Results 61 to 70 of about 6,037,193 (187)

Calculation of the Structure of a Shrub in the Mandelbrot Set

Discrete Dynamics in Nature and Society, 2011
We calculate the external arguments of the structure of any shrub in the Mandelbrot set. Before calculating, we revise, expand, and clarify some tools useful for this paper: harmonics, pseudoharmonics, the concept of structure, the structure of a shrub ...
G. Pastor, M. Romera, A. B. Orue, A. Martín, M-F. Danca, F. Montoya   +5 more
doaj   +1 more source

Fractal Generation via CR Iteration Scheme With S-Convexity

IEEE Access, 2019
The visual beauty, self-similarity, and complexity of Mandelbrot sets and Julia sets have made an attractive field of research. One can find many generalizations of these sets in the literature.
Young Chel Kwun, Abdul Aziz Shahid, Waqas Nazeer, Mujahid Abbas, Shin Min Kang   +4 more
doaj   +1 more source

Structural complexity of hard substrates shapes shallow marine benthic communities

Oikos, Volume 2025, Issue 8, August 2025.
Structurally complex habitats offer niche diversity, with varying biotic and abiotic conditions, generally leading to higher biodiversity compared to simpler habitats. However, our understanding of the response of ecological communities to increased complexity and the underlying drivers remain ambiguous due to discrepancies in how complexity is ...
Esther Suzanne Witte, Oscar Franken, Ralph J. M. Temmink, Jon Dickson, Bas de Wit, Reyhaneh Roohi, Pol Martinez‐Garcia, Jannes Heusinkveld, Sander J. Holthuijsen, Kasper J. Meijer, Han Olff, Laura L. Govers, Tjisse van der Heide   +12 more
wiley   +1 more source

An Effective Iterative Process Utilizing Transcendental Sine Functions for the Generation of Julia and Mandelbrot Sets

Fractal and Fractional
This study presents an innovative iterative method designed to approximate common fixed points of generalized contractive mappings. We provide theorems that confirm the convergence and stability of the proposed iteration scheme, further illustrated ...
Khairul Habib Alam, Yumnam Rohen, Anita Tomar, Naeem Saleem, Maggie Aphane, Asima Razzaque   +5 more
doaj   +1 more source

On the Surface Roughness Effects on −1 ${-}1$ Spectral Scaling in Atmospheric Boundary Layer

Journal of Geophysical Research: Atmospheres, Volume 130, Issue 14, 28 July 2025.
Abstract Using field data from a coastal site, we explored the turbulence spectra of boundary layer flows over land and sea, focusing on the occurrence and characteristics of the −1 ${-}1$ spectral scaling in the energy production region. Results reveal that the interaction of the flow with surface roughness is a critical factor influencing the extent ...
Yuechao Wang, Yaswanth Sai Jetti, Shyuan Cheng, Bernardo Figueroa‐Espinoza, Leonardo P. Chamorro   +4 more
wiley   +1 more source

Novel escape criteria for complex-valued hyperbolic functions through a fixed point iteration method

AIMS Mathematics
This study presented an efficient fixed-point iteration method for deriving novel escape criteria for hyperbolic sine and hyperbolic cosine functions of varying degrees.
Tunçar Şahan, Yunus Atalan
doaj   +1 more source

The affective, cognitive, and social benefits of interacting with nature

Journal of Consumer Psychology, Volume 35, Issue 3, Page 495-510, July 2025.
Abstract The surrounding environment influences how people feel, think, and behave. This effect is apparent when examining the multitude of ways interactions with natural environments impact people psychologically. In this Research Dialogue, we discuss work by ourselves and others that demonstrate the benefits of spending time in nature or interacting ...
Nakwon Rim, Kathryn E. Schertz, Marc G. Berman   +2 more
wiley   +1 more source

Emerging issues and research opportunities in vadose zone processes

Vadose Zone Journal, Volume 24, Issue 4, July/August 2025.
Abstract The vadose zone—the variably saturated, near‐surface environment that is critical for ecosystem services such as food and water provisioning, climate regulation, and infrastructure support—faces increasing pressures from both anthropogenic and natural factors, including changing climatic conditions. A more comprehensive understanding of vadose
Ryan D. Stewart, Markus Flury, Hoori Ajami, Ray G. Anderson, Timothy R. Green, Yan Jin, Andres Patrignani, Rose Shillito, Wei Zhang, Majdi R. Abou Najm, Ebrahim Babaeian, Markus Berli, E. N. Jack Brookshire, Aaron L. M. Daigh, Shane Franklin, Jeremy Giovando, Robert Heinse, Josh Heitman, Jingyi Huang, Thijs Kelleners, Mahyar Naseri, Tyson E. Ochsner, Jesse Radolinski, Morteza Sadeghi, Salini Sasidharan, Manoj K. Shukla, Markus Tuller, Ole Wendroth, Joan Wu, Briana M. Wyatt, Yang Yang, Yingxue Yu, Zhuanfang Fred Zhang   +32 more
wiley   +1 more source

A Novel Explainable Hybrid Model for Permeability Prediction of Tight Sandstone Using PI‐DeepFM Machine Learning Algorithm

Water Resources Research, Volume 61, Issue 7, July 2025.
Abstract Permeability is essential in controlling hydrocarbon fluid distribution and production in tight sandstone reservoirs. However, most conventional permeability prediction models are low‐accuracy and cannot evaluate the importance of factors quantitatively because of the complex interplay among them, stemming from the complex pore structure of ...
Lina Huo, Fujie Jiang, Liu Cao, Di Chen, Renda Huang, Xiaowei Zheng, Guangjie Zhao, Weiye Chen, Zezhang Song, Libin Zhao, Yuanyuan He   +10 more
wiley   +1 more source

Generalized Logistic Maps in the Complex Plane: Structure, Symmetry, and Escape-Time Dynamics

Axioms
In this paper, we introduce a generalised formulation of the logistic map extended to the complex plane and correspondingly redefine the classical Mandelbrot and Julia sets within this broader framework.
Krzysztof Gdawiec, Muhammad Tanveer
doaj   +1 more source