Results 101 to 110 of about 2,419 (215)

A hyperpolar image of the Mandelbrot set [PDF]

, 1998
Non-random complicated motions can exhibit a very rapid growth of errors and, despite perfect determinism, they inhibit the pragmatic ability to render accurate long term predictions.
Glaser, Frank
core   +1 more source

Homeomorphisms on edges of the Mandelbrot set [PDF]

, 2002
Consider the iteration of complex quadratic polynomials. They form a one-parameter family, and the Mandelbrot set is defined as a subset of the parameter plane: it contains those parameters, such that the Julia set of the corresponding polynomial is ...
Jung, Wolf
core   +2 more sources

Construction of 3D Mandelbrot Set and Julia Set [PDF]

, 2014
Today Fractal geometry is completely new area of research in the field of computer science and engineering. It has wide range of applications. Fractals in nature are so complicated and irregular that it is hopeless to model them by simply using classical
Manesar Gurgaon, Ashish Negi, Ankit Garg, Pauri Garhwal, Akshat Agrawal   +4 more
core  

A Computational Framework for Escape Dynamics and Fractal Structures in Transcendental Complex Maps

Fractal and Fractional
This study offers a computational framework that analyzes the escape characteristics of transcendental complex maps by utilizing the AK iteration scheme.
Asifa Tassaddiq, Muhammad Tanveer, Rabab Alharbi, Aiman Albarakati, Ruhaila Md Kasmani, Sania Qureshi   +5 more
doaj   +1 more source

Dynamic Analysis of a Family of Iterative Methods with Fifth-Order Convergence

Fractal and Fractional
In this paper, a new class of fifth-order Chebyshev–Halley-type methods with a single parameter is proposed by using the polynomial interpolation method. The convergence order of the new method is proved.
Xiaofeng Wang, Shaonan Guo
doaj   +1 more source

On the Application of Mann-Iterative Scheme with h-Convexity in the Generation of Fractals

Fractal and Fractional
Self-similarity is a common feature among mathematical fractals and various objects of our natural environment. Therefore, escape criteria are used to determine the dynamics of fractal patterns through various iterative techniques. Taking motivation from
Asifa Tassaddiq, Muhammad Tanveer, Muhammad Zubair, Muhammad Arshad, Carlo Cattani   +4 more
doaj   +1 more source

On a Slice of the Cubic 2-adic Mandelbrot Set [PDF]

Consider the one-parameter family of cubic polynomials defined by $f_t(z) =-\frac 32 t(-2z^3+3z^2)+1, t \in \mathbb{C}_2$. This family corresponds to a slice of the parameter space of cubic polynomials in $\mathbb{C}_2[z]$.
Stacy, Emerald, Anderson, Jacqueline, Tobin, Bella   +2 more
core   +1 more source

Creating Music Visualizations in a Mandelbrot Set Explorer [PDF]

, 2012
The aim of this thesis is to implement a Mandelbrot Set Explorer that includes the functionality to create music visualizations. The Mandelbrot set is an important mathematical object, and the arguably most famous so called fractal.
Knapp, Christian
core   +2 more sources

Clinical Implications of the Fascial System: A Commentary on One Surgeon’s Journey

Life
A review of the most important concepts of the last 100 years on the topic of fascia and its fundamental importance to tissue and organ structure and function is provided as a basis for the author’s commentary on the self-organizing nature of fascia ...
Robert D. Rehnke
doaj   +1 more source

Some Properties of Zipf’s Law and Applications

Axioms
The article extends the theoretical and applicative analysis of Zipf’s law. We are concerned with a set of properties of Zipf’s law that derive directly from the power law expression and from the discrete nature of the objects to which the law is applied,
Speranta Cecilia Bolea, Mironela Pirnau, Silviu-Ioan Bejinariu, Vasile Apopei, Daniela Gifu, Horia-Nicolai Teodorescu   +5 more
doaj   +1 more source