One-Dimensional Hurwitz Spaces, Modular Curves, and Real Forms of Belyi Meromorphic Functions by Antonio F. Costa, Milagros Izquierdo, Gonzalo Riera

“…Finally, we study the real forms of the Belyi projection ℋDp¯→ℂ^ and show that there are two nonbicoformal equivalent such real forms which are topologically conjugated.…”
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Advanced Rectifier Technologies for Electrolysis-Based Hydrogen Production: A Comparative Study and Real-World Applications by Yan Gao, Xiongzheng Wang, Xin Meng

“…In response to the growing significance of hydrogen as a clean energy carrier, this study investigates the advanced rectifier technologies employed in electrolytic hydrogen production. First, the topologies of three rectifiers typically employed in industry—24-pulse thyristor rectifiers, insulated gate bipolar transistor (IGBT) rectifiers, and 24-pulse diode rectifiers with multi-phase choppers—are described in detail. …”
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Impacts of hunting cooperation and prey harvesting in a Leslie-Gower prey-predator system with strong Allee effect by Na Min, Hongyang Zhang, Xiaobin Gao, Pengyu Zeng

“…We studied the existence and type of singularities, including primary singularities and higher-order singularities. Using topological equivalent and the blow-up method, we proved that the origin was the attractor, and a defined basin of attraction was given. …”
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Analysis and Control of Fractional Order Generalized Lorenz Chaotic System by Using Finite Time Synchronization by Yan Cui, Hongjun He, Guan Sun, Chenhui Lu

“…We found that the fractional order chaotic system belongs to the generalized Lorenz system family by analyzing its linear term and topological structure. We also found that the equilibrium point generated by the fractional order system belongs to the unstable saddle point through the prediction correction method and the fractional order stability theory. …”
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Kinematics Analysis and Parameter Optimization of a Novel 3T1R Parallel Robot Mechanism by Huajuan Xu, Hongwei Li, Chunyan Zhang

“…According to the orientation characteristic equation， the topological structure of the mechanism is analyzed， and the kinematics equation model is established by the constraint condition of the length of the rod， and the forward and inverse solution analysis is completed. …”
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Propagation of Uncertain Events in Multilevel Handlings at Container Terminals from the Perspective of Hypernetwork by Bowei Xu, Lingling Wang, Junjun Li

“…In this paper, the uncertain event propagation network model of container terminal multilevel handlings is constructed by using the hypernetwork theory, and the propagation influence of uncertain events between multilevel handlings at container terminals is considered. Through the topological characteristics of the uncertain event propagation network, the risk analysis is carried out for the relevance of nodes and the influence extent of uncertain events, and a simulation analysis is carried out to verify the validity of this model. …”
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Using neuroevolution for designing soft medical devices by Hugo Alcaraz-Herrera, Michail-Antisthenis Tsompanas, Igor Balaz, Andrew Adamatzky

“…The actuator morphologies discovered by algorithms like Age-Fitness Pareto Optimisation, NeuroEvolution of Augmenting Topologies (NEAT), and Hypercube-based NEAT (HyperNEAT) were compared based on the maximum displacement reached and their robustness against various control methods. …”
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Multicompare Tests of the Performance of Different Metaheuristics in EEG Dipole Source Localization by Diana Irazú Escalona-Vargas, Ivan Lopez-Arevalo, David Gutiérrez

“…In case of localizing two correlated sources, we found that PSO (ring and tree topologies) and DE performed the worst, then they should not be considered in large-scale EEG source localization problems. …”
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High-order optical Hall effect at the tight focus of laser radiation by V.V. Kotlyar, S.S. Stafeev, E.S. Kozlova

“…It is shown that when focusing a linearly polarized optical vortex with unit topological charge, four local subwavelength regions are formed in the focal plane, in which directions of the longitudinal projection of the spin angular momentum are opposite in the neighboring regions. …”
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Porous Biodegradable Metals for Hard Tissue Scaffolds: A Review by A. H. Yusop, A. A. Bakir, N. A. Shaharom, M. R. Abdul Kadir, H. Hermawan

“…With further optimization in topologically ordered porosity design exploiting material property and fabrication technique, porous biodegradable metals could be the potential materials for making hard tissue scaffolds.…”
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Traffic Prediction of Space-Integrated-Ground Information Network Based on Improved LSTM Algorithm by Chengsheng PAN, Yufu WANG, Li YANG

