Optimization of Power Allocation for a Multibeam Satellite Communication System with Interbeam Interference by Heng Wang, Aijun Liu, Xiaofei Pan, Jiong Li

“…Initially the power allocation problem is formulated as a nonlinear optimization, considering a compromise between the maximization of total system capacity and the fairness of the power allocation amongst the beams. …”
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Modeling for Micro Traffic Flow with the Consideration of Lateral Vehicle’s Influence by Da-wei Liu, Zhong-ke Shi, Wen-Huan Ai

“…By using of linear stability analysis, stability conditions of improved car-following models are obtained. Nonlinear analysis is carried out to investigate the traffic performances near the critical point. …”
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Dynamic Analysis of a Phytoplankton-Fish Model with Biological and Artificial Control by Yapei Wang, Min Zhao, Xinhong Pan, Chuanjun Dai

“…We investigate a nonlinear model of the interaction between phytoplankton and fish, which uses a pair of semicontinuous systems with biological and artificial control. …”
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Optimal control problems with time delays: Two case studies in biomedicine by Laurenz Göllmann, Helmut Maurer

“…After discussing the necessary optimality conditions for delayed optimal control problems with control-state constraints, we propose discretization methods by which the delayed optimal control problem is transformed into a large-scale nonlinear programming problem. The first case study is concerned with the delay differential model in [21] describing the tumour-immune response to a chemo-immuno-therapy. …”
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Hybrid Optimal Kinematic Parameter Identification for an Industrial Robot Based on BPNN-PSO by Guanbin Gao, Fei Liu, Hongjun San, Xing Wu, Wen Wang

“…Then, the kinematic parameter identification of the industrial robot is transformed to a nonlinear optimization in which the unknown kinematic parameters are taken as optimal variables. …”
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Partitioning Control Mechanism and Engineering Practice of Rebuilding Bearing Arch in Surrounding Rock under High Ground Stress by Mengtang Xu, Ke Li, Youlin Xu

“…The tensile stress and shear stress of RBA increase linearly with the overburden load increase and increase sharply with the load-bearing arch’s thickness, showing a nonlinear relationship. To maintain the surrounding rock’s stability, it is necessary to ensure that the RBA’s thickness is within a specific range. …”
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A Stress-Strain Model for Unconfined Concrete in Compression considering the Size Effect by Keun-Hyeok Yang, Yongjei Lee, Ju-Hyun Mun

“…In addition, in stress-strain relationship, a strain at the maximum stress was formulated as a function of compressive strength considering the size effect using the nonlinear regression analysis of data records compiled from a wide variety of specimens. …”
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Effects of chromophore interaction in photophysics and photochemistry of cyanine dyes by A. S. Tatikolov, Zh. A. Krasnaya, L. A. Shvedova, V. A. Kuzmin

“…The symmetric ketocyanines were shown to have a long-wavelength absorption band bathochromically shifted in comparison with that of the asymmetric ketocyanines with the same total length of the polyenic chain. The nonlinear ketocyanines exhibit the additional short-wavelength band in their absorption spectra, which can be more intense than the longwavelength band. …”
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HIGH-SPEEP ROLLING BEARING-DUAL ROTOR SPINDLE SYSTEM NUMERICAL SIMULATION ANALYSIS OF DISCRETE MODELING DYNAMICS by LI YunLong, TANG ZhiYu

“…The results shows that:（ 1） Due to the influence of nonlinear characteristics of the system,the system responds to multiples and combined frequencies of the excitation frequency under multi-frequency coupling excitation,the system vibration response is extremely complex.（ 2） The change of the radial clearance of the intermediate roller bearing has a certain influence on the system response,the effect on the response of the supporting bearing is small,and the small clearance can reduce the response displacement of the center of the intermediate bearing and the rotor system,so that the system tends to be stable.（ 3） Properly increasing the number of supporting bearing rolling elements reduces the response of the supporting bearing and rotor center,and the system stability also increases.（ 4） The general trend of the simulation curve is the same as the experimental data but not fully in agreement,and the result has some errors（ the error is about 15. 6%）. …”
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EXPERIMENT AND SIMULATION STUDY ON THE EFFECT OF Z-PIN REINFORCED ON THE PULL-OFF AND SHEAR CARRYING CAPACITY OF FIBER PLACEMENT COMPOSITE T-JOINTS by LIU Ji, XU XiWu

