbl 1442.28007) Full Text: DOI
Dlask, Martin; Kukal, Jaromir Translation and rotation invariant method of Renyi dimension estimation. (English) Zbl 1415.65005 Chaos Solitons Fractals 114, 536-541 (2018). MSC: 37D45 28D20 65C05 PDFBibTeX XMLCite \textit{M. Dlask} and \textit{J. Kukal}, Chaos Solitons Fractals 114, 536--541 (2018; Zbl 1415.65005) Full Text: DOI
Deniz, Ali; Çakmak, Gökçe On the smallest disks enclosing graph-directed fractals. (English) Zbl 1415.28002 Chaos Solitons Fractals 114, 483-490 (2018). MSC: 28A80 65D18 PDFBibTeX XMLCite \textit{A. Deniz} and \textit{G. Çakmak}, Chaos Solitons Fractals 114, 483--490 (2018; Zbl 1415.28002) Full Text: DOI
Wei, Chun; Wu, Min; Wang, Shuailing On the recurrence rates of continued fractions. (English) Zbl 1415.28004 Chaos Solitons Fractals 114, 474-477 (2018). MSC: 28A80 37B35 PDFBibTeX XMLCite \textit{C. Wei} et al., Chaos Solitons Fractals 114, 474--477 (2018; Zbl 1415.28004) Full Text: DOI
Bartoszewicz, Artur; Filipczak, Małgorzata; Głąb, Szymon; Prus-Wiśniowski, Franciszek; Swaczyna, Jarosław On generating regular Cantorvals connected with geometric Cantor sets. (English) Zbl 1415.40001 Chaos Solitons Fractals 114, 468-473 (2018). MSC: 40A05 11B05 28A80 PDFBibTeX XMLCite \textit{A. Bartoszewicz} et al., Chaos Solitons Fractals 114, 468--473 (2018; Zbl 1415.40001) Full Text: DOI arXiv
Luor, Dah-Chin Fractal interpolation functions for random data sets. (English) Zbl 1415.28003 Chaos Solitons Fractals 114, 256-263 (2018). MSC: 28A80 41A05 PDFBibTeX XMLCite \textit{D.-C. Luor}, Chaos Solitons Fractals 114, 256--263 (2018; Zbl 1415.28003) Full Text: DOI
Miličić, Siniša Box-counting dimensions of generalised fractal nests. (English) Zbl 1404.28007 Chaos Solitons Fractals 113, 125-134 (2018). MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{S. Miličić}, Chaos Solitons Fractals 113, 125--134 (2018; Zbl 1404.28007) Full Text: DOI arXiv
Jakubska-Busse, Anna; Janowicz, Maciej W.; Ochnio, L.; Ashbourn, J. M. A. Pickover biomorphs and non-standard complex numbers. (English) Zbl 1404.37053 Chaos Solitons Fractals 113, 46-52 (2018). MSC: 37F99 28A80 PDFBibTeX XMLCite \textit{A. Jakubska-Busse} et al., Chaos Solitons Fractals 113, 46--52 (2018; Zbl 1404.37053) Full Text: DOI Link
He, Jia; Xue, Yumei Scale-free and small-world properties of hollow cube networks. (English) Zbl 1404.90040 Chaos Solitons Fractals 113, 11-15 (2018). MSC: 90B10 05C82 28A80 PDFBibTeX XMLCite \textit{J. He} and \textit{Y. Xue}, Chaos Solitons Fractals 113, 11--15 (2018; Zbl 1404.90040) Full Text: DOI
Chen, Zhiying; Liu, Yong; Zhou, Ping A comparative study of fractal dimension calculation methods for rough surface profiles. (English) Zbl 1394.28005 Chaos Solitons Fractals 112, 24-30 (2018). MSC: 28A80 PDFBibTeX XMLCite \textit{Z. Chen} et al., Chaos Solitons Fractals 112, 24--30 (2018; Zbl 1394.28005) Full Text: DOI
Huang, Lingling Doubling metric Diophantine approximation in the dynamical system of continued fractions. (English) Zbl 1392.11054 Chaos Solitons Fractals 106, 72-75 (2018). MSC: 11K55 11J83 28A80 PDFBibTeX XMLCite \textit{L. Huang}, Chaos Solitons Fractals 106, 72--75 (2018; Zbl 1392.11054) Full Text: DOI
Yang, Jiaojiao; Wu, Min; Zhang, Yiwei Quasi-Lipschitz mapping, correlation and local dimensions. (English) Zbl 1380.28007 Chaos Solitons Fractals 105, 224-229 (2017). MSC: 28A78 30C65 PDFBibTeX XMLCite \textit{J. Yang} et al., Chaos Solitons Fractals 105, 224--229 (2017; Zbl 1380.28007) Full Text: DOI
Capitanelli, Raffaela; Pocci, Cristina On the effective interfacial resistance through quasi-filling fractal layers. (English) Zbl 1380.35114 Chaos Solitons Fractals 105, 43-50 (2017). MSC: 35K05 35R05 28A80 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{C. Pocci}, Chaos Solitons Fractals 105, 43--50 (2017; Zbl 1380.35114) Full Text: DOI
