Article
Physics, Fluids & Plasmas
Jun Yamamoto, Kousuke Yakubo
Summary: Research on large-scale real-world networks has revealed the presence of structural multifractality, particularly bifractality, in many networks with scale-free and fractal properties. This study investigates the multifractal property of various fractal scale-free networks (FSFNs) and demonstrates the prevalence of bifractality in these networks. The findings suggest that any FSFN is bifractal and position the lower and higher local fractal dimensions as descriptors of substructures around hub nodes and finite-degree nodes, respectively. The results provide valuable insights for understanding dynamic phenomena on FSFNs, such as information diffusion and synchronization, from a unified perspective.
Article
Computer Science, Artificial Intelligence
Jing Chen, Min Xiao, Youhong Wan, Chengdai Huang, Fengyu Xu
Summary: This article investigates a large-scale neural network model with a ring-hub structure using fractional-order delayed differential equations. The stability and Hopf bifurcation of the model are analyzed by obtaining the characteristic equation of the linearized model and providing numerical examples to support the theoretical results.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Physics, Multidisciplinary
Kiriil Kovalenko, Irene Sendina-Nadal, Nagi Khalil, Alex Dainiak, Daniil Musatov, Andrei M. Raigorodskii, Karin Alfaro-Bittner, Baruch Barzel, Stefano Boccaletti
Summary: The paper introduces a mechanism for generating synthetic simplicial complexes that display desired statistical properties observed in the real world, and can be straightforwardly extended to higher-order structures. The model constructs networks with scale-free degree distribution and bounded or scale-free generalized degree distribution through preferential and/or nonpreferential attachment mechanisms, providing analytical control of scaling exponents to construct synthetic complexes with desired statistical properties.
COMMUNICATIONS PHYSICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Parikshat Sirpal, William A. Sikora, Hazem H. Refai, Yuan Yang
Summary: In this study, EEG signals were used to analyze the statistical differences between chronic pain patients and chronic pain patients using opioids. The results showed that patients not taking opioids had lower HFD values, indicating brain dysfunction and reduced neural processing. These results suggest that the loss of complexity in EEG can be used as a biomarker for chronic pain and subsequent opioid use.
FRACTAL AND FRACTIONAL
(2023)
Article
Physics, Multidisciplinary
Shuang Zhou, Xingyuan Wang, Wenjie Zhou, Chuan Zhang
Summary: In this paper, a method using the density peak based clustering algorithm to identify the scale-free interval is proposed, which is validated through experiments and shown to be feasible. Additionally, a new method for fractional dimension calculation theory is proposed.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Marcus V. Alves Ribeiro, Aurel Jurjiu, Mircea Galiceanu
Summary: The relaxation dynamics of a new type of hyperbranched polymer networks constructed using a degree distribution specific to scale-free networks are studied. The topology of the networks is controlled by three parameters: gamma, K-min, and K-max. The influence of these parameters and the stiffness parameter q on the relaxation quantities is investigated. Various scaling behaviors are observed in the dynamical quantities for different combinations of the parameters.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Multidisciplinary Sciences
Linqing Liu, Mengyun Shen, Chang Tan
Summary: The study found that approximately 38% to 69% of product networks in capacity-weighted networks exhibit scale-free characteristics, with differences in scale-free characteristics depending on the technology. Contrary to expectations, exports of high-technology products are not concentrated in a few developed countries.
SCIENTIFIC REPORTS
(2021)
Article
Computer Science, Interdisciplinary Applications
Ankit Sharma, Amit Kohar, Suresh Kumar Jakhar, Sonia
Summary: The study highlights the trend of coopetition among airlines due to rising costs and competition pressure, which have led to the need for collaborative alliances. A mixed-integer linear programming formulation is proposed and numerical experiments show that coopetitive alliances can ensure stable profit levels.
