Relevant bibliographies by topics / Newton fractals

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Newton fractals'

Author: Grafiati
Published: 30 May 2022
Last updated: 19 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Newton fractals.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Newton fractals"

1

Jovanovic, V. T., and K. Kazerounian. "Using Chaos to Obtain Global Solutions in Computational Kinematics." Journal of Mechanical Design 120, no. 2 (1998): 299–304. http://dx.doi.org/10.1115/1.2826972.

Full text
Abstract:
In this paper we examine the sensitive dependence on the initial conditions of the Newton-Raphson search technique. It is demonstrated that this sensitivity has a fractal nature which can be effectively utilized to find all solutions to a nonlinear equation. The developed technique uses an important feature of fractals to preserve shape of basins of attraction on infinitely small scales.
APA, Harvard, Vancouver, ISO, and other styles
2

P.Soman, K., Manu Unni V.G, Praveen Krishnan, and V. Sowmya. "Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 2 Root-finding using Newton Method and Creation of Newton Fractals." International Journal of Computer Applications 55, no. 14 (2012): 9–15. http://dx.doi.org/10.5120/8821-2742.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Triana Laverde, Juan Gabriel. "On the Newton-Raphson method and its modifications." Ciencia en Desarrollo 14, no. 2 (2023): 75–80. http://dx.doi.org/10.19053/01217488.v14.n2.2023.15157.

Full text
Abstract:
The Newton-Raphson method, also known as Newton's method, is a method for finding successively better approximations to the roots of a real-valued function, starting with an initial guess, being useful even for generating fractals when we consider complex functions. It is a fast method, but convergence is not guaranteed, which is the reason why several modifications of that method have been proposed. Here we present some modifications of the Newton-Raphson method, and we study the convergence of those methods through cases.
APA, Harvard, Vancouver, ISO, and other styles
4

Cartwright, Julyan H. E. "Newton maps: fractals from Newton's method for the circle map." Computers & Graphics 23, no. 4 (1999): 607–12. http://dx.doi.org/10.1016/s0097-8493(99)00078-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

He, Yang-Hui. "Polynomial Roots and Calabi-Yau Geometries." Advances in High Energy Physics 2011 (2011): 1–15. http://dx.doi.org/10.1155/2011/719672.

Full text
Abstract:
The examination of roots of constrained polynomials dates back at least to Waring and to Littlewood. However, such delicate structures as fractals and holes have only recently been found. We study the space of roots to certain integer polynomials arising naturally in the context of Calabi-Yau spaces, notably Poincaré and Newton polynomials, and observe various salient features and geometrical patterns.
APA, Harvard, Vancouver, ISO, and other styles
6

Carlson, Paul W. "Two artistic orbit trap rendering methods for Newton M-set fractals." Computers & Graphics 23, no. 6 (1999): 925–31. http://dx.doi.org/10.1016/s0097-8493(99)00123-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Lazorenko, O., and L. Chernogor. "FRACTAL RADIOPHYSICS. PART 3. FRACTIONAL CALCULUS IN ELECTRODYNAMICS." Radio physics and radio astronomy 29, no. 1 (2024): 046–67. http://dx.doi.org/10.15407/rpra29.01.046.

Full text
Abstract:
Subject and Purpose. At the beginning of the 21st century, a fundamentally new scientific direction was formed, currently known as fractal radiophysics. The present work is an overview of the principal theoretical and practical ideas concerning "fractalization" in radio physics. The purpose is a systematic presentation of the main practical results suitable for application of the fractional calculus in modern theoretical radiophysics. Methods and Methodology. The basic theoretical principles of fractional calculus are outlined in a structured form. Results of applying fractional calculus metho
APA, Harvard, Vancouver, ISO, and other styles
8

Christian, J. M., and H. A. J. Middleton-Spencer. "On the Nth Roots of –1 and Complex Basin Boundaries: Fractals from Newton–Raphson." College Mathematics Journal 51, no. 2 (2020): 95–104. http://dx.doi.org/10.1080/07468342.2020.1703452.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Wang, Xiaofeng, and Wenshuo Li. "A Class of Sixth-Order Iterative Methods for Solving Nonlinear Systems: The Convergence and Fractals of Attractive Basins." Fractal and Fractional 8, no. 3 (2024): 133. http://dx.doi.org/10.3390/fractalfract8030133.

Full text
Abstract:
In this paper, a Newton-type iterative scheme for solving nonlinear systems is designed. In the process of proving the convergence order, we use the higher derivatives of the function and show that the convergence order of this iterative method is six. In order to avoid the influence of the existence of higher derivatives on the proof of convergence, we mainly discuss the convergence of this iterative method under weak conditions. In Banach space, the local convergence of the iterative scheme is established by using the ω-continuity condition of the first-order Fréchet derivative, and the appl
APA, Harvard, Vancouver, ISO, and other styles
10

Akgül, Ali, and David Grow. "Fractal Newton Methods." Mathematics 11, no. 10 (2023): 2277. http://dx.doi.org/10.3390/math11102277.