Peng, Fengji; Wang, Wen; Wen, Shengyou On Assouad dimension of products. (English) Zbl 1380.54022 Chaos Solitons Fractals 104, 192-197 (2017). MSC: 54F45 54E35 28A80 PDFBibTeX XMLCite \textit{F. Peng} et al., Chaos Solitons Fractals 104, 192--197 (2017; Zbl 1380.54022) Full Text: DOI
de Amo, Enrique; Díaz Carrillo, Manuel; Fernández-Sánchez, Juan Pisot numbers and strong negations. (English) Zbl 1380.11006 Chaos Solitons Fractals 104, 61-67 (2017). MSC: 11A63 28E10 28D05 PDFBibTeX XMLCite \textit{E. de Amo} et al., Chaos Solitons Fractals 104, 61--67 (2017; Zbl 1380.11006) Full Text: DOI
Yang, Jiaojiao; Käenmäki, Antti; Wu, Min A note on correlation and local dimensions. (English) Zbl 1380.28001 Chaos Solitons Fractals 97, 39-43 (2017). MSC: 28A12 54E35 PDFBibTeX XMLCite \textit{J. Yang} et al., Chaos Solitons Fractals 97, 39--43 (2017; Zbl 1380.28001) Full Text: DOI arXiv
Dubarry, Blandine A class of iterated function systems with adapted piecewise constant transition probabilities: asymptotic stability and Hausdorff dimension of the invariant measure. (English) Zbl 1375.60115 Chaos Solitons Fractals 103, 602-612 (2017). MSC: 60J05 37B10 37A30 28A78 28A80 PDFBibTeX XMLCite \textit{B. Dubarry}, Chaos Solitons Fractals 103, 602--612 (2017; Zbl 1375.60115) Full Text: DOI
Harikrishnan, K. P.; Misra, R.; Ambika, G. Is a hyperchaotic attractor superposition of two multifractals? (English) Zbl 1375.37108 Chaos Solitons Fractals 103, 450-459 (2017). MSC: 37D45 28A80 34C28 37M10 PDFBibTeX XMLCite \textit{K. P. Harikrishnan} et al., Chaos Solitons Fractals 103, 450--459 (2017; Zbl 1375.37108) Full Text: DOI arXiv
Nasim Akhtar, Md.; Guru Prem Prasad, M.; Navascués, M. A. Box dimension of \(\alpha\)-fractal function with variable scaling factors in subintervals. (English) Zbl 1375.28011 Chaos Solitons Fractals 103, 440-449 (2017). MSC: 28A78 41A05 PDFBibTeX XMLCite \textit{Md. Nasim Akhtar} et al., Chaos Solitons Fractals 103, 440--449 (2017; Zbl 1375.28011) Full Text: DOI
Attia, Najmeddine; Selmi, Bilel; Souissi, Chouhaïd Some density results of relative multifractal analysis. (English) Zbl 1375.28007 Chaos Solitons Fractals 103, 1-11 (2017). MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{N. Attia} et al., Chaos Solitons Fractals 103, 1--11 (2017; Zbl 1375.28007) Full Text: DOI
Atangana, Abdon Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. (English) Zbl 1374.28002 Chaos Solitons Fractals 102, 396-406 (2017). MSC: 28A33 65D30 65D25 PDFBibTeX XMLCite \textit{A. Atangana}, Chaos Solitons Fractals 102, 396--406 (2017; Zbl 1374.28002) Full Text: DOI
Dlask, Martin; Kukal, Jaromir Application of rotational spectrum for correlation dimension estimation. (English) Zbl 1373.28008 Chaos Solitons Fractals 99, 256-262 (2017). MSC: 28A80 65C05 PDFBibTeX XMLCite \textit{M. Dlask} and \textit{J. Kukal}, Chaos Solitons Fractals 99, 256--262 (2017; Zbl 1373.28008) Full Text: DOI
Golmankhaneh, Alireza K.; Tunc, Cemil On the Lipschitz condition in the fractal calculus. (English) Zbl 1373.34009 Chaos Solitons Fractals 95, 140-147 (2017). MSC: 34A08 26A33 28A80 PDFBibTeX XMLCite \textit{A. K. Golmankhaneh} and \textit{C. Tunc}, Chaos Solitons Fractals 95, 140--147 (2017; Zbl 1373.34009) Full Text: DOI
Llorente, Marta; Eugenia Mera, M.; Morán, Manuel Rate of convergence: the packing and centered Hausdorff measures of totally disconnected self-similar sets. (English) Zbl 1372.28003 Chaos Solitons Fractals 98, 220-232 (2017). MSC: 28A75 28A80 PDFBibTeX XMLCite \textit{M. Llorente} et al., Chaos Solitons Fractals 98, 220--232 (2017; Zbl 1372.28003) Full Text: DOI arXiv Link