COMPUTERS & INDUSTRIAL ENGINEERING
(2021)
Article
Physics, Fluids & Plasmas
Nikita Frolov, Alexander Hramov
Summary: This paper explores the extension of self-organized bistability (SOB) on scale-free networks under coupling constraints. The study finds that SOB on scale-free networks originates from facilitated criticality and replicates extreme properties of epileptic seizure recurrences.
Article
Computer Science, Artificial Intelligence
Rui Huang, Ping Li
Summary: Graph neural networks (GNNs) have become the most widely used techniques for irregular data analysis. However, excessive convolution on graph can lead to over-smoothing and performance degradation. In this study, a novel edge dropout method is proposed to retrain early over-smoothing in graph learning, and the siamese network architecture is introduced to alleviate the inconsistency problem. Extensive experiments show that the proposed method consistently leads to improved performance and significantly outperforms the standard DropEdge.
KNOWLEDGE-BASED SYSTEMS
(2023)
Article
Mathematics, Applied
Zahra Shahriari, Shannon D. Algar, David M. Walker, Michael Small
Summary: We propose a robust algorithm for constructing first return maps of dynamical systems from time series without embedding. Our method is based on ordinal partitions of the time series, and the first return map is constructed from successive intersections with specific ordinal sequences. We define entropy-based measures to guide our selection of the ordinal sequence for a good first return map and show that this method can robustly be applied to time series from classical chaotic systems.
Article
Automation & Control Systems
Yuezhong Zhang, Min Xiao, Jinde Cao, Wei Xing Zheng
Summary: This paper investigates the dynamical analysis and design of a class of large-scale-delayed fractional-order neural networks with multiple rings and hub structure. The conditions for neural network bifurcation are established by analyzing the connections of neurons, and the theoretical results are verified through numerical simulation experiments.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Mathematics, Applied
Jinjun Li, Zhiyi Wu
Summary: We prove that the Beurling dimensions of the spectra for a class of Moran spectral measures are between 0 and their upper entropy dimensions. Moreover, for such a Moran spectral measure, we show that the Beurling dimension for the spectra of the measure has the intermediate value property. Furthermore, we prove that the set of the spectra whose Beurling dimensions are equal to any fixed value in 0 and the upper entropy dimension has the cardinality of the continuum.
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
(2024)
Article
Multidisciplinary Sciences
Csenge G. Horvath, Orsolya Szalardy, Peter P. Ujma, Peter Simor, Ferenc Gombos, Ilona Kovacs, Martin Dresler, Robert Bodizs
Summary: Understanding the dynamics of human sleep features during the course of sleep is crucial for sleep regulation. By analyzing sleep records of 251 healthy human subjects, this study reveals the changes in spectral slopes and intercepts during consecutive sleep cycles, which are significant predictors of sleep intensity. The findings suggest that scale-free and oscillatory measures of sleep EEG can provide composite measures of sleep dynamics and offer new insights into sleep regulatory processes.
SCIENTIFIC REPORTS
(2022)
Article
Computer Science, Information Systems
Jinlong Ma, Junfeng Zhang, Yongqiang Zhang
Summary: A new gravitation path routing strategy is proposed in this paper, which aims to improve network traffic capacity by selecting optimal paths based on the gravitational centrality of nodes. Simulation results show that this strategy is more effective than a previous efficient routing strategy proposed by Yan et al.
