Results 71 to 80 of about 1,561 (174)

Numerical simulations of seepage flow in rough single rock fractures

Petroleum, 2015
To investigate the relationship between the structural characteristics and seepage flow behavior of rough single rock fractures, a set of single fracture physical models were produced using the Weierstrass–Mandelbrot functions to test the seepage flow ...
Qingang Zhang, Yang Ju, Wenbo Gong, Liang Zhang, Huafei Sun   +4 more
doaj   +1 more source

Escape Criteria Using Hybrid Picard S-Iteration Leading to a Comparative Analysis of Fractal Mandelbrot Sets Generated with S-Iteration

Fractal and Fractional
Fractals are a common characteristic of many artificial and natural networks having topological patterns of a self-similar nature. For example, the Mandelbrot set has been investigated and extended in several ways since it was first introduced, whereas ...
Rekha Srivastava, Asifa Tassaddiq, Ruhaila Md Kasmani   +2 more
doaj   +1 more source

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

The Mandelbrot set is universal [PDF]

, 2000
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of rational maps.
openaire   +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

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

The Mandelbrot Set for a Coquaternionic Family of Quadratics

The Mandelbrot set stands as one of the most fascinating and visually striking mathematical objects ever discovered, representing a fundamental milestone in dynamical systems theory and fractal geometry. Extending this set into the coquaternionic domain introduces significant mathematical challenges and unveils structures of remarkable complexity.
Maria Irene Falcão, Fernando Miranda, Ricardo Severino   +2 more
openaire   +2 more sources

Mathematical Modeling of Liver Metabolic Activity Under Ex Vivo Conditions upon Exposure to Magnetic Nanoparticles. [PDF]

Biomedicines
Yakovleva YA, Shadrin KV, Pakhomova VG, Rupenko AP, Pyankov VF, Kryukova OV, Yaroslavstev RN, Apanovich MS, Stolyar SV.   +8 more
europepmc   +1 more source