Results 71 to 80 of about 6,088,715 (228)

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

Fractional Gaussian Noise: Spectral Density and Estimation Methods

Journal of Time Series Analysis, Volume 46, Issue 6, Page 1146-1174, November 2025.
The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1)$$ H\in \left(0,1\right) $$, is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
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

Asymmetric stable stochastic volatility models: estimation, filtering, and forecasting

Journal of Time Series Analysis, Volume 46, Issue 6, Page 1098-1124, November 2025.
This article considers a stochastic volatility model featuring an asymmetric stable error distribution and a novel way of accounting for the leverage effect. We adopt simulation‐based methods to address key challenges in parameter estimation, the filtering of time‐varying volatility, and volatility forecasting.
Francisco Blasques, Siem Jan Koopman, Karim Moussa   +2 more
wiley   +1 more source

Enhancing stone provenance studies through software built with language model artificial intelligence (AI): An example of ancient Calabrian quarries (southern Italy)

Archaeometry, Volume 67, Issue 5, Page 1283-1308, October 2025.
Abstract This study represents the first attempt to develop archaeometric software that enables researchers without programming knowledge to address archaeometric challenges, specifically determining the provenance of rocks extracted from ancient quarries.
Domenico Miriello, Raffaella De Luca
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

Resting‐State Functional MRI Analyses for Brain Activity Characterization: A Narrative Review of Features and Methods

European Journal of Neuroscience, Volume 62, Issue 8, October 2025.
Functional connectivity is a popular resting‐state functional MRI analysis. Nevertheless, there are alternative approaches that can be used to characterize the BOLD signal differently, which allow for indirect characterization of brain activity, focusing on regional connectivity, intensity, and complexity.
Alejandro Amador‐Tejada, Bhanu Sharma, Ethan Danielli, Michael D. Noseworthy   +3 more
wiley   +1 more source

Non-linearity of the dynamics of transcendental function using Fibonacci–Mann iteration and some critical remarks

Alexandria Engineering Journal
With a generalized setting of transcendental functions associated with a non-linear variable, we have observed the combinatorial structures of the fractals of Julia sets and Mandelbrot sets due to the function zκcos(zκ)+pz2+q, in the complex plane with p,
Santanu Nandi, Ahmed Al-Rawashdeh, Pulak Konar   +2 more
doaj   +1 more source

lacunr: Efficient 3D lacunarity for voxelized LiDAR data from forested ecosystems

Methods in Ecology and Evolution, Volume 16, Issue 9, Page 1906-1913, September 2025.
Abstract Structural complexity has been considered a key driver of ecological phenomena in forested ecosystems. Geographic metrics that attempt to summarize the heterogeneity of complex 3‐dimensional (3D) spatial structures, such as fractal dimension and rugosity, provide insights into ecological processes such as biodiversity, productivity and ...
Elliott A. Smeds, Zane Cooper, Lisa Patrick Bentley   +2 more
wiley   +1 more source

Newton-Mandelbrot set and Murase-Mandelbrot set

We obtain four extended Newton's methods and three extended Mandelbrot's recurrence formulas from the Wasan (Japanese mathematics in the Edo period (1603-1868)). Furthermore, two extended Newton's methods relate to one of the extended Mandelbrot's recurrence formulas. We lead four types of extended Mandelbrot recurrence formulas.
openaire   +2 more sources