Results 101 to 110 of about 7,436,694 (204)

Self-organized Criticality across 13 Orders of Magnitude in the Solar–Stellar Connection

The Astrophysical Journal
The observed size distributions of solar and stellar flares are found to be consistent with the predictions of the fractal-diffusive self-organized criticality (FD-SOC) model, which predicts power-law slopes with universal constants of α _F  = (9/5) = 1 ...
Markus J. Aschwanden, Carolus J. Schrijver   +1 more
doaj   +1 more source

Four Decades of Research at the MADE Site and Beyond: Advancing the Understanding and Modeling of Solute Transport in Heterogeneous Media

Reviews of Geophysics, Volume 64, Issue 4, December 2026.
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo, Maosheng Yin, Peiyao Dong, Yong Zhang, Kewei Chen, Graham Fogg, Brian Berkowitz, Marco Dentz, Chunmiao Zheng   +8 more
wiley   +1 more source

Research on Slope Early Warning and Displacement Prediction Based on Multifractal Characterization

Fractal and Fractional
The occurrence of landslide hazards significantly induces changes in slope surface displacement. This study conducts an in-depth analysis of the multifractal characteristics and displacement prediction of highway slope surface displacement sequences ...
Xiaofei Sun, Ying Su, Chengtao Yang, Junzhe Tan, Dunwen Liu   +4 more
doaj   +1 more source

Data‐Driven Discovery of Classical and Anomalous Transport Models From Sparse Breakthrough Curves in Heterogeneous Porous Media via Symbolic Regression

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 6, December 2026.
Abstract Natural porous media are highly heterogeneous, with flow and transport controlled by pore‐space morphology and connectivity. Consequently, classical continuum models often fail to describe observed transport under strong heterogeneity. A key challenge is identifying physically interpretable transport models from sparse observational data.
Jinwoo Im, Felipe P. J. de Barros, Sami Masri, Muhammad Sahimi   +3 more
wiley   +1 more source

FRACTAL GEOMETRY IN AGRICULTURAL CASH PRICE DYNAMICS [PDF]

Agricultural prices are determined by natural and socio-economic factors that are known to be self-similar at different time scales and to follow non-periodic cyclical patterns.
Frechette, Darren L., Jin, Hyun Joung
core  

Control of second α-order systems using fractal PD and PID controllers

This paper studies second α-order dynamical systems within the framework of fractal calculus and examines their behavior under fractal proportional–derivative (FPD) and fractal proportional–integral–derivative (FPID) controllers.
Damián-Adame, Lucero, Banchuin, Rawid, Khalili Golmankhaneh, Alireza, Torres, Delfim F. M.   +3 more
core   +1 more source

Fractal Curves from Prime Trigonometric Series

, 2018
We study the convergence of the parameter family of series: V α , β ( t ) = ∑ p p − α exp ( 2 π i p β t ) , α , β ∈ R > 0 , t ∈ [ 0 , 1 ) defined over prime numbers p and, subsequently, their differentiability ...
Doris Bohnet, Dimitris Vartziotis
core   +1 more source

Generalized Scheme For Fractal Based Digital Signature (GFDS). [PDF]

, 2007
This paper describes a new development in the cryptographic digital signature scheme based on Mandelbrot and Julia fractal sets. Recently it has been shown that it is possible to have digital signature scheme based on fractal due to the strong connection
Alia, Mohammad Ahmad, Samsudin, Azman
core   +1 more source

Terrain complexity index: a novel metric for estimating multiscale three-dimensional terrain structure of montane areas based on digital elevation model

Science of Remote Sensing
Terrain complexity for describing the heterogenicity of terrains plays a key role in many disciplines, including geographic information science, atmospheric boundary layer meteorology, and ecology.
Dexiong Teng, Jiaojun Zhu, Jin Chen, Tian Gao, Fengyuan Yu, Yirong Sun, Lizhong Yu, Yuan Zhu, Jinxin Zhang, Xinhua Zhou   +9 more
doaj   +1 more source

ConvNeXt‐FD: Fractal Dimension‐Regularized ConvNeXt for Robust Biomedical Image Segmentation

Expert Systems, Volume 43, Issue 12, December 2026.
ABSTRACT Biomedical image segmentation is a critical task in medical diagnosis and treatment planning, enabling precise delineation of anatomical structures and pathological regions. Despite significant advancements, challenges persist due to the inherent variability, noise and complex morphology present in diverse medical imaging modalities.
Joao Batista Florindo, Amanda Pontes de Oliveira Ornelas, Gwanggil Jeon   +2 more
wiley   +1 more source