Journal articles on the topic 'Mandelbrot sets'
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LIU, XIANG-DONG, ZHI-JIE LI, XUE-YE ANG, and JIN-HAI ZHANG. "MANDELBROT AND JULIA SETS OF ONE-PARAMETER RATIONAL FUNCTION FAMILIES ASSOCIATED WITH NEWTON'S METHOD." Fractals 18, no. 02 (June 2010): 255–63. http://dx.doi.org/10.1142/s0218348x10004841.
Jha, Ketan, and Mamta Rani. "Control of Dynamic Noise in Transcendental Julia and Mandelbrot Sets by Superior Iteration Method." International Journal of Natural Computing Research 7, no. 2 (April 2018): 48–59. http://dx.doi.org/10.4018/ijncr.2018040104.
Tassaddiq, Asifa, Muhammad Tanveer, Muhammad Azhar, Waqas Nazeer, and Sania Qureshi. "A Four Step Feedback Iteration and Its Applications in Fractals." Fractal and Fractional 6, no. 11 (November 9, 2022): 662. http://dx.doi.org/10.3390/fractalfract6110662.
KOZMA, ROBERT T., and ROBERT L. DEVANEY. "Julia sets converging to filled quadratic Julia sets." Ergodic Theory and Dynamical Systems 34, no. 1 (August 21, 2012): 171–84. http://dx.doi.org/10.1017/etds.2012.115.
Yan, De Jun, Xiao Dan Wei, Hong Peng Zhang, Nan Jiang, and Xiang Dong Liu. "Fractal Structures of General Mandelbrot Sets and Julia Sets Generated from Complex Non-Analytic Iteration Fm(z)=z¯m+c." Applied Mechanics and Materials 347-350 (August 2013): 3019–23. http://dx.doi.org/10.4028/www.scientific.net/amm.347-350.3019.
Kauko, Virpi. "Shadow trees of Mandelbrot sets." Fundamenta Mathematicae 180, no. 1 (2003): 35–87. http://dx.doi.org/10.4064/fm180-1-4.
Sun, Y. Y., and X. Y. Wang. "Noise-perturbed quaternionic Mandelbrot sets." International Journal of Computer Mathematics 86, no. 12 (December 2009): 2008–28. http://dx.doi.org/10.1080/00207160903131228.
Wang, Xingyuan, Zhen Wang, Yahui Lang, and Zhenfeng Zhang. "Noise perturbed generalized Mandelbrot sets." Journal of Mathematical Analysis and Applications 347, no. 1 (November 2008): 179–87. http://dx.doi.org/10.1016/j.jmaa.2008.04.032.
Sekovanov, Valeriy S., Larisa B. Rybina, and Kseniya Yu Strunkina. "The study of the frames of Mandelbrot sets of polynomials of the second degree as a means of developing the originality of students' thinking." Vestnik Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics, no. 4 (2019): 193–99. http://dx.doi.org/10.34216/2073-1426-2019-25-4-193-199.
Wang, Feng Ying, Li Ming Du, and Zi Yang Han. "The Construction for Generalized Mandelbrot Sets of the Frieze Group." Advanced Materials Research 756-759 (September 2013): 2562–66. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.2562.
Ashish, Mamta Rani, and Renu Chugh. "Julia sets and Mandelbrot sets in Noor orbit." Applied Mathematics and Computation 228 (February 2014): 615–31. http://dx.doi.org/10.1016/j.amc.2013.11.077.
CHEN, YI-CHIUAN, TOMOKI KAWAHIRA, HUA-LUN LI, and JUAN-MING YUAN. "FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS II: JULIA SETS." International Journal of Bifurcation and Chaos 21, no. 01 (January 2011): 77–99. http://dx.doi.org/10.1142/s0218127411028295.
Jha, Ketan, and Mamta Rani. "Estimation of Dynamic Noise in Mandelbrot Map." International Journal of Artificial Life Research 7, no. 2 (July 2017): 1–20. http://dx.doi.org/10.4018/ijalr.2017070101.
Mork, Leah K., and Darin J. Ulness. "Visualization of Mandelbrot and Julia Sets of Möbius Transformations." Fractal and Fractional 5, no. 3 (July 17, 2021): 73. http://dx.doi.org/10.3390/fractalfract5030073.
DOLOTIN, V., and A. MOROZOV. "ON THE SHAPES OF ELEMENTARY DOMAINS OR WHY MANDELBROT SET IS MADE FROM ALMOST IDEAL CIRCLES?" International Journal of Modern Physics A 23, no. 22 (September 10, 2008): 3613–84. http://dx.doi.org/10.1142/s0217751x08040330.
WANG, XING-YUAN, QING-YONG LIANG, and JUAN MENG. "CHAOS AND FRACTALS IN C–K MAP." International Journal of Modern Physics C 19, no. 09 (September 2008): 1389–409. http://dx.doi.org/10.1142/s0129183108012935.
