Reconstruction of the Radiation Belts for Solar Cycles 17–24 (1933–2017) by A. A. Saikin, Y. Y. Shprits, A. Y. Drozdov, D. A. Landis, I. S. Zhelavskaya, S. Cervantes

“…., 1933) to model the evolution radiation belt dynamics between L* = 1–6.6. A nonlinear auto regressive network with exogenous inputs (NARX) neural network was trained off GOES 15 measurements (January 2011–March 2014) and used to supply the upper boundary condition (L* = 6.6) over the course of solar cycles 17–24 (i.e., 1933–2017). …”
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Prediction of BlastInduced Ground Vibration (BIGV) of Metro Construction Using Difference Evolution AlgorithmOptimized Gaussian Process (DE-GP) by Tengfei Jiang, Annan Jiang, Shuai Zheng, Mengfei Xu

“…In view of the fact that traditional blasting peak particle velocity (PPV) empirical formulas cannot be accurately predicted, this study selected 88 sets of blasting monitoring data, based on distance from the blast-face, maximum charge per delay, total charge, hole depth, spacing, burden, stemming length, and powder factor being used as input variables and PPV being used as output variable to characterize BIGV. First, a nonlinear mapping relationship between input variables and output variable is established through the Gaussian process (GP). …”
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Predefined-Time <italic>H</italic> _&#x221E; Cooperative Control for Multi-Robot Systems Based on Adjustable Prescribed Performance Control and Adaptive Command Filter by Haitao Liu, Weichen Li, Xin Huang, Xuehong Tian, Qingqun Mai

“…Third, the predefined-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty } $ </tex-math></inline-formula> control theory is developed to guarantee that the nonlinear system has global predefined-time stabilization and that the <inline-formula> <tex-math notation="LaTeX">$L_{2}$ </tex-math></inline-formula> gain is less than <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula>. …”
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Creep Energy Evolution of Red-Bed Soft Rocks in South China under Chemical-Stress-Seepage Coupling by Shuguang Zhang, Fanyao Peng, Yingbo Li, Zhifeng Liu, Wenbo Liu

“…The elastic energy density and dissipated energy density in the loading stage and creep stage all increase nonlinearly with loading time. The density of dissipated energy in the creep phase is lower than that in the loading phase, but the opposite is true in the higher stress phase, and the law of energy dissipation can explain the hardening damage effect in the creep process of soft rock samples. …”
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Exponential Growth and Properties of Solutions for a Forced System of Incompressible Navier–Stokes Equations in Sobolev–Gevrey Spaces by José Luis Díaz Palencia

“…Utilizing the Banach fixed-point theorem, we demonstrate that the nonlinear operator associated with the Navier–Stokes equations is locally Lipschitz continuous in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>H</mi><mrow><mi>a</mi><mo>,</mo><mi>σ</mi></mrow><mn>1</mn></msubsup><mrow><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. …”
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Fabrication of a poly(m‑aminophenol)/3-aminopropyl triethoxysilane/graphene oxide ternary nanocomposite for removal of Cu(II) from aqueous solution by Abeer S. Elsherbiny, Mohamed E. Elhalwagy, Ali H. Gemeay

“…Furthermore, the isotherm data of the uptake of Cu(II) on PmAP/APTES/GO(6.6) were found to agree with the Freundlich and Langmuir model’s linear and nonlinear forms. Chemosorption was suggested by the Dubinin-Radushkevich (D-R) isotherm model as the calculated mean sorption energy exceeds 16 kJ/mol. …”
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Advances in Deep Brain Imaging with Quantum Dots: Structural, Functional, and Disease-Specific Roles by Tenesha Connor, Hemal Weerasinghe, Justin Lathia, Clemens Burda, Murat Yildirim

“…MPM, which relies on nonlinear photon absorption, enables fluorescence imaging within defined volumes, effectively reducing background noise and photobleaching. …”
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NEUTRON CAPTURE GAMMA RAY FIELD WITH ENERGY TO 10 MeV FOR METROLOGICAL SUPPORT OF RADIATION PROTECTION DEVICES by D. I. Komar, R. V. Lukashevich, V. D. Guzov, S. A. Kutsen

“…We got experimental spectral data on detection unit BDKG-19M NaI(Tl) 63 × 160 mm with nonlinear channel-energy conversion characteristic in range to 10 MeV. …”
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Dynamical Visualization and Qualitative Analysis of the (4+1)-Dimensional KdV-CBS Equation Using Lie Symmetry Analysis by Maria Luz Gandarias, Nauman Raza, Muhammad Umair, Yahya Almalki

