Article
Physics, Multidisciplinary
Rafal Rak, Ewa Rak
Summary: Describing reality using the language of complex networks has become popular and useful. However, existing methods of multifractal analysis only consider the connection between nodes and do not account for their positions in space. This paper proposes a method that takes into account both connections and positions of nodes, and tests it on different geometrical variants of networks.
Article
Mathematics, Interdisciplinary Applications
Luiz Alberto Pereira de Sa, Kallil M. C. Zielinski, Erick Oliveira Rodrigues, Andre R. Backes, Joao B. Florindo, Dalcimar Casanova
Summary: The fractal dimension is an important feature for characterizing the behavior and dynamics of complex networks. Existing methods for estimating the fractal dimension in complex networks have been proposed, but there is no known adaptation for the Bouligand-Minkowski method. In this study, we propose an adaptation of the Bouligand-Minkowski method for measuring the fractal dimension of complex networks and verify its potential in a classification task.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Applied
Ralph G. Andrzejak
Summary: Complex-valued quadratic maps exhibit various dynamic behaviors depending on the parameter c, including convergence, periodic cycles, aperiodic behavior, or divergence. Coupled networks of quadratic maps can display synchronization, desynchronization, and chimera states, with boundaries between bounded and divergent solutions being fractals. The set of bounded solutions is divided into countless subsets, each containing only one synchronization state, enclosed within fractal boundaries.
Article
Physics, Multidisciplinary
Sheng Zhang, Wenxiang Lan, Weikai Dai, Feng Wu, Caisen Chen
Summary: The paper extends the correlation dimension to weighted networks and uses edge-weights accumulation to obtain scale distances. The method was validated for the fractal scaling analysis of weighted complex networks and demonstrated to be more suitable for the quantitative analysis of small-world effects when compared to other fractal dimensions.
Article
Mathematics, Interdisciplinary Applications
Qiuming Cheng
Summary: Fractional calculus has gained attention for its applications in complex and nonlinear systems. However, the challenge lies in relating functions to fractal geometries. This paper demonstrates how fractal calculus can be used to represent physical properties such as density defined on fractal geometries. The results show insights into the nonlinearity of earthquake swarm depth distribution.
FRACTAL AND FRACTIONAL
(2023)
Article
Mathematics
Francisco Martinez, Hermann Manriquez, Alberto Ojeda, Gabriel Olea
Summary: This study estimated the fractal dimension of Chilean river networks for the first time and analyzed their distribution at different scales. The results suggest that the fractal dimension can help describe the complex morphology of Chilean networks and its relationship with hydrological, climatic, and tectonic conditions.
Article
Computer Science, Interdisciplinary Applications
Qingcheng Zeng, Keqin Cui, Wenjia Ma, Lifeng Xi
Summary: In this paper, a class of growing networks is constructed using the encoding method of the iterated function system based on a planar self-similar fractal. It is demonstrated that these networks exhibit the small-world and scale-free effects.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2023)
Article
Mathematics, Interdisciplinary Applications
Kangle Wang, Chunfu Wei, Feng Ren
Summary: This paper studies the fractal Boussinesq-Kadomtsev-Petviashvili-like model (FBKPLM) based on the local fractional derivative (LFD) on Cantor sets. Two efficient mathematical approaches, fractal variational method (FVM) and fractal Yang wave method (FYWM), are successfully implemented to obtain different types of fractal traveling wave solutions of the FBKPLM.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2022)
Article
Nanoscience & Nanotechnology
Shuang Wang, Jing Li, Shike Hu, He Kang, Sunwen Zhao, Runhan Xiao, Yanping Sui, Zhiying Chen, Songang Peng, Zhi Jin, Xinyu Liu, Yanhui Zhang, Guanghui Yu
Summary: This study found that monolayer MoS2 grown under non-thermodynamic equilibrium conditions exhibits excellent electro-catalytic performance for hydrogen evolution reaction (HER), with dendritic edge nanostructures providing higher catalytic site densities than triangular samples synthesized under thermodynamic equilibrium conditions.
ACS APPLIED NANO MATERIALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Andre Gusso, Leandro E. de Mello
Summary: The concept of basin entropy (S-b) is introduced recently to characterize the complexity of basins of attraction, establishing a connection with the uncertainty exponent alpha for calculating the fractal dimension of basin boundaries. The method shows excellent performance in calculating d for various artificial uniform fractals, proposing a simple criterion for choosing boxes and justifying the exclusion of small boxes with low resolution. The approach can be applied to determine the dimension of boundaries in any image with two distinct regions.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Applied
Bing Wang, Jia Zhu, Daijun Wei
Summary: This paper explores the self-similarity of complex networks using the degree-degree distance, proposing a box-covering algorithm to calculate the dimension of networks based on this distance. The results show that some complex networks exhibit self-similarity from the perspective of degree-degree distance, indicating the reasonableness of the proposed method.