LIAW, SY-SANG. "FIND THE MANDELBROT-LIKE SETS IN ANY MAPPING." Fractals 10, no. 02 (June 2002): 137–46. http://dx.doi.org/10.1142/s0218348x02001282.
YAN, DEJUN, XIANGDONG LIU, and WEIYONG ZHU. "A STUDY OF MANDELBROT AND JULIA SETS GENERATED FROM A GENERAL COMPLEX CUBIC ITERATION." Fractals 07, no. 04 (December 1999): 433–37. http://dx.doi.org/10.1142/s0218348x99000438.
Bandt, Christoph, and Nguyen Viet Hung. "Fractaln-gons and their Mandelbrot sets." Nonlinearity 21, no. 11 (October 10, 2008): 2653–70. http://dx.doi.org/10.1088/0951-7715/21/11/009.
SHIAH, AICHYUN, KIM-KHOON ONG, and ZDZISLAW E. MUSIELAK. "FRACTAL IMAGES OF GENERALIZED MANDELBROT SETS." Fractals 02, no. 01 (March 1994): 111–21. http://dx.doi.org/10.1142/s0218348x94000107.
Pickover, Clifford A. "A note on inverted mandelbrot sets." Visual Computer 6, no. 4 (July 1990): 227–29. http://dx.doi.org/10.1007/bf02341047.
Zhang, Yongping, and Weihua Sun. "Synchronization and coupling of Mandelbrot sets." Nonlinear Dynamics 64, no. 1-2 (October 9, 2010): 59–63. http://dx.doi.org/10.1007/s11071-010-9845-9.
Wang, Xing-yuan, Pei-jun Chang, and Ni-ni Gu. "Additive perturbed generalized Mandelbrot–Julia sets." Applied Mathematics and Computation 189, no. 1 (June 2007): 754–65. http://dx.doi.org/10.1016/j.amc.2006.11.137.
BUCHANAN, WALTER, JAGANNATHAN GOMATAM, and BONNIE STEVES. "GENERALIZED MANDELBROT SETS FOR MEROMORPHIC COMPLEX AND QUATERNIONIC MAPS." International Journal of Bifurcation and Chaos 12, no. 08 (August 2002): 1755–77. http://dx.doi.org/10.1142/s0218127402005443.
Abbas, Mujahid, Hira Iqbal, and Manuel De la Sen. "Generation of Julia and Mandelbrot Sets via Fixed Points." Symmetry 12, no. 1 (January 2, 2020): 86. http://dx.doi.org/10.3390/sym12010086.
Zou, Cui, Abdul Aziz Shahid, Asifa Tassaddiq, Arshad Khan, and Maqbool Ahmad. "Mandelbrot Sets and Julia Sets in Picard-Mann Orbit." IEEE Access 8 (2020): 64411–21. http://dx.doi.org/10.1109/access.2020.2984689.
Farris, Salma M. "Generalized Mandelbrot Sets of a Family of Polynomials P n z = z n + z + c ; n ≥ 2." International Journal of Mathematics and Mathematical Sciences 2022 (February 22, 2022): 1–9. http://dx.doi.org/10.1155/2022/4510088.
Wang, Feng Ying, Li Ming Du, and Zi Yang Han. "Two Partitioning Algorithms for Generating of M Sets of the Frieze Group." Applied Mechanics and Materials 336-338 (July 2013): 2238–41. http://dx.doi.org/10.4028/www.scientific.net/amm.336-338.2238.
Cai, Zong Wen, and Artde D. Kin Tak Lam. "A Study on Mandelbrot Sets to Generate Visual Aesthetic Fractal Patterns." Applied Mechanics and Materials 311 (February 2013): 111–16. http://dx.doi.org/10.4028/www.scientific.net/amm.311.111.
WANG, XINGYUAN, QINGYONG LIANG, and JUAN MENG. "DYNAMIC ANALYSIS OF THE CAROTID–KUNDALINI MAP." Modern Physics Letters B 22, no. 04 (February 10, 2008): 243–62. http://dx.doi.org/10.1142/s0217984908014717.
PEHERSTORFER, FRANZ, and CHRISTOPH STROH. "JULIA AND MANDELBROT SETS OF CHEBYSHEV FAMILIES." International Journal of Bifurcation and Chaos 11, no. 09 (September 2001): 2463–81. http://dx.doi.org/10.1142/s0218127401003577.
Kang, Shinmin, Arif Rafiq, Abdul Latif, Abdul Shahid, and Faisal Alif. "Fractals through modified iteration scheme." Filomat 30, no. 11 (2016): 3033–46. http://dx.doi.org/10.2298/fil1611033k.
