Pull-In and Snap-Through Analysis of Electrically Actuated Viscoelastic Curved Microbeam by Ehsan Akrami-Nia, Hamid Ekhteraei-Toussi

“…By applying the Galerkin method, the obtained governing equation is discretized, converted to a nonlinear differential equation, and solved by MATLAB software. …”
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A 50-spin surface acoustic wave Ising machine by Artem Litvinenko, Roman Khymyn, Roman Ovcharov, Johan Åkerman

“…Abstract Time-multiplexed spinwave Ising Machines have unveiled a route towards miniaturized and low-cost combinatorial optimization solvers but are constrained in the number of spins by nonlinear spinwave dispersion. In contrast, surface acoustic waves offer an intrinsically linear dispersion and high thermal stability. …”
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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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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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L'éducation à la santé et la formation personnelle du futur enseignant by Olena Momot, Serhii Novik, Yevheniia Shostak, Olena Zhdanova-Nedilko

“…The research model helps to improve the process of educating a future teacher's personality in terms of creating a health-preserving environment of higher education, is able apply to creatively acquired healthpreserving knowledge, skills and abilities in practice as well as to find, process, analyze, use information independently, think nonlinearly, use modern content in future teacher's activities, methods of education, technologies, pedagogical techniques, acquire the necessary personal qualities, selfchange and strive for continuous self-improvement. …”
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Design and Analysis of FOPID-Based Damping Controllers Using a Modified Grey Wolf Optimization Algorithm by Manoj Kumar Kar, Sanjay Kumar, Arun Kumar Singh, Sibarama Panigrahi, Murthy Cherukuri

“…Additionally, fractional-order PID (FOPID) controller is used to handle the system nonlinearities and thus achieve better performance. The control parameters are tuned using the proposed MGWOA method which has been verified on unimodal and multimodal functions. …”
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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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Structural restoration of a historic palace in Italy by Paolo Foraboschi

“…The discussion also emphasizes the often-overlooked limitations of material testing in accurately assessing masonry strength and delves into the critical impact of material and geometric nonlinearities on maximum stress levels – issues that remain underexplored in the existing literature.…”
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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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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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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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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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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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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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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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Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Po... by Meirong Ren, Tiange Zhang, Jifeng Cui, Xiaogang Chen, Bixia Wu

“…The numerical solutions of the potential and velocity distributions are obtained by solving the nonlinear Poisson-Boltzmann equation, the constitutive equation of the Jeffrey fluid, and the Cauchy momentum equation applying the Chebyshev spectral method and the finite difference method. …”
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A New Processing Method Combined with BP Neural Network for Francis Turbine Synthetic Characteristic Curve Research by Junyi Li, Canfeng Han, Fei Yu

“…The principle of the proposed method is to convert the nonlinear characteristics of turbine to torque and flow characteristics, which can be used for real-time simulation directly based on neural network. …”
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Seismic Response and Evaluation of SDOF Self-Centering Friction Damping Braces Subjected to Several Earthquake Ground Motions by Jong Wan Hu, Myung-Hyun Noh

“…The configuration and response mechanism of self-centering friction damping brace systems are firstly described in this study, and then parametric investigations are conducted through nonlinear time-history analyses performed on numerical single degree-of-freedom spring models. …”
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Understanding Multiferroic Hexagonal Manganites by Static and Ultrafast Optical Spectroscopy by Yu Ting Wang, Chih Wei Luo, Takayoshi Kobayashi

“…Their electronic structures were revealed by static linear and nonlinear spectra. Two transitions located at ~1.7 eV and ~2.3 eV have been observed and attributed to the interband transitions from the lower-lying Mn3+dxy/dx2-y2 and dxz/dyz states to the Mn3+d3z2-r2 state, respectively. …”
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