“…The space-integrated-ground information network is easy to interrupt and the traffi c fl uctuation is not stable due to the problems of high traffi c burst and topological time-varying, which makes the traffi c prediction diffi cult much higher than the ground.In order to solve this problem, an improved LSTM algorithm was put forward.Firstly, the traffi c autocorrelation was judged by analyzd the infl uence of the lag variable of traffi c sequence on the predicted value; Secondly, the noise and breakpoint of the training set were eliminated by replacing the interruption with the predicted value; Finally, Dropout algorithm was used to reduce the impact of noise and neural network over fi tting, and accurately predict the traffi c data of the integrated intelligent network.The simulation results showed that in OPNET simulation environment, compared with other algorithms, the accuracy of this algorithm was improved by 59.21%, and the training speed of the algorithm was improved by 11.11%, which could provide eff ective data support for the overall scheduling of the integrated intelligent network.…”
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Observation of anti-PT-symmetry and higher-order exceptional point PT-symmetry in ternary systems for single-mode operation by Milad Jahangiri, Gholam-Mohammad Parsanasab, Leila Hajshahvaladi

“…Abstract Nowadays, topological parity-time (PT) and anti- parity-time (APT) symmetry systems have attracted substantial attention due to their noticeable features and specific applications. …”
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A Green AI Methodology Based on Persistent Homology for Compressing BERT by Luis Balderas, Miguel Lastra, José M. Benítez

“…In this article, Persistent BERT Compression and Explainability (PBCE) is proposed, a Green AI methodology to prune BERT models using persistent homology, aiming to measure the importance of each neuron by studying the topological characteristics of their outputs. As a result, PBCE can compress BERT significantly by reducing the number of parameters (47% of the original parameters for BERT Base, 42% for BERT Large). …”
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A new computational method for sparse optimal control of cyber-physical systems with varying delay by Sida Lin, Dongyao Yang, Jinlong Yuan, Changzhi Wu, Tao Zhou, An Li, Chuanye Gu, Jun Xie, Kuikui Gao

“…In practice, network operators tend to choose sparse communication topologies to cut costs, and the concurrent use of a communication network by multiple users commonly results in feedback delays. …”
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Analytical Estimation of Induced Voltage in Rotating Electrical Machines by Marius Meiswinkel, Amir Ebrahimi, Anjali Biju

“…In this paper, the projection function is used to present a general method of estimating induced voltage in rotating machines with different winding topologies. This has been done for integer and fractional multi-layer windings in different machines, as well as the damper bars in the rotor. …”
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UV-induced reorganization of 3D genome mediates DNA damage response by Veysel Oğulcan Kaya, Ogün Adebali

“…We demonstrate that UV radiation triggers a comprehensive restructuring of the 3D genome organization at all levels, including loops, topologically associating domains and compartments. Through the analysis of DNA damage and excision repair maps, we uncover a correlation between genome folding, gene regulation, damage formation probability, and repair efficacy. …”
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Bayesian Inference of Elevation to Reduce Large Interpolation Errors in 2-d Road Features Draped Over Digital Elevation Models by Crispin H. V. Cooper

“…This paper introduces a Bayesian maximum likelihood approach to correcting interpolated heights, by combining a DEM with prior expectations of feature gradient. The topological network defined by feature shapes is used as auxiliary information. …”
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PRIMARY RESONANCE ANALYSIS OF ARM SYSTEM UNDER BOUNDED NARROW⁃BAND EXCITATION by YANG ZhiAn, MAN ZhiJun, LIU WenYang

“…By using multi⁃scales method,the first primary resonance of the human arm and vibration mechanical coupling system under random narrow⁃band excitation was analyzed,and the two⁃degree⁃of⁃freedom nonlinear dynamic equation of the arm system was established.The first primary resonance amplitude frequency response equation and Ito stochastic differential equation of the system were solved in turn.In order to study the distribution law of variables under random vibration,the approximate expressions of the expectation and mean square value of the first primary resonance random mean square response were calculated using the moment estimation method.The influence of the parameters of the human arm system on the primary resonance was obtained through numerical analysis.The results show that the mean square response curves of the first primary resonance have the same topological structure as their amplitude⁃frequency response curves,and the mean square value of the primary resonance amplitudes and the resonance region increase with the increase of the amplitude of the external excitation,while the increase of the system damping will reduce the mean square value and the resonance region.The change of nonlinear stiffness coefficient has little effect on the system.…”
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Numerical and Scientific Investigation of Some Molecular Structures Based on the Criterion of Super Classical Average Assignments by A. Rajesh Kannan, Nazek Alessa, K. Loganathan, Balachandra Pattanaik

“…Numerous graph assignment techniques, including distance-based labeling, topological indices, and spectral graph theory, can be used to investigate molecule structures. …”
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A Double-Boost Converter Based on Coupled Inductance and Magnetic Integration by Hongzhu Li, Ling Zhu, Le Wang

“…The detailed analysis of the proposed converter and a comparison considering other topologies previously published in the literature are also presented in this article. …”
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