Cheng, Jin, and Jian-rong Tan. "Generalization of 3D Mandelbrot and Julia sets." Journal of Zhejiang University-SCIENCE A 8, no. 1 (January 2007): 134–41. http://dx.doi.org/10.1631/jzus.2007.a0134.
Qi, Hengxiao, Muhammad Tanveer, Muhammad Shoaib Saleem, and Yuming Chu. "Anti Mandelbrot Sets via Jungck-M Iteration." IEEE Access 8 (2020): 194663–75. http://dx.doi.org/10.1109/access.2020.3033733.
Álvarez, G., M. Romera, G. Pastor, and F. Montoya. "Determination of Mandelbrot Sets Hyperbolic Component Centres." Chaos, Solitons & Fractals 9, no. 12 (December 1998): 1997–2005. http://dx.doi.org/10.1016/s0960-0779(98)00046-0.
Beck, Christian. "Physical meaning for Mandelbrot and Julia sets." Physica D: Nonlinear Phenomena 125, no. 3-4 (January 1999): 171–82. http://dx.doi.org/10.1016/s0167-2789(98)00243-7.
Agarwal, Rashi, and Vishal Agarwal. "Dynamic noise perturbed generalized superior Mandelbrot sets." Nonlinear Dynamics 67, no. 3 (July 13, 2011): 1883–91. http://dx.doi.org/10.1007/s11071-011-0115-2.
Zhang, Yong-Ping. "Feedback control and synchronization of Mandelbrot sets." Chinese Physics B 22, no. 1 (January 2013): 010502. http://dx.doi.org/10.1088/1674-1056/22/1/010502.
Endler, Antonio, and Paulo C. Rech. "From Mandelbrot-like sets to Arnold tongues." Applied Mathematics and Computation 222 (October 2013): 559–63. http://dx.doi.org/10.1016/j.amc.2013.08.001.
Blankers, Vance, Tristan Rendfrey, Aaron Shukert, and Patrick Shipman. "Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers." Fractal and Fractional 3, no. 1 (February 20, 2019): 6. http://dx.doi.org/10.3390/fractalfract3010006.
Romera, M., G. Pastor, A. B. Orue, D. Arroyo, and F. Montoya. "Coupling Patterns of External Arguments in the Multiple-Spiral Medallions of the Mandelbrot Set." Discrete Dynamics in Nature and Society 2009 (2009): 1–14. http://dx.doi.org/10.1155/2009/135637.
WANG, XING-YUAN, and LI-NA GU. "RESEARCH FRACTAL STRUCTURES OF GENERALIZED M-J SETS USING THREE ALGORITHMS." Fractals 16, no. 01 (March 2008): 79–88. http://dx.doi.org/10.1142/s0218348x08003764.
Mork, L. K., Trenton Vogt, Keith Sullivan, Drew Rutherford, and Darin J. Ulness. "Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions." Fractal and Fractional 3, no. 3 (July 12, 2019): 42. http://dx.doi.org/10.3390/fractalfract3030042.
ROCHON, DOMINIC. "A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS." Fractals 08, no. 04 (December 2000): 355–68. http://dx.doi.org/10.1142/s0218348x0000041x.
Chandra, Joshi, Mamta Rani, and Naveen Chandra. "Transcendental Picard-Mann hybrid Julia and Mandelbrot sets." Mathematica Moravica 23, no. 1 (2019): 41–49. http://dx.doi.org/10.5937/matmor1901041j.
Lei, Tan. "Similarity between the Mandelbrot set and Julia sets." Communications in Mathematical Physics 134, no. 3 (December 1990): 587–617. http://dx.doi.org/10.1007/bf02098448.
Graczyk, Jacek, and Grzegorz Świa̧tek. "Asymptotically conformal similarity between Julia and Mandelbrot sets." Comptes Rendus Mathematique 349, no. 5-6 (March 2011): 309–14. http://dx.doi.org/10.1016/j.crma.2011.01.010.
Andreadis, Ioannis, and Theodoros E. Karakasidis. "On a topological closeness of perturbed Mandelbrot sets." Applied Mathematics and Computation 215, no. 10 (January 2010): 3674–83. http://dx.doi.org/10.1016/j.amc.2009.11.006.
Shahid, Abdul Aziz, Waqas Nazeer, and Krzysztof Gdawiec. "The Picard–Mann iteration with s-convexity in the generation of Mandelbrot and Julia sets." Monatshefte für Mathematik 195, no. 4 (July 1, 2021): 565–84. http://dx.doi.org/10.1007/s00605-021-01591-z.
Ojha, D. B., Ms Shree, A. Dwivedi, and A. Mishra. "An approach for Embedding Elliptic Curve in Fractal Based Digital Signature Scheme." Journal of Scientific Research 3, no. 1 (December 19, 2010): 75. http://dx.doi.org/10.3329/jsr.v3i1.4694.