Results 41 to 50 of about 1,561 (174)

Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers

Fractal and Fractional, 2019
Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of these sets for dynamical systems over the hyperbolic numbers.
Vance Blankers, Tristan Rendfrey, Aaron Shukert, Patrick D. Shipman   +3 more
doaj   +1 more source

On Benford’s Law and the Coefficients of the Riemann Mapping Function for the Exterior of the Mandelbrot Set

Fractal and Fractional, 2022
We investigate Benford’s law in relation to fractal geometry. Basic fractals, such as the Cantor set and Sierpinski triangle are obtained as the limit of iterative sets, and the unique measures of their components follow a geometric distribution, which ...
Filippo Beretta, Jesse Dimino, Weike Fang, Thomas C. Martinez, Steven J. Miller, Daniel Stoll   +5 more
doaj   +1 more source

Temporal Scaling of Hydrological Signals Reveals Forcing Persistence and Watershed Filtering Across the Contiguous U.S.

Geophysical Research Letters, Volume 53, Issue 21, 16 November 2026.
Abstract Streamflow temporal persistence reflects both hydrological inputs and watershed filtering, but their relative contributions remain difficult to distinguish. We analyzed spectral scaling in precipitation, evapotranspiration, effective precipitation, streamflow, and the effective precipitation‐to‐streamflow transfer function across 671 ...
Yunqiu Zhou, Yi Zheng, Yingjie Yang, Xiuyu Liang   +3 more
wiley   +1 more source

Fractal Dimension of Shallow Cumulus Cloud Boundaries Beyond Bulk Fractal Scaling

Geophysical Research Letters, Volume 53, Issue 20, 28 October 2026.
Abstract Cloud boundaries reflect turbulent mixing and cloud–environment interactions, but their geometric complexity remains poorly quantified. Here, we investigate the complexity of shallow cumulus cloud edge using two fractal approaches: the bulk area–perimeter method and the individual‐cloud box‐counting method.
Qiqi Song, Jingyi Chen, Martin Janssens, Chunsong Lu   +3 more
wiley   +1 more source

Assessing Habitat Suitability and Exposure of the Endemic Vasconcellea candicans Under Climate Change and Urban Growth in Lima, Peru

Ecology and Evolution, Volume 16, Issue 10, October 2026.
This study integrated ensemble species distribution modelling and urban growth projections to evaluate current and future habitat suitability of V. candicans in the lomas ecosystems surrounding Lima under climate change and urban expansion scenarios. Results identified 2891 km2 of current high‐suitability habitat, with strong scenario‐dependent future ...
Rebeca M. Cruz‐Zegarra, Jhade R. Gutierrez‐Gutierrez, Abner S. Rivera‐Fernandez, Alexander Cotrina‐Sanchez, Samuel Astete   +4 more
wiley   +1 more source

Fractals: An Eclectic Survey, Part-I

Fractal and Fractional, 2022
Fractals are geometric shapes and patterns that may repeat their geometry at smaller or larger scales. It is well established that fractals can describe shapes and surfaces that cannot be represented by the classical Euclidean geometry.
Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary, Mohammad Sajid   +3 more
doaj   +1 more source

Heat Transfer Enhancement in the Microscale: Optimization of Fluid Flow

Engineering Reports, Volume 8, Issue 10, October 2026.
Microscale heat transfer deviates from conventional behavior due to scale effects and fluid properties. This review examines single‐phase convection and advanced working fluids, highlighting key mechanisms such as rarefaction, surface effects, and phase interactions, to guide optimized design of high‐performance microchannel heat exchangers.
Md Atiqur Rahman, Abhinav Adarsh, Dharani Kurri, Aishwarya Gittoju, Prabhu Paramasivam, S. M. Mozammil Hasnian, Abinet Gosaye Ayanie   +6 more
wiley   +1 more source

Deterministic Fractal Plasmonic Metasurfaces for Broadband Mid‐Infrared Molecular Biosensing

Advanced Photonics Research, Volume 7, Issue 9, September 2026.
This image illustrates a sensing platform based on deterministic fractal plasmonic metasurfaces, designed to overcome the persistent trade‐off between sensitivity and spectral bandwidth in surface‐enhanced infrared absorption (SEIRA) spectroscopy. At the heart of the schematic is a hierarchical subwavelength gold aperture array featuring self‐similar ...
Xiangchao Zhu, Hoi‐Ying N. Holman
wiley   +1 more source

On the Stability Domain of a Class of Linear Systems of Fractional Order

Fractal and Fractional, 2022
In this paper, the shape of the stability domain Sq for a class of difference systems defined by the Caputo forward difference operator Δq of order q∈(0,1) is numerically analyzed.
Marius-F. Danca
doaj   +1 more source

The Seepage Characteristics of Single Rough Joint of Granite Based on NMR Technology: A Modified Cubic Law

Energy Science &Engineering, Volume 14, Issue 9, Page 4261-4281, September 2026.
The low‐field nuclear magnetic resonance (NMR) measurements are applied to investigate the seepage characteristics of the single rough joint. The purpose of this paper is to investigate the seepage characteristics of granite specimens with single‐joint channel under the different roughness, confining pressures and seepage pressures.
Hao Cheng, Xiujie Zhong
wiley   +1 more source