Full text
Abstract:
We introduce fractal Newton methods for solving f(x)=0 that generalize and improve the classical Newton method. We compare the theoretical efficacy of the classical and fractal Newton methods and illustrate the theory with examples.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Newton fractals"

1

E, Michurin I. "Using newton fractals for finding polynomial roots In the complex plane." Thesis, National Aviation University, 2021. https://er.nau.edu.ua/handle/NAU/50717.

Full text
Abstract:
1. Bakhvalov, N. S., Zhidkov, N. P., & Kobelkov, G. M. (Eds.) (2008). Numerical methods. (6th ed.). Moscow: BINOM. Knowledge Laboratory. 2. Bozhokin, S. V., & Parshin, D. A. (2001). Fractals and multifractals. Izhevsk: Research Center "Regular and chaotic dynamics". 3. Zadachyn, V. M., & Konyushenko, I. G. (2014). Numerical methods. Kharkiv: Ed. KhNEU them. S. Kuznets.<br>The problem of finding complex roots arises not only in algebra or number theory, but also in other fields. Various differential equations that describe physical processes: the behavior of nonlinear dynamical systems, turbu
APA, Harvard, Vancouver, ISO, and other styles
2

Rankine, Luke. "Newborn EEG seizure detection using adaptive time-frequency signal processing." Thesis, Queensland University of Technology, 2006. https://eprints.qut.edu.au/16200/1/Luke_Rankine_Thesis.pdf.

Full text
Abstract:
Dysfunction in the central nervous system of the neonate is often first identified through seizures. The diffculty in detecting clinical seizures, which involves the observation of physical manifestations characteristic to newborn seizure, has placed greater emphasis on the detection of newborn electroencephalographic (EEG) seizure. The high incidence of newborn seizure has resulted in considerable mortality and morbidity rates in the neonate. Accurate and rapid diagnosis of neonatal seizure is essential for proper treatment and therapy. This has impelled researchers to investigate possible me
APA, Harvard, Vancouver, ISO, and other styles
3

Rankine, Luke. "Newborn EEG seizure detection using adaptive time-frequency signal processing." Queensland University of Technology, 2006. http://eprints.qut.edu.au/16200/.

Full text
Abstract:
Dysfunction in the central nervous system of the neonate is often first identified through seizures. The diffculty in detecting clinical seizures, which involves the observation of physical manifestations characteristic to newborn seizure, has placed greater emphasis on the detection of newborn electroencephalographic (EEG) seizure. The high incidence of newborn seizure has resulted in considerable mortality and morbidity rates in the neonate. Accurate and rapid diagnosis of neonatal seizure is essential for proper treatment and therapy. This has impelled researchers to investigate possible me
APA, Harvard, Vancouver, ISO, and other styles
4

Isodaitė, Reda. "Niutono metodo realizacija ir tyrimas taikant Žulija aibes." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2007. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2007~D_20070816_142650-15828.

Full text
Abstract:
Šiame darbe buvo analizuojama Niutono fraktalų Žulija aibės. Dažniausiai Žulija ir užpildytų Žulija aibių vaizdai gaunami, panaudojant "pabėgimo laiko" algoritmą. Norėdami šį algoritmą naudoti kompleksinio daugianario šaknų vizualizacijai, turime nurodyti iteracijų skaiči��, algoritmo tikslumą, žingsnį bei kompleksiniu Niutono metodu rasti daugianario šaknis. Taikant Niutono metodą, buvo susidurta su pradinių taškų parinkimo problema. Tyrimo metu patvirtinta, kad pakanka Niutono iteracinę funkciją taikyti taškams z, kurių modulis 2. Darbe buvo pasiūlytas šaknų lokalizacijos srities nustatymo b
APA, Harvard, Vancouver, ISO, and other styles
5

Navarro, Xavier. "Analysis of cerebral and respiratory activity in neonatal intensive care units for the assessment of maturation and infection in the early premature infant." Phd thesis, Université Rennes 1, 2013. http://tel.archives-ouvertes.fr/tel-00979727.

Full text
Abstract:
This Ph.D. dissertation processes and analyzes signals from the neonatal intensive care units (NICUs) for the study of maturity, systemic infection (sepsis) and the influence of immunization in the premature newborn. A special attention is payed to the electroencephalography and the breathing signal. The former is often contaminated by several sources of noise, thus methods based on the signals decomposition and optimal noise cancellation, adapted to the characteristics of the immature EEG, were proposed and evaluated objectively on real and simulated signals. By means of the EEG and delta bur
APA, Harvard, Vancouver, ISO, and other styles
6

Sendrowski, Janek. "Feigenbaum Scaling." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635.

