Epidemiological Characteristics of Generalized COVID-19 Deterministic Disease Model by Shuo Li, Nasir Hussain, Ihsan Ullah Khan, Amjid Hussain, Shewafera Wondimagegnhu Teklu

“…The basic reproduction number is obtained which is a key factor in defining the nonlinear dynamics of biological and physical obstacles in the study of mathematical models of COVID-19 disease. …”
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Constant Force PID Control for Robotic Manipulator Based on Fuzzy Neural Network Algorithm by Zhu Dachang, Du Baolin, Zhu Puchen, Chen Shouyan

“…It is difficult for the traditional PID controller because of the complexity parameters and nonlinear characteristics. In order to overcome this issue, a PID controller based on fuzzy neural network algorithm is developed in this paper for tracking the trajectory and contact constant force simultaneously. …”
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Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters by M. M. Rashidi, E. Momoniat, B. Rostami

“…The boundary-layer equations are derived by considering Boussinesq and boundary-layer approximations. The nonlinear ordinary differential equations for the momentum and energy equations are obtained and solved analytically by using homotopy analysis method (HAM) with two auxiliary parameters for two classes of visco-elastic fluid (Walters’ liquid B and second-grade fluid). …”
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Complexity of Deep Convolutional Neural Networks in Mobile Computing by Saad Naeem, Noreen Jamil, Habib Ullah Khan, Shah Nazir

“…Neural networks employ massive interconnection of simple computing units called neurons to compute the problems that are highly nonlinear and could not be hard coded into a program. …”
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Numerical Study on the In-Plane and Out-of-Plane Resistance of Brick Masonry Infill Panels in Steel Frames by Vahid Bahreini, Tariq Mahdi, MohammadMahdi Najafizadeh

“…In this paper, three different configurations have been evaluated by using the general finite element software, ABAQUS. Nonlinear pushover and time history analyses have been conducted for each of the three configurations. …”
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The Dynamics of Rotor with Rubbing by Jerzy T. Sawicki, Joe Padovan, Rabih Al-Khatib

“…Of special interest are the changes in the apparent nonlinearity of the system dynamics as rubs are induced at different rotor speeds. …”
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Dynamics Modeling and Inherent Vibration Characteristic Analysis of Multi-motor Parallel Drive-transmission System by Li Liu, Ruizhi Shu, Jin Huang, Rulong Tan, Benyuan Fu

“…In order to understand the inherent vibration characteristics of multi-motor parallel drive-transmission system， and reveal the influence of system stiffness parameters on its natural frequency， considering the nonlinear factors such as time-varying meshing stiffness and messing error， the coupling dynamics model of multi-motor parallel drive-transmission system is established by using lumped-mass method. …”
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Fault Diagnosis Approach of Gear based on Two Features and Least Squares Support Vector Machine by Qin Bo, Yang Yunzhong, Chen Min, Guo Wei, Liu Yongliang, Wang Jianguo

“…Aiming at the Gear vibration signals have the nonlinear and non-stationary characteristics,to avoid the disadvantages of traditional time and frequency domain method in the characterization of the state of equipment and failure identification model "less learning"problem caused by small sample size,the gearbox fault diagnosis method based on kurtosis and intrinsic mode function（ IMF） energy feature and least squares support vector machine（ LS-SVM） is proposed. …”
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Enhanced hunger games search algorithm that incorporates the marine predator optimization algorithm for optimal extraction of parameters in PEM fuel cells by Mohamed Issa, Mohamed Abd Elaziz, Sameh I. Selem

“…Abstract This article introduces a novel optimization approach to improve the parameter estimation of proton exchange membrane fuel cells (PEMFCs), which are critical for diverse applications but are challenging to model due to their nonlinear behavior. The proposed method, HGS-MPA, enhances the Hunger Games Search (HGS) algorithm by integrating Marine Predator Algorithm (MPA) operators, significantly boosting its exploitation capabilities and convergence rate. …”
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Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks by A. Naeem, Z. Abbas, M.Y. Rafiq

“…These findings are significant for understanding and optimizing non-uniform open-channel flows impacted by nonlinear inertia, with real-world applications in designing efficient fluid transport systems, enhancing heat exchangers, and improving the performance of devices such as centrifugal pumps and turbines.…”
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M&A Short-Term Performance Based on Elman Neural Network Model: Evidence from 2006 to 2019 in China by Ming Xiao, Xionghui Yang, Ge Li

“…After comparing the five abnormal return (AR) calculation models, it is found that the commonly used market model method and the market adjustment method have statistical defects while the Elman feedback neural network model is capable of good nonlinear prediction ability. The study shows that M&A can create considerable short-term performance for Chinese listed company shareholders. …”
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Implementing the Galerkin Method Associated with the Shifted Vieta-Lucas Polynomials for Studying Numerically the Bionanofluid Flow Which Is Saturated by Gyrotactic Microorganisms... by M. M. Khader, M. M. Babatin, Ahmed M. Megahed, A. Eid

“…The shifted Vieta-Lucas polynomials are then used as basis functions on the provided domain to solve the nonlinear system of ordinary differential equations that has been constructed (ODEs). …”
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Modeling and Dynamic Analysis of Spherical Roller Bearing with Localized Defects: Analytical Formulation to Calculate Defect Depth and Stiffness by Behnam Ghalamchi, Jussi Sopanen, Aki Mikkola

“…The new dynamic model describes the contact forces between bearing rolling elements and race surfaces as nonlinear Hertzian contact deformations, taking radial clearance into account. …”
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Analyzing Axial Stress and Deformation of Tubular for Steam Injection Process in Deviated Wells Based on the Varied (T,P) Fields by Yunqiang Liu, Jiuping Xu, Shize Wang, Bin Qi

“…A new model is multiple nonlinear equation systems by comprehensive consideration of axial load of tubular string, internal and external fluid pressure, normal pressure between the tubular and well wall, and friction and viscous friction of fluid flowing. …”
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Multimodal Green Logistics Network Design of Urban Agglomeration with Stochastic Demand by Jiehui Jiang, Dezhi Zhang, Shuangyan Li, Yajie Liu

“…To describe the game behaviors of logistics authorities in urban agglomeration, the problem is formulated as two nonlinear bilevel programming models, namely, independent and centralized decision models. …”
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Projection-Based Adaptive Backstepping Control of a Transport Aircraft for Heavyweight Airdrop by Ri Liu, Xiuxia Sun, Wenhan Dong, Guangzhi Xu

“…An autopilot inner loop that combines backstepping control with adaptive function approximation is developed for airdrop operations. The complex nonlinear uncertainty of the aircraft-cargo model is factorized into a known matrix and an uncertainty function, and a projection-based adaptive approach is proposed to estimate this function. …”
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Global bifurcation of positive solutions for a superlinear $p$-Laplacian system by Lijuan Yang, Ruyun Ma

“…We obtain the principal eigenvalue of $(P)$ by using a nonlinear Krein–Rutman theorem and the unbounded branch of positive solutions for $(Q)$ via bifurcation technology.…”
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The Lagrangian and Hamiltonian for the Two-Dimensional Mathews-Lakshmanan Oscillator by Wang Guangbao, Ding Guangtao

“…The purpose of this paper is to illustrate the theory and methods of analytical mechanics that can be effectively applied to the research of some nonlinear nonconservative systems through the case study of two-dimensionally coupled Mathews-Lakshmanan oscillator (abbreviated as M-L oscillator). (1) According to the inverse problem method of Lagrangian mechanics, the Lagrangian and Hamiltonian function in the form of rectangular coordinates of the two-dimensional M-L oscillator is directly constructed from an integral of the two-dimensional M-L oscillators. (2) The Lagrange and Hamiltonian function in the form of polar coordinate was rewritten by using coordinate transformation. (3) By introducing the vector form variables, the two-dimensional M-L oscillator motion differential equation, the first integral, and the Lagrange function are written. …”
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Multi-Objective Portfolio Optimization Strategy Using the SPEA-II Algorithm by Alireza Azarberahman, Malihe Tohidinia, Hossein Aliakbarzadeh

“…The results show that the SPEA-II algorithm can generate portfolios with higher returns and lower risks compared to the Markowitz model and traditional methods, taking into account the complex and nonlinear conditions of the capital market. In addition, the SPEA- II algorithm showed significant efficiency and stability across different frequencies and time periods. …”
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Elastic-plastic fracture analysis of pressure pipelines with axial cracks based on the interaction integral method. by Qi Song, Huifen Peng, Junyu Yao, Min Luo

“…Moreover, the relative error between the Stress Intensity Factors (SIF) before and after plastic correction exhibits nonlinear growth in response to increasing internal pressure within the pipeline. …”
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