Letteratura scientifica selezionata sul tema "Mandelbrot sets"
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Articoli di riviste sul tema "Mandelbrot sets":
LIU, XIANG-DONG, ZHI-JIE LI, XUE-YE ANG e JIN-HAI ZHANG. "MANDELBROT AND JULIA SETS OF ONE-PARAMETER RATIONAL FUNCTION FAMILIES ASSOCIATED WITH NEWTON'S METHOD". Fractals 18, n. 02 (giugno 2010): 255–63. http://dx.doi.org/10.1142/s0218348x10004841.
Jha, Ketan, e Mamta Rani. "Control of Dynamic Noise in Transcendental Julia and Mandelbrot Sets by Superior Iteration Method". International Journal of Natural Computing Research 7, n. 2 (aprile 2018): 48–59. http://dx.doi.org/10.4018/ijncr.2018040104.
Tassaddiq, Asifa, Muhammad Tanveer, Muhammad Azhar, Waqas Nazeer e Sania Qureshi. "A Four Step Feedback Iteration and Its Applications in Fractals". Fractal and Fractional 6, n. 11 (9 novembre 2022): 662. http://dx.doi.org/10.3390/fractalfract6110662.
KOZMA, ROBERT T., e ROBERT L. DEVANEY. "Julia sets converging to filled quadratic Julia sets". Ergodic Theory and Dynamical Systems 34, n. 1 (21 agosto 2012): 171–84. http://dx.doi.org/10.1017/etds.2012.115.
Yan, De Jun, Xiao Dan Wei, Hong Peng Zhang, Nan Jiang e 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 (agosto 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, n. 1 (2003): 35–87. http://dx.doi.org/10.4064/fm180-1-4.
Sun, Y. Y., e X. Y. Wang. "Noise-perturbed quaternionic Mandelbrot sets". International Journal of Computer Mathematics 86, n. 12 (dicembre 2009): 2008–28. http://dx.doi.org/10.1080/00207160903131228.
Wang, Xingyuan, Zhen Wang, Yahui Lang e Zhenfeng Zhang. "Noise perturbed generalized Mandelbrot sets". Journal of Mathematical Analysis and Applications 347, n. 1 (novembre 2008): 179–87. http://dx.doi.org/10.1016/j.jmaa.2008.04.032.
Sekovanov, Valeriy S., Larisa B. Rybina e 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, n. 4 (2019): 193–99. http://dx.doi.org/10.34216/2073-1426-2019-25-4-193-199.
Wang, Feng Ying, Li Ming Du e Zi Yang Han. "The Construction for Generalized Mandelbrot Sets of the Frieze Group". Advanced Materials Research 756-759 (settembre 2013): 2562–66. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.2562.
Tesi sul tema "Mandelbrot sets":
Tingen, Larry L. "The Julia and Mandelbrot sets for the Hurwitz zeta function". View electronic thesis (PDF), 2009. http://dl.uncw.edu/etd/2009-3/tingenl/larrytingen.pdf.
Jones, Rafe. "Galois martingales and the hyperbolic subset of the p-adic Mandelbrot set /". View online version; access limited to Brown University users, 2005. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3174623.
Tolmie, Julie. "Visualisation, navigation and mathematical perception : a visual notation for rational numbers mod 1". View thesis entry in Australian Digital Theses Program, 2000. http://thesis.anu.edu.au/public/adt-ANU20020313.101505/index.html.
Poirier, Schmitz Alfredo. "Invariant measures on polynomial quadratic Julia sets with no interior". Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96022.
En este artículo caracterizamos medidas invariantes sobre conjuntos de Julia sin interior asociados con polinomios cuadráticos. Probamos que más allá de la medida armónica —la única par e invariante—, el resto son generadas por su parte impar.
Kuo, Li-Feng, e 郭立峰. "Mandelbrot Sets, Julia Sets and Their Algorithms". Thesis, 2019. http://ndltd.ncl.edu.tw/handle/6n28d7.
國立中央大學
數學系
107
In this thesis, we survey the big theme of fractals - Mandelbrot sets. We start to study Julia sets before study Mandelbrot sets, and the goal is generating figures of fractals and applying to arts. Hence, we introduce the definition and properties of Julia sets firstly, and use this theory to arrange some useful algorithms for generating the figures of Julia sets. After we survey Julia sets, we can study Mandelbrot sets, since the definition of Mandelbrot sets is all of the points such that the Julia set is onnected. However, we obtain the obstacle when generating andelbrot sets, that is, how to check the Julia set is connected or not? The answer of this question is - the fundamental theorem of Mandelbrot sets, we can generate the figures of Mandelbrot sets by this theorem. Finally, we give some examples of Mandelbrot sets and Julia sets, and introduce 3-dimensional Mandelbrot sets and Julia sets.
Hannah, Walter. "Internal rays of the Mandelbrot set". Thesis, 2006. http://www.ithaca.edu/hs/depts/math/docs/theses/whannahthesis.pdf.
Fitzgibbon, Elizabeth Laura. "Rational maps: the structure of Julia sets from accessible Mandelbrot sets". Thesis, 2014. https://hdl.handle.net/2144/15111.
Lauber, Arnd. "On the Stability of Julia Sets of Functions having Baker Domains". Doctoral thesis, 2004. http://hdl.handle.net/11858/00-1735-0000-0006-B3DE-F.
Libri sul tema "Mandelbrot sets":
Lesmoir-Gordon, Nigel. The colours of infinity: The beauty and power of fractals. London: Springer Verlag, 2010.
Mandelbrot, Benoit B. Fractals and chaos: The Mandelbrot set and beyond. New York, NY: Springer, 2004.
