Publication

Fifth-generation fractal antenna design based on the Koch Snowflake geometry. A fractal theory application

Related publications (40)

Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1

Maria Colombo

We prove non-uniqueness for a class of weak solutions to the Navier???Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set of singular times with Hausdorff dimension strictly less than 1. ...
2022

Bistable-Type Interactions Of Complex Systems In A Fractal Paradigm Of Motion

Maria-Alexandra Paun

In the present paper the "interface" dynamics in the case of two complex systems interaction, assimilated to fractal-type mathematical objects, are analyzed. In such context, fractal bistable-type behaviors as transitions in the scale space are obtained. O ...
UNIV POLITEHNICA BUCHAREST, SCI BULL2022

Bistable-Type Interactions Of Complex Systems In A Fractal Paradigm Of Motion

Maria-Alexandra Paun

In the present paper the "interface" dynamics in the case of two complex systems interaction, assimilated to fractal-type mathematical objects, are analyzed. In such context, fractal bistable-type behaviors as transitions in the scale space are obtained. O ...
UNIV POLITEHNICA BUCHAREST, SCI BULL2022

On the 5G Communications: Fractal-Shaped Antennas for PPDR Applications

Maria-Alexandra Paun

In this study, one method of using antennas based on fractals to cover few kinds of public protection and disaster relief (PPDR) communications was presented. Dedicated antenna forms, necessary for antenna design by 5G implementation, were enhanced to suit ...
WILEY-HINDAWI2021

Additive and geometric transversality of fractal sets in the integers

Florian Karl Richter

By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we in ...
2021

Sensitivity analysis of fractal dimensions of crack maps on concrete and masonry walls

Katrin Beyer, Amir Rezaie

Assessing building damage after earthquakes requires a visual inspection of the damage, indicated by maps of the cracking pattern on walls, which could be standardized via automated algorithms. To quantitate this damage, fractal dimensions of these crack m ...
2020

Pulmonary X-Ray Images. A Fractal Analysis

Maria-Alexandra Paun

A method of analyzing human pulmonary X-rays using a few software procedures to process the images will be presented. Photographs of the lungs were investigated and images of the arteries were illustrated, successfully extracting the shadows due to the rib ...
AMER INST PHYSICS2020

Lorenz Type Behaviors Associated To Fractal-Non-Fractal Transition In The Dynamics Of The Complex Systems

Maria-Alexandra Paun

In the framework of Fractal Theory of Motion for the Scale Relativity Theory with arbitrary and constant fractal dimensions, dynamics in complex systems associated to the fractal-non-fractal transition are analyzed. Working with the assumption that these d ...
UNIV POLITEHNICA BUCHAREST, SCI BULL2019

Fractal Analysis Of Brain Glial Cells. Fractal Dimension And Lacunarity

Maria-Alexandra Paun

Both calculated quantities in the paper, fractal dimension and lacunarity respectively, prove high precision as foreteller to classify the glial cells tissue in various brain morphologies. The importance of microglia in neurodegenerative diseases and the i ...
UNIV POLITEHNICA BUCHAREST, SCI BULL2019

Fractal Analysis Of Neuroimagistics. Lacunarity Degree, A Precious Indicator In The Detection Of Alzheimer'S Disease

Maria-Alexandra Paun

The fractal dimension and lacunarity measurements of neuro-images were leveraged to differentiate between benign, biphasic and lacunarity tissue samples. For various benign and malignant subtypes, using the program developed by the authors, the fractal dim ...
UNIV POLITEHNICA BUCHAREST, SCI BULL2018

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