Full text
Abstract:
In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. A more intricate approach drawing from renormalization theory as well as a short consideration of some of the topological properties will also be presented. I was furthermore trying to put great emphasis on diagrams throughout the text to make the contents more comprehensible and intuitive.
APA, Harvard, Vancouver, ISO, and other styles
7

Corte, Jennifer. "Fractal images generated by Newton's method." 2003. http://etd.utk.edu/2003/CorteJennifer.pdf.

Full text
Abstract:
Thesis (M.S.)--University of Tennessee, Knoxville, 2003.<br>Title from title page screen (viewed Sept. 24, 2003). Thesis advisor: Jerry Dwyer. Document formatted into pages (vii, 60 p. : ill. (some col.). Vita. Includes bibliographical references (p. 45-47).
APA, Harvard, Vancouver, ISO, and other styles
8

Newton, Joshua Benjamin. "Discrete deterministic chaos." Thesis, 2010. http://hdl.handle.net/2152/ETD-UT-2010-08-1602.

Full text
Abstract:
In the course Discrete Deterministic Chaos, Dr. Mark Daniels introduces students to Chaos Theory and explores many topics within the field. Students prove many of the key results that are discussed in class and work through examples of each topic. Connections to the secondary mathematics curriculum are made throughout the course, and students discuss how the topics in the course could be implemented in the classroom. This paper will provide an overview of the topics covered in the course, Discrete Deterministic Chaos, and provide additional discussion on various related topics.<br>text
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Newton fractals"

1

Lesne, Annick, Dietrich Stauffer, and Eugene Stanley. From Newton to Mandelbrot: A Primer in Theoretical Physics. Springer, 2017.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Lesne, Annick, Dietrich Stauffer, and H. Eugene Stanley. From Newton to Mandelbrot: A Primer in Theoretical Physics. Springer Berlin / Heidelberg, 2017.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Stauffer, Dietrich, H. Eugene Stanley, and A. H. Armstrong. From Newton to Mandelbrot: A Primer in Theoretical Physics. Springer London, Limited, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Stauffer, Dietrich, and H. Eugene Stanley. From Newton to Mandelbrot: A Primer in Theoretical Physics with Fractals for the Macintosh. Springer London, Limited, 2013.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Stauffer, D., and H. Eugene Stanley. From Newton to Mandelbrot: A Primer in Theoretical Physics with Fractals for the Macintosh. Springer, 2014.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

From Newton to Mandelbrot: A primer in theoretical physics with fractals for the Macintosh. 2nd ed. Springer, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

From Newton to Mandelbrot: A Primer in Theoretical Physics with Fractals for the Personal Computer. 2nd ed. Springer, 1995.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Holland, John H. 2. Complex physical systems (CPS). Oxford University Press, 2014. http://dx.doi.org/10.1093/actrade/9780199662548.003.0002.

Full text
Abstract:
‘Complex physical systems’ considers the characteristics of complex physical systems (CPS), which are often geometric (specifically, lattice-like) arrays of elements, in which interactions typically depend only on effects propagated from nearest neighbors. The elements of a CPS follow fixed physical laws, usually expressed by differential equations—Newton’s laws of gravity and Maxwell’s laws of electromagnetism are cases in point. Neither the laws nor the elements change over time; only the positions of the elements change. CPS show several properties: self-organized criticality, self-similari
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Newton fractals"

1

Stauffer, Dietrich, and H. Eugene Stanley. "Fractals in Theoretical Physics." In From Newton to Mandelbrot. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-86780-4_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Stauffer, Dietrich, and H. Eugene Stanley. "Fractals in Theoretical Physics." In From Newton to Mandelbrot. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-11782-8_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Stauffer, Dietrich, H. Eugene Stanley, and Annick Lesne. "Fractals in Theoretical Physics." In From Newton to Mandelbrot. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-53685-8_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Stauffer, Dietrich, and H. Eugene Stanley. "Fractals in Theoretical Physics." In From Newton to Mandelbrot. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-97262-1_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Peitgen, Heinz-Otto, and Peter H. Richter. "Newton’s Method for Real Equations." In The Beauty of Fractals. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61717-1_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Peitgen, Heinz-Otto, and Peter H. Richter. "Newton’s Method for Complex Polynomials: Cayley’s Problem." In The Beauty of Fractals. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61717-1_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Murante, Giuseppe, and Antonello Provenzale. "Fractal Structures In Self-Gravitating Cosmological Flows." In From Newton to Chaos. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-1085-1_53.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Withers, Wm Douglas. "Newton’s Method for Fractal Approximation." In Constructive Approximation. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4899-6886-9_9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