“…The interface failure was simulated with cohesive zone model,and the effect of Z-pin was simulated with nonlinear springs inserted into the interface. The numerical results agree well with the test data and shows that the model is effective.…”
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Preface to Special Issue in Honor of Carlos Castillo-Chavez by Simon A. Levin

“…Though he was well situated in a faculty job, he was not satisfied: He was interested in mathematical biology, having written an excellent thesis in population biology with Fred Brauer at Wisconsin entitled Linear and Nonlinear Deterministic Character-Dependent Models with Time Delay in Population Dynamics. …”
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Characterization of Soil Enhancement Mixtures at Low-Magnitude Currents by Fazlul Aman, Usman Muhammad, Normiza Mohamad Nor, Haziah Hamid

“…It was found that dry sand–EM mixtures can be represented by an R-C parallel circuit, while wet sand–EM mixtures can be represented by a nonlinear R. These new test data providing the soil resistivity and permittivity of various sand–EM mixtures are important in selecting suitable EMs to be used in grounding systems.…”
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Reconstructing a Helical Magnetic Field in the Solar Corona using Lagrange Multiplier Technique by Nasim IldarTanha, Sadollah Nasiri

“…We aim to reconstruct a nonlinear force-free magnetic field by minimizing the global departure of an initial field from a force-free and solenoidal state in the presence of helicity to obtain an appropriate representation of the magnetic field compatible with the solar coronal condition. …”
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Prediction of Load-Carrying Capacity in Steel Shear Wall with Opening Using Artificial Neural Network by E. Khalilzadeh Vahidi, M. M. Roshani

“…Load-carrying capacity of the SPSW is studied under static load using nonlinear geometrical and material analysis in ABAQUS and the obtained simulation results are verified. …”
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Mechanical Electrical Coupling Modeling and Fault Characteristic of the Main Driving System of the Annealing Kiln by Kangqu Zhou, Lei Lei, Xueming Wu, Wennan Xie, Zhiqun Kan

“…According to the fault characteristics of the Main Drive System of the Annealing Kiln（MDSAK）， the nonlinear factors such as the time-varying meshing stiffness of the gear and the time-varying stiffness of the bearing are considered synthetically， the mechanical electrical coupling dynamics model of the MDSAK including the driving motor， the gear driving system and the load system is established. …”
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Solitary wave solutions of the time fractional Benjamin Bona Mahony Burger equation by K. Pavani, K. Raghavendar, K. Aruna

“…This equation is critical for characterizing the dynamics of water waves and fluid acoustic gravity waves, as well as explaining the unidirectional propagation of long waves in nonlinear dispersive systems. This equation also describes cold plasma for hydromagnetic and audio waves in harmonic crystals. …”
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Application of Linear Regression Mathematical Model in the Evaluation of Teachers’ Informatization Quality by Shuping Li, Xinlei Yuan

“…The design of the evaluation system is more scientific and reasonable, the regression error is small, the results obtained are more accurate, and the impact of nonlinear errors is basically eliminated.…”
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Evolutionary Optimization of Electric Power Distribution Using the Dandelion Code by Jorge Sabattin, Carlos Contreras Bolton, Miguel Arias, Víctor Parada

“…Planning primary electric power distribution involves solving an optimization problem using nonlinear components, which makes it difficult to obtain the optimum solution when the problem has dimensions that are found in reality, in terms of both the installation cost and the power loss cost. …”
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Advanced Speed‐and‐current control approach for dynamic electric car modelling by Buddhadeva Sahoo, Sangram Keshari Routray, Pravat Kumar Rout

“…To offer better regulation and excellent tracking operation of the EC, a combined proportional–integral–derivative controller‐based outer‐speed and inner‐current control approach is suggested to regulate the nonlinear parameters for different driving profile applications. …”
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Asymmetric Exchange Rate Pass-Through to Consumer Prices in Ghana: Evidence from EMD-NARDL Approach by Camara K. Obeng, Siaw Frimpong, Gilbert K. Amoako, Samuel K. Agyei, Emmanuel Asafo-Adjei, Anokye M. Adam

“…This paper analyses the US dollar exchange rate pass-through to consumer prices in Ghana from January 1990 to January 2020 using the empirical mode decomposition-based nonlinear autoregressive distributed lags model (EMD-NARDL). …”
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