MODERN PHYSICS LETTERS B
(2021)
Article
Physics, Multidisciplinary
R. Matthias Geilhufe, Bart Olsthoorn, Alexander V. Balatsky
Summary: The methodology adapted from data science has driven the emergence of materials informatics, with materials databases playing a central role. Utilizing artificial intelligence on these databases enables the prediction of properties of complex organic crystals.
Article
Energy & Fuels
Qiang He, Bo He, Fengxia Li, Aiping Shi, Jiang Chen, Lingzhi Xie, Wenxiang Ning
Summary: The study conducted physical simulation experiments of hydraulic fracturing on cubic shale oil samples from the Yanchang Formation, China, and investigated the complexity of fracture networks using fractal theory and topology. The results show that the complexity of fracture networks after fracturing can be divided into four levels based on different horizontal stress ratios or fluid viscosities according to fractal dimensions and number of connections per branch.
Article
Chemistry, Multidisciplinary
Eric R. R. Hoglund, De-Liang Bao, Andrew O'Hara, Thomas W. W. Pfeifer, Md Shafkat Bin Hoque, Sara Makarem, James M. M. Howe, Sokrates T. T. Pantelides, Patrick E. E. Hopkins, Jordan A. A. Hachtel
Summary: Grain boundaries are a common microstructural feature that greatly influence the functionality of various materials. Extensive experimental and theoretical studies have been conducted to understand the correlation between atomic-scale grain boundary structures and macroscopic properties. In this study, a SrTiO3 grain boundary was examined using advanced microscopy and spectroscopy techniques, along with density functional theory. The results provide insights into the impact of individual boundaries on macroscopic properties through the analysis of localized grain boundary vibrations.
ADVANCED MATERIALS
(2023)
Article
Mathematics
Alexandra Saviuc, Manuela Girtu, Liliana Topliceanu, Tudor-Cristian Petrescu, Maricel Agop
Summary: The text discusses analyzing the non-differentiable behaviors in the dynamics of a complex fluid combined with a fractal object, implementing holographic regimes through fractal solitons, fractal kinks, and Airy functions. The in-phase coherence among structural units of the complex fluid induces various operational procedures, leading to a possible scenario towards chaos without necessarily concluding in chaos. Special cubic structures, differential geometries, and harmonic mapping principles are utilized to mimic this chaotic scenario.
Article
Computer Science, Interdisciplinary Applications
Reuven Cohen, Mira Gonen, Asaf Levin, Shmuel Onn
JOURNAL OF COMBINATORIAL OPTIMIZATION
(2017)
Article
Operations Research & Management Science
Reuven Cohen, Mira Gonen
ANNALS OF OPERATIONS RESEARCH
(2019)
Article
Physics, Multidisciplinary
Chittaranjan Hens, Uzi Harush, Simi Haber, Reuven Cohen, Baruch Barzel
Article
Computer Science, Information Systems
Michal Yemini, Anelia Somekh-Baruch, Reuven Cohen, Amir Leshem
IEEE TRANSACTIONS ON INFORMATION THEORY
(2019)
Article
Multidisciplinary Sciences
Adar Hacohen, Reuven Cohen, Sol Efroni, Baruch Barzel, Ido Bachelet
SCIENTIFIC REPORTS
(2019)
Article
Multidisciplinary Sciences
Dror Meidan, Nava Schulmann, Reuven Cohen, Simcha Haber, Eyal Yaniv, Ronit Sarid, Baruch Barzel
Summary: The alternating quarantine strategy effectively reduces infectious interactions and provides a significant decrease in transmission while maintaining socioeconomic continuity. The weekly alternations also help address the specific challenge of COVID-19 by isolating the majority of infected individuals precisely at the time of their peak infection.
NATURE COMMUNICATIONS
(2021)
Letter
Physics, Multidisciplinary
Chittaranjan Hens, Uzi Harush, Simcha Haber, Reuven Cohen, Baruch Barzel
Article
Physics, Fluids & Plasmas
Nir Schreiber, Reuven Cohen, Simi Haber, Gideon Amir, Baruch Barzel
Article
Law
Oren Perez, Reuven Cohen, Nir Schreiber
REGULATION & GOVERNANCE
(2019)
Review
Law
Oren Perez, Judit Bar-Ilan, Reuven Cohen, Nir Schreiber
Article
Physics, Fluids & Plasmas
Nir Lahav, Irene Sendina-Nadal, Chittaranjan Hens, Baruch Ksherim, Baruch Barzel, Reuven Cohen, Stefano Boccaletti
Article
Physics, Multidisciplinary
Y. Lin, A. Patron, S. Guo, R. Kang, D. Li, S. Havlin, R. Cohen
Article
Physics, Fluids & Plasmas
Filippos Lazaridis, Bnaya Gross, Michael Maragakis, Panos Argyrakis, Ivan Bonamassa, Shlomo Havlin, Reuven Cohen
Article
Physics, Fluids & Plasmas
Nir Schreiber, Reuven Cohen, Simi Haber
Article
Physics, Fluids & Plasmas
Amikam Patron, Reuven Cohen, Daqing Li, Shlomo Havlin