You, Fucheng, and Yujie Chen. "The Application Research on Anti-counterfeiting of Fractal Graphics in Color Printing Based on Newton Iteration and Escape Time Algorithm." In Advanced Research on Computer Education, Simulation and Modeling. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21783-8_27.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Feldman, David P. "Newton, Laplace, and Determinism." In Chaos and Fractals. Oxford University Press, 2012. http://dx.doi.org/10.1093/acprof:oso/9780199566433.003.0009.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Newton fractals"

1

Zhang, Yunong, Tianjian Qiao, Bolin Liao, Long Jin, and Junwei Chen. "From Newton Fractals to Gradient Fractals in Addition to Zhang Fractals." In 2014 IEEE 17th International Conference on Computational Science and Engineering (CSE). IEEE, 2014. http://dx.doi.org/10.1109/cse.2014.239.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Jovanovic, Vojin T., and Kazem Kazerounian. "Using Chaos to Obtain Global Solutions in Computational Kinematics." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1193.

Full text
Abstract:
Abstract In this paper we examine the sensitive dependence on the initial conditions of the Newton-Raphson search technique. It is demonstrated that this sensitivity has a fractal nature which can be effectively utilized to find all solutions to a nonlinear equation. The developed technique uses an important feature of fractals to preserve shape of basins of attraction on infinitely small scales.
APA, Harvard, Vancouver, ISO, and other styles
3

Çilingir, Figen. "Fractals arising from Newton's method." In FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS: ICAAM 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4747660.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Dorini, Fabio A., Hellen C. Spengler, and Roy Wilhelm Probst. "Sistemas não-lineares, o método de Newton e Fractais." In XXXV CNMAC - Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2015. http://dx.doi.org/10.5540/03.2015.003.01.0311.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Jayvadan, Bhavsar Nirjhari. "Synthesis of the fractal array using the Newton-Raphson method." In 2020 IEEE Students Conference on Engineering & Systems (SCES). IEEE, 2020. http://dx.doi.org/10.1109/sces50439.2020.9236761.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Maggioli, Filippo, Daniele Baieri, Simone Melzi, and Emanuele Rodolà. "Newton’s Fractals on Surfaces via Bicomplex Algebra." In SIGGRAPH '22: Special Interest Group on Computer Graphics and Interactive Techniques Conference. ACM, 2022. http://dx.doi.org/10.1145/3532719.3543211.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Bo, Shangguan, Yu Feilong, Duan Jingyao, Gao Song, Xiao Junfeng, and Zili Xu. "A Fractal Contact Friction Model and Nonlinear Vibration Response Studies of Loosely Assembled Blade With Dovetail Root." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56271.

Full text
Abstract:
To investigate the friction damping effect of a loosely assembled blade with dovetail root, a fractal contact friction model is proposed to describe the friction force. In the proposed model, the friction contact interface is discretized to a series of friction contact pairs and each of them can experience stick, slip, or separate. Fractal geometry is used to simulate the topography of contact surfaces. The contact stiffness, which is related to the parameters of contact interfaces including normal load, roughness, Young’s modulus, and Poisson’s ratio, is calculated using Hertz contact theory
APA, Harvard, Vancouver, ISO, and other styles
8

Benedetti, M., D. Bortoluzzi, P. Bosetti, M. Da Lio, and V. Fontanari. "The Role of Adhesion and Sub-Newton Pull-Off Forces on the Test Mass Release for the LISA Experiment." In World Tribology Congress III. ASMEDC, 2005. http://dx.doi.org/10.1115/wtc2005-63349.

Full text
Abstract:
The present paper illustrates the problematic of precise release of objects in weightless conditions. Under these circumstances, the role of weak bonds (electrostatic and van der Waals attractive forces) is not obscured by the gravity force. A finite-element analysis approach has been presented with the aim to quantify the adhesion forces between smooth surfaces in vacuum. On the basis of the obtained results, some solutions aimed at reducing adhesion pull-off forces have been discussed. Special emphasis has been placed on the role of surface roughness in reducing adhesion. To this purpose, a
APA, Harvard, Vancouver, ISO, and other styles
9

Wei, Jingying, and Yong Tan. "Optimization of Newton's Iterative Algorithm for Fractal Art Graphic Design." In 2023 IEEE International Conference on Integrated Circuits and Communication Systems (ICICACS). IEEE, 2023. http://dx.doi.org/10.1109/icicacs57338.2023.10100321.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Kim, Young Bong, Hyoung Seok Kim, Hong Oh Kim, and Sung Yong Shin. "3D Rendering of Fractal Images for Newton Form of $\rm{exp}(-\alpha\frac{\xi + z}{\xi - z}) - 1 = 0$." In Proceedings of the Second Pacific Conference on Computer Graphics and Applications, Pacific Graphics '94. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789814503860_0006.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Newton fractals' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography