Estimates for Unimodular Multipliers on Modulation Hardy Spaces by Jiecheng Chen, Dashan Fan, Lijing Sun, Chunjie Zhang

“…Finally, we investigate the boundedness of the operator eit|Δ|α/2 for α>0 and obtain the local well-posedness for the Cauchy problem of some nonlinear partial differential equations with fundamental semigroup eit|Δ|α/2.…”
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The tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface by Chuanyuan Zhou, Xiaomei Guo, Xiaoxiao Wei

“…The tolerance contribution is incorporated into the nonlinear inertial weight particle swarm algorithm. …”
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Resource allocation algorithm for secure communication in UAV-assisted D2D communication network by Xiaowan ZENG, Haijun WANG, Lei HUANG, Dongtang MA

“…To solve the problems of energy limitation, spectrum shortage, and serious co-frequency interference in the unmanned aerial vehicle (UAV)-assisted D2D (device-to-device) communication network under passive eavesdropping, the concept of the network secrecy energy efficiency was introduced by taking into account the secrecy rate and transmit power constraints of each user.Based on the physical layer secure transmission theory, the joint optimization problem of spectrum multiplexing and power control strategies was investigated to maximize the network secrecy energy efficiency.The problem was a nonlinear nonconvex problem, a resource allocation algorithm combining Dinkelbach’s algorithm and the convex approximation algorithm was proposed to transform the nonconvex optimization problem into a geometric planning problem through the convex approximation algorithm and ensure that the original problem converges to the global optimal solution by Dinkelbach’s algorithm.Simulation results show that the proposed algorithm can effectively mitigate the co-channel interference, improve the network secrecy energy efficiency, and balance the relationship between the secure communication performance and power consumption of the network.…”
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Study on Impact Behavior and Impact Force of Bridge Pier Subjected to Vehicle Collision by Deyuan Zhou, Ruiwen Li, Juan Wang, Changtuan Guo

“…In order to study the impact behavior of bridge piers, a vehicle-double-pier collision numerical model was developed by LS-DYNA. Nonlinear material constitutive laws considering the strain-rate effect were used. …”
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Observation of Dissipative Bright Soliton and Dark Soliton in an All-Normal Dispersion Fiber Laser by Chunyang Ma, Bo Gao, Ge Wu, Tian Zhang, Xiaojian Tian

“…We observe the generation of dissipative bright and dark soliton in an all-normal dispersion fiber laser by employing the nonlinear polarization rotation (NPR) technique. Through adjusting the angle of the polarizer and analyzer, the mode-locked and non-mode-locked regions can be obtained in different polarization directions. …”
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Trajectory Tracking Control of Mecanum Wheels Mobile Platform Based on MPC by Huang Xiaoyu, Sun Yongzhi, Li Jinrong, Wang Yiting, Yang Qiwei

“…The linear error model of the Mecanum wheels chassis is established by the attitude control loop, the quadratic objective function is designed, and the problem of path following is transformed into predictive control for the nonlinear model. In the velocity control loop, the differential forward PID controller is used to avoid the high-frequency disturbance to the system caused by frequent step changes of the input quantity, accelerate the convergence of the angular velocity of the Mecanum wheels, and enhance the stability of the system. …”
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Performance Prediction of Building Integrated Photovoltaic System Using Hybrid Deep Learning Algorithm by Manivannan Ragupathi, Rengaraj Ramasubbu

“…Solar Power is very nonlinear; this article develops and analyses building integrated photovoltaic (BIPV) forecasting algorithms for different timeframes, such as an hour, a day, and a week ahead, to manage grid operation effectively. …”
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Dynamic Model of a Rotating Flexible Arm-Flexible Root Mechanism Driven by a Shaft Flexible in Torsion by S.Z. Ismail, A.A. Al-Qaisia, B.O. Al-Bedoor

“…The obtained model is a nonlinear-coupled system of differential equations. …”
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Modeling and Controller Design of a Magnetic-geared Double Rotor Motor by Cao Jiayong, Yao Chunzhe, Wang Jingsen, Ren Chao

“…Although the simulation results show that although there are the problems of nonlinear and coupling in the system,the tuned PID control can make the system track the input signal and achieve comprehensive performance index well.…”
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Optimal Maneuver Strategy of Observer for Bearing-Only Tracking in Threat Environment by Renke He, Shuxin Chen, Hao Wu, Zhuowei Liu, Jianhua Chen

“…The optimal maneuver of observer for bearing-only tracking (BOT) in a threat environment is a complex problem which involves nonlinear filtering, threat avoidance, and optimal maneuver strategy. …”
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VIBRATION MEASUREMENT METHOD OF WIND TURBINE BLADE BASED ON BINOCULAR PHOTOGRAM METRY by YAKUP AhMat, WANG WenYun, GULBAHAR TohTi, SUN Zhi, MAMTIMIN GeNi

“…binocular photogrammetry vibration measurement method for considering the radial and tangential distortion parameters calibration by using the Levenberg-Marquardt algorithm based nonlinear optimization was proposed. As an example,the modal frequency identified of a wind turbine blade. …”
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Response of the Flat Reinforced Concrete Floor Slab with Openings under Cyclic In-Plane Loading by Eden Shukri Kalib, Yohannes Werkina Shewalul

“…The responses of flat reinforced concrete (RC) floor slabs with openings subjected to horizontal in-plane cyclic loads in addition to vertical service loads were investigated using nonlinear finite element analysis (FEA). A finite element model (FEM) was designed to perform a parametric analysis. …”
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Extraction of Weak Scatterer Features Based on Multipath Exploitation in Radar Imagery by Muhannad Almutiry, Lorenzo Lo Monte, Michael C. Wicks

“…Modeling reflections from one target towards another as a transmitting dipole will add the multiple scattering effects to the scattering field and permit us to solve a linear inverse problem without sophisticated solutions of a nonlinear matrix in the forward model. Simulation results are presented to validate the concept.…”
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An energy fracture criterion based on dissipative inequality by Frolov Maxim, Savikovskii Artem, Semenov Artem

“…Different energy flux vector representation forms for cases of linear and nonlinear thermoelasticity were considered and discussed.…”
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RESEARCH ON THE OPTIMAL SYNTHESIS OF A MULTI-CONTOUR MECHANISM by Dorin Bădoiu

“…The synthesis of mechanisms is a complex field of study that includes, in addition to the knowledge necessary for the correct configuration of working mechanisms and those necessary for their analysis, knowledge from the field of nonlinear programming that involves the calculation of the extrema of an objective function, possibly subject to some constraints. …”
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Prediction of Landslide Displacement Based on EMD-TAR Combined Model by CHEN Xi, GAO Yaping, TU Rui

“…This study aims to more accurately predict the displacement changes of landslides with nonlinear volatility development.The empirical mode decomposition is first employed to process the time series of monitoring surface displacement of a landslide,and then the irregularly changing displacement series is converted into modal components with regular changes,which generates displacement components at different frequencies.Each component is predicted separately so that the mutual influence of errors can be avoided.The comprehensive prediction of the changing trend of displacement series is based on the prediction of the changing trends of all components.The improved threshold autoregressive model able to well describe non-stationary harmonics is used to predict the landslide displacement components.Finally,the modal superposition yields the final predicted displacement.In this way,a combined prediction model based on empirical mode decomposition and threshold autoregressive model is established,and its prediction accuracy is verified with Baishuihe landslide data.Compared with a BP neural network model and a long short-term memory network model,the proposed model has a high prediction accuracy,which provides a new method for the prediction of landslide displacement.…”
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An Analysis of the Relationship Between Investor Risk Appetite and CDS Premiums in Turkey Using Asymmetric Methods by Adnan Güzel, Yüksel İltaş

“…The data set of the study consists of weekly frequency data covering the period April 2010-December 2023. Nonlinear ARDL (NARDL) method and Hatemi-J and Roca (2014) asymmetric causality test was used in the empirical analysis of the study. …”
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THE MECHANICAL BEHAVIOR OF A RANDOM THIN- WALLED AND POROUS METALLIC HOLLOW SPHERE by SONG JinLiang, ZHANG YiKang, SUN QuanSheng

“…The individual MHS with 2 mm to 3 mm outside diameter,10 μm to 40 μm thick walls with porosity were studied, and nano-indentation test, quasi-static uniaxial compression experiment and elastic compression test were performed on the metallic hollow spheres to get the Young’s modulus and hardness of the MHS and the material which was made up of the sphere, also single MHS compression deformation process and characteristics could be observed, finally simulated elastic stage of metallic hollow sphere by finite element software ABAQUS, analyzed the influence of the Young’s modulus of the whole MHS by porosity on thin wall, and result shows that with the porosity increasing, the elastic modulus of MHS will decrease, and present nonlinear distribution, it can be described the same format of a power law function as the relation of porosity with the porous thin wall.…”
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Crankshaft Wear Fault Detection Method for Welding Robot Reducer based on Belief Rule Base Inference by Xiaobing Wang, Xu Weng, Zhuangzhuang Zhao, Yu Hu, Tianzhen Wang, Xiaobin Xu, Jianning Li

“…Aiming at the nonlinear relationship between the welding machine servo motor torque signals and the RV （Rotate Vector） reducer crankshaft wear states， a wear fault detection method based on belief rule base inference （BRB） is designed. …”
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Heston-GA Hybrid Option Pricing Model Based on ResNet50 by Zheng Yang, Liqin Zhang, Xiangxing Tao, Yanting Ji

“…It is shown that the combination of Heston model and ResNet50 model with optimized parameters can ensure the interpretability of the model and enhance the nonlinear fitting ability of the model, which confirms the effectiveness of the hybrid model and provides a reference for investors and institutions to make scientific decisions.…”
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