Tomboulian, Sherryl. Indirect addressing and load balancing for faster solution to Mandelbrot Set on SIMD architectures. Hampton, Va: ICASE, 1989.
Banaś, Marian. Analiza teoretyczna i badania właściwości zawiesin nieziarnistych w zastosowaniu do projektowsnia i eksploatacji wielostrumieniowych urządzeń sedymentacyjnych: Theoretical analysis and investigations of the properties of the non-grainy suspensions in terms to design and use of the lamella settling devices. Kraków: Wydawnictwa AGH, 2012.
Devaney, Robert, a cura di. Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets. Providence, Rhode Island: American Mathematical Society, 1995. http://dx.doi.org/10.1090/psapm/049.
Dang, Yumei. Hypercomplex iterations: Distance estimation and higher dimensional fractals. River Edge, NJ: World Scientific, 2002.
AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics: Twenty-five Years after the Appearance of the Mandelbrot Set (2004 Snowbird, Utah). Complex dynamics: Twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics--Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah. A cura di Devaney Robert L. 1948- e Keen Linda. Providence, R.I: American Mathematical Society, 2006.
Milnor, John W. Dynamical systems (1984-2012). A cura di Bonifant Araceli 1963-. Providence, Rhode Island: American Mathematical Society, 2014.
Furstenberg, Harry. Ergodic theory and fractal geometry. Providence, Rhode Island: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2014.
Silverman, Joseph H. Moduli spaces and arithmetic dynamics. Providence, R.I: American Mathematical Society, 2012.
Capitoli di libri sul tema "Mandelbrot sets":
Agarwal, Ravi P., Kanishka Perera e Sandra Pinelas. "Julia and Mandelbrot Sets". In An Introduction to Complex Analysis, 316–20. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-0195-7_49.
Korsch, H. J., e H. J. Jodl. "Mandelbrot and Julia Sets". In Chaos, 227–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03866-6_11.
Korsch, H. J., e H. J. Jodl. "Mandelbrot and Julia Sets". In Chaos, 227–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-02991-6_11.
Douady, Adrien. "Julia Sets and the Mandelbrot Set". In The Beauty of Fractals, 161–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61717-1_13.
Reeve, Dominic E. "Mandelbrot, Julia Sets and Nonlinear Mappings". In Fractals and Chaos, 35–42. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-3034-2_3.
Peitgen, Heinz-Otto, Hartmut Jürgens e Dietmar Saupe. "The Mandelbrot Set: Ordering the Julia Sets". In Fractals for the Classroom, 415–73. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-4406-6_8.
Peitgen, Heinz-Otto, Hartmut Jürgens e Dietmar Saupe. "The Mandelbrot Set: Ordering the Julia Sets". In Chaos and Fractals, 841–901. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-4740-9_15.
Peitgen, Heinz-Otto, Hartmut Jürgens e Dietmar Saupe. "The Mandelbrot Set: Ordering the Julia Sets". In Chaos and Fractals, 783–837. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/0-387-21823-8_15.
McClure, Mark. "Complex Dynamics:Julia Sets and the Mandelbrot Set". In Mathematica in Action, 277–300. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-75477-2_12.
Ochkov, Valery, Alan Stevens e Anton Tikhonov. "Iterations and Fractal Sets of Mandelbrot and Julia". In STEM Problems with Mathcad and Python, 263–91. Boca Raton: Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003228356-14.
Atti di convegni sul tema "Mandelbrot sets":
Kumar, Suthikshn. "Public Key Cryptographic System Using Mandelbrot Sets". In MILCOM 2006. IEEE, 2006. http://dx.doi.org/10.1109/milcom.2006.302396.
Dejun, Yan, Yang Rijing, Xin Huijie e Zheng Jiangchao. "Generalized Mandelbrot Sets and Julia Sets for Non-analytic Complex Maps". In 2010 International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2010. http://dx.doi.org/10.1109/iwcfta.2010.42.
Yan, Dejun, Junxing Zhang, Nan Jiang e Lidong Wang. "General Mandelbrot Sets and Julia Sets Generated from Non-analytic Complex Iteration ⨍m(z)=z^n+c". In 2009 International Workshop on Chaos-Fractals Theories and Applications (IWCFTA 2009). IEEE, 2009. http://dx.doi.org/10.1109/iwcfta.2009.89.
Yan, Dejun, Xiaodan Wei, Hongpeng Zhang, Nan Jiang e Xiangdong Liu. "Fractal Structures of General Mandelbrot Sets and Julia Sets Generated From Complex Non-Analytic Iteration Fm(Z)=Zm+c". In 2nd International Symposium on Computer, Communication, Control and Automation. Paris, France: Atlantis Press, 2013. http://dx.doi.org/10.2991/isccca.2013.42.
Ganikhodzhayev, Rasul, e Shavkat Seytov. "An analytical description of mandelbrot and Julia sets for some multi-dimensional cubic mappings". In INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0058341.
Dawkins, Jeremy J., David M. Bevly e Robert L. Jackson. "Multiscale Terrain Characterization Using Fourier and Wavelet Transforms for Unmanned Ground Vehicles". In ASME 2009 Dynamic Systems and Control Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/dscc2009-2718.
Shahinpoor, Mohsen. "An Introduction to Smart Fractal Structures and Mechanisms". In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0160.
Michopoulos, John G., e Athanasios Iliopoulos. "High Dimensional Full Inverse Characterization of Fractal Volumes". In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-71050.
Michopoulos, John G., e Athanasios Iliopoulos. "Complete High Dimensional Inverse Characterization of Fractal Surfaces". In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47784.