Peano Theorems for Pedjeu–Ladde-Type Multi-Time Scale Stochastic Differential Equations Driven by Fractional Noises by Arcady Ponosov, Lev Idels

“…To encompass all commonly used particular classes of fractional multi-time scale stochastic models, including those with random delays and impulses at random times, we consider equations with nonlinear random Volterra operators rather than functions. …”
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Inversion of Mechanical Parameters of Tunnel Surrounding Rock Based on Improved GWO-BP Neural Network by Chen Zhang, Qiunan Chen, Wenbing Zhou, Xiaocheng Huang

“…Key enhancements such as cubic chaotic mapping, refraction backward learning, nonlinear convergence factors, and updated position formulas were applied to improve the algorithm’s search efficiency. …”
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Anomaly Detection and Root Cause Analysis for Energy Consumption of Medium and Heavy Plate: A Novel Method Based on Bayesian Neural Network with Adam Variational Inference by Qiang Guo, Fenghe Li, Hengwen Liu, Jin Guo

“…Next, a weighted Granger causality analysis method based on LSTM is introduced, which effectively captures the nonlinear and temporal relationships of process variables, enabling the identification of abnormal causal pathways. …”
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A Customized Deep Neural Network Approach to Investigate Travel Mode Choice with Interpretable Utility Information by Zhengchao Zhang, Congyuan Ji, Yineng Wang, Yanni Yang

“…However, deep neural networks (DNNs), owing to their powerful capacity of nonlinear fitting, are now rapidly replacing these models. …”
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Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media by Z. You, P. Bedrikovetsky, L. Kuzmina

“…Results show that transient pore size distribution and nonlinear relation between the filtration coefficient and captured particle concentration during suspension filtration and retention are the main features of long-term deep bed filtration, which generalises the classical deep bed filtration model and its latter modifications. …”
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Research on short-term precipitation forecasting method based on CEEMDAN-GRU algorithm by Hua Xu, Zongkai Guo, Yu Cao, Xu Cheng, Qiong Zhang, Dan Chen

“…Using precipitation data from January 1, 2019, to December 31, 2022, as a sample, the model capitalizes on CEEMDAN’s superior signal decomposition capabilities and GRU’s ability to capture nonlinear dynamic patterns in time series. To assess the model’s effectiveness, comparisons were conducted with 12 benchmark models, including CEEMDAN-LSTM, EMD-GRU, EMD-LSTM, BI-LSTM, GRU, LSTM, and TCN. …”
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A New Hybrid Model Predictive Controller Design for Adaptive Cruise of Autonomous Electric Vehicles by Yuanhang Chen, Guodong Feng, Shaofang Wu, Xiaojun Tan

“…SDNN is used to accelerate the solution of the quadratic programming (QP) problem of the proposed MPC algorithm to improve the computation efficiency, while PID based on SN performs well in the nonlinear and time-varying conditions in the ACC system. …”
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Influence of Excitation Frequency on Raman Modes of Thin Films by A. Dixit, J. S. Thakur, V. M. Naik, R. Naik

“…We found that the energies of longitudinal optical modes (A1(LO) and 2A1(LO)) vary nonlinearly unlike the E2 mode with increasing Ga atomic fraction. …”
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Coherent harmonic generation of magnons in spin textures by Guibin Lan, Kang-Yuan Liu, Zhenyu Wang, Fan Xia, Hongjun Xu, Tengyu Guo, Yu Zhang, Bin He, Jiahui Li, Caihua Wan, Gerrit E. W. Bauer, Peng Yan, Gang-Qin Liu, Xin-Yu Pan, Xiufeng Han, Guoqiang Yu

“…Numerical simulations indicate that the harmonic generation by microwaves below the ferromagnetic resonance frequency is associated with the nonlinear mixing of spin waves by magnetization structures at the film edge. …”
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Effect of Seismic Frequency Spectra on Surrounding Rock Damage Evolution of Large Underground Caverns by Yumin Zhang, Zeqi Zhu, Rongchao Xu, Zhiquan Huang

“…By inputting five earthquakes of various frequency spectra, the fully nonlinear dynamic analysis was performed for some large underground caverns in the gorge and mountain region in Sichuan Province in China with the explicit difference method. …”
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Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay by Muhammad Shamrooz Aslam, Xisheng Dai

“…The descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. …”
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Investigation of the Structural Characteristics of the Gas Diffusion Layer Using Micro-X-Ray Computed Tomography by Qitong Shi, Cong Feng, Bing Li, Pingwen Ming

“…Due to its low stiffness, the gas diffusion layer (GDL) exhibits significant deformation under a compression service condition, thereby exerting a nonlinear and strong coupling influence on fuel cells’ performance. …”
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Fully Pipelined Implementation of Tree-Search Algorithms for Vector Precoding by Maitane Barrenechea, Mikel Mendicute, Egoitz Arruti

“…The nonlinear vector precoding (VP) technique has been proven to achieve close-to-capacity performance in multiuser multiple-input multiple-output (MIMO) downlink channels. …”
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Robust Tracking Control of a Quadrotor UAV Based on Adaptive Sliding Mode Controller by Tianpeng Huang, Deqing Huang, Zhikai Wang, Awais Shah

“…The underactuated dynamic model of the quadrotor UAV is first built via the Newton–Euler formalism. Considering the nonlinear and strongly coupled characteristics of the quadrotor, the controller is then designed using a sliding mode approach. …”
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A frequency domain-based loop shaping procedure for the parameter estimation of the fractional-order tilt integral derivative controller by Biresh Kumar Dakua, Bibhuti Bhusan Pati

“…Along with the five nonlinear constraints usually considered for the design of the fractional order proportional integral derivative (FOPID) controller, a more flat phase concept signifying an enhanced robustness of the system towards gain variations is adopted as the sixth constraint for the tuning of a six variable tunable FOTID controller. …”
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On a Newton-Type Method for Differential-Algebraic Equations by S. Amat, M. J. Légaz, P. Pedregal

“…We are also preparing a much more ambitious perspective for the theoretical analysis of nonlinear DAEs based on this same approach.…”
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Development and Performance Analysis of Pneumatic Soft-Bodied Bionic Actuator by Wenchuan Zhao, Yu Zhang, Ning Wang

“…The design of a pneumatic soft-bodied bionic actuator derives from the structural characteristics and motion mechanism of biological muscles, combined with the nonlinear hyperelasticity of silica gel, which can improve the mobility and environmental adaptability of soft-bodied bionic robots. …”
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Photoinduced Copolymerization of APMP-MMA: The Role of Reactive Hindered Amine APMP by Ting Zhang, Liuwa Fu, Zhikang Chen, Yanyan Cui, Xiaoxuan Liu

“…According to the reactivity ratios from the extended Kelen-Tüdos (KT) method at high conversion by 1H NMR spectroscopy, a nonlinear model is established and the sequential distribution in the copolymers is also investigated. …”
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Effect of Gurney Flap Geometry on a S809 Airfoil by Li-Shu Hao, Yong-Wei Gao

“…Rectangular Gurney flaps can considerably increase the lift in both the linear and nonlinear sections, and the maximum lift coefficient can be increased by 20.65%. …”
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Optimal Design of the Sealing Structure of a Hydraulic Cylinder on the Basis of a Surrogate Model by Hong Zhang, Yu Sun, Chenchen Li, Haoran Wang

“…In this study, a finite-element simulation model was established for a two-dimensional hydraulic cylinder seal structure with highly nonlinear materials and contacts for achieving the optimal sealing effect with the structure. …”
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