Article
Physics, Multidisciplinary
H. -H. Yoo, D. -S. Lee
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
(2018)
Review
Physics, Multidisciplinary
Deokjae Lee, B. Kahng, Y. S. Cho, K. -I. Goh, D. -S. Lee
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
(2018)
Article
Mechanics
Seong Eun Maeng, Jae Woo Lee, Deok-Sun Lee
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2019)
Article
Physics, Multidisciplinary
P. Kim, B. Kahng, K. Han, D-S. Lee
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
(2019)
Article
Multidisciplinary Sciences
Sung-Gook Choi, Deok-Sun Lee
SCIENTIFIC REPORTS
(2019)
Article
Multidisciplinary Sciences
Mi Jin Lee, Kanghun Kim, Junik Son, Deok-Sun Lee
SCIENTIFIC REPORTS
(2020)
Article
Mathematics, Interdisciplinary Applications
Jongshin Lee, Kwang-Il Goh, Deok-Sun Lee, B. Kahng
Summary: In this study, we propose a method called (k, q)-core decomposition to identify influential subgroups in hypergraphs. We analyze the pruning dynamics and percolation transition in random hypergraphs using theoretical and numerical methods. Our results show a hybrid percolation transition for k > 3 or q > 3, and we obtain critical exponents that are confirmed through analysis. We also discover a unconventional degree-dependent critical relaxation dynamics when k = q = 2. Finally, we apply the (k, q)-core decomposition to a real coauthorship dataset and successfully recognize leading groups at an early stage.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Fluids & Plasmas
Mi Jin Lee, Jung-Ho Kim, Kwang-Il Goh, Sang Hoon Lee, Seung-Woo Son, Deok-Sun Lee
Summary: In this study, we investigate the impact of node removal on degree distribution in networked systems using relative entropy. By introducing node removal processes with different levels of hub protection, we classify and study the altered degree distributions in different scenarios. The results show that there are two distinct regimes in the parameter space, one where the degree distribution is closer to the power-law reference distribution and the other closer to the Poisson distribution.
Article
Physics, Fluids & Plasmas
Hyun Woo Lee, Jae Woo Lee, Deok-Sun Lee
Summary: This study investigates species abundance in empirical plant-pollinator mutualistic networks using the Lotka-Volterra equation. By applying the annealed approximation and analyzing parameters, we identify different stable fixed points and obtain the phase diagram. The findings show that in the selective extinction phase, low-degree species go extinct, maintaining stability and supporting the theoretical predictions.
Article
Physics, Multidisciplinary
Mi Jin Lee, Eun Lee, Byunghwee Lee, Hawoong Jeong, Deok-Sun Lee, Sang Hoon Lee
Summary: This study focuses on the framework for discovering hidden dependent relationships in weighted networks by selecting essential interactions for individual nodes based on information entropy. The analysis reveals that nations in the world trade network exhibit more asymmetric dependent relations compared to their random counterparts, while relationships among individuals in the historical record of Korea are more mutual.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Biochemistry & Molecular Biology
Matteo Mori, Zhongge Zhang, Amir Banaei-Esfahani, Jean-Benoit Lalanne, Hiroyuki Okano, Ben C. Collins, Alexander Schmidt, Olga T. Schubert, Deok-Sun Lee, Gene-Wei Li, Ruedi Aebersold, Terence Hwa, Christina Ludwig
Summary: Accurate quantification of over 2,000 proteins in Escherichia coli under > 60 growth conditions using a new mass spectrometry workflow led to novel biological findings, providing valuable resources for systems biology and future multi-omics studies.
MOLECULAR SYSTEMS BIOLOGY
(2021)
Article
Physics, Fluids & Plasmas
Sung-Gook Choi, Deok-Sun Lee
Summary: The study found that the local logarithmic export distributions by destinations and products approximately follow a Gaussian distribution across exporters and time, with a non-zero skewness identified changing from positive to negative as exporters have more partner importers and more product categories. This uncovers the fundamental nature of the export strategies of individual countries by analyzing how local exports depend on the out-degree of the exporter and the in-degrees of destinations or products.
Article
Physics, Fluids & Plasmas
Heung Kyung Kim, Mi Jin Lee, Matthieu Barbier, Sung-Gook Choi, Min Seok Kim, Hyung-Ha Yoo, Deok-Sun Lee
Article
Physics, Fluids & Plasmas
Mi Jin Lee, Deok-Sun Lee
Article
Physics, Fluids & Plasmas
Chang-Young Oh, D. -S. Lee