“…These results highlight the effectiveness of our methodology in tackling nonlinear problems in both mathematics and engineering, surpassing previous research efforts.…”
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Multiscale Method for Seismic Response of Near-Source Sites by Shutao Li, Jingbo Liu, Zhou Yang, Xin Bao, Fei Wang, Xiaofeng Wang, Mohsen Saleh Asheghabadi

“…To solve problems such as an inefficient computation and challenging nonlinear simulation, a multiscale analysis method for the calculation of the seismic response of underground structures at near-source sites is developed. …”
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Short‐Term Memory and Regional Climate Drive City‐Scale Water Demand in the Contiguous US by Wenjin Hao, Andrea Cominola, Andrea Castelletti

“…We develop a causal discovery framework based on a Neural Granger Causal (NGC) model, a machine learning approach that identifies nonlinear causal relationships between determinants and water demand, enabling comprehensive water demand determinants discovery and water demand forecasting across the CONUS. …”
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Modulation Instability and Dynamical Analysis of New Abundant Closed-Form Solutions of the Modified Korteweg–de Vries–Zakharov–Kuznetsov Model With Truncated M-Fractional Derivativ... by Md. Shafiqul Islam, Md. Mamunur Roshid, Mahtab Uddin, Ashek Ahmed

“…The mKdV-ZK equation can be used to describe the behavior of ion-acoustic waves in plasma and the propagation of surface waves in deep water with nonlinear and dispersive effects in fluid dynamics. …”
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Can Obesity Prevalence Explain COVID-19 Indicators (Cases, Mortality, and Recovery)? A Comparative Study in OECD Countries by Yuval Arbel, Chaim Fialkoff, Amichai Kerner, Miryam Kerner

“…The reasons for these nonlinear patterns might be explained by several conditions such as increased metabolic reserves, more aggressive treatment, other non-SARS-CoV-2 virus complications for obese persons, and unidentified factors that should be examined in future research.…”
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Modeling vaccination prioritization strategies for post-pandemic COVID-19 in the Republic of Korea accounting for under-reporting and age-structure by Geunsoo Jang, Jihyeon Kim, Robin N. Thompson, Hyojung Lee

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Power flow and power quality improvement of a residential-industrial microgrid using 72-pulse inverter-based UIPC by Mahyar Abasi, Ali Nahavandi, Javad Ebrahimi, Gevork B. Gharehpetian

“…As large reactive power consumers, arc furnaces have a completely nonlinear and unbalanced behavior that directly affects power quality indices and reactive power control. …”
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Improved Neutral Density Predictions Through Machine Learning Enabled Exospheric Temperature Model by Richard J. Licata, Piyush M. Mehta, Daniel R. Weimer, W. Kent Tobiska

“…We utilize derived temperature data and optimize a nonlinear machine‐learned (ML) regression model to improve upon the performance of the linear EXospheric TEMPeratures on a PoLyhedrAl gRid (EXTEMPLAR) model. …”
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PreMevE Update: Forecasting Ultra‐Relativistic Electrons Inside Earth's Outer Radiation Belt by Saurabh Sinha, Yue Chen, Youzuo Lin, Rafael Pires de Lima

“…Our results also suggest that this new model is dominated by nonlinear components at L‐shells <∼4 for ultra‐relativistic electrons, different from the dominance of linear components for 1 MeV electrons as previously discovered.…”
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Shear Capacity of Open Sandwich Steel Plate-Concrete Composite Slab: Experimental and Analytical Studies by Lili Wu, Lipei An, Jiawei Li

“…Considering that the fixed crack model by default of the general finite element software was unable to simulate the shear softening behavior of concrete in the actual situation, a rotational crack model based on the modified compression field theory developed by UMAT (user material) of ABAQUS software was proposed and applied to the nonlinear analysis, and a numerical simulated model for the steel-concrete composite slab was built for shear analysis. …”
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Obesity mediates the association between psoriasis and diabetes incidence: a population-based study by Zuojiao Xu, Kaihua Ma, Yinuo Zhai, Jing Wang, Yan Li

“…The study employed weighted logistic regression to examine the association between psoriasis and diabetes. The nonlinear relationship between obesity, diabetes, and psoriasis was explored through smooth curve fitting, stratified by age and gender. …”
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A harmonic model validation methodology for power generation units based on voltage-current phasor characteristic by Kia Malekian Boroujeni, Farhad Safargholi, Kaveh Malekian

“…The practicability of the methodology is shown by employing some test-bench (photovoltaic power generation unit) and on-site (wind power generation unit) measurement campaigns for validating some linear and nonlinear harmonic models. This paper also suggests some criteria for evaluating the quality of measurement data as the model validation input and for defining an acceptable deviation of models from measurement data.…”
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