Physics-Based and Data-Driven Modeling of Degradation Mechanisms for Lithium-Ion Batteries—A Review by Pedro Lozano Ruiz, Nikolaos Damianakis, Gautham Ram Chandra Mouli

“…Linear degradation models can be inaccurate in capturing the highly nonlinear behavior of LIB degradation caused by multiple simultaneous degradation mechanisms. …”
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Fragility-Based Improvement of System Seismic Performance for Long-Span Suspension Bridges by Guanya Lu, Kehai Wang, Wenhua Qiu

“…Component-level fragility curves were derived by probabilistic seismic demand models (PSDMs) using a set of nonlinear time-history analyses that incorporated the related uncertainties such as earthquake motions and structural properties. …”
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Improved Grey Particle Swarm Optimization and New Luus-Jaakola Hybrid Algorithm Optimized IMC-PID Controller for Diverse Wing Vibration Systems by Nailu Li, Hua Yang, Anle Mu

“…Diverse wing vibration systems, including linear system, nonlinear system and multiple-input-multiple-output system are considered to verify the effectiveness of proposed method. …”
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Experimental Characterization, Computational Investigation, and Structure-propertyeactivity Relationship Studies of Nickel Ferrite Nanostructures by Ali Ben Ahmed

“…Additionally, the theoretical background of nickel ferrite was carved out using Density Functional Theory (DFT) by evaluating the electronic structure through the Frontier Molecular Orbital, Molecular Electrostatic Potential, Milliken charge distribution, Density of state spectrum, and nonlinear optical parameters embedded within the nickel ferrite molecule. …”
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A modified scheme to the multiple shooting method for BVPs by Samad Kheybari, Mohammad Taghi Darvishi, Farzaneh Alizadeh, Salah Mahmoud Boulaaras, Kamyar Hosseini

“…The effectiveness of the proposed method is demonstrated through various test problems, including a ninth-order linear problem, a tenth-order nonlinear problem, and several stiff problems, with results showing superior performance compared to the standard shooting method and the modified decomposition method. …”
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Active Fault-Tolerant Control for Wind Turbine with Simultaneous Actuator and Sensor Faults by Lei Wang, Ming Cai, Hu Zhang, Fuad Alsaadi, Liu Chen

“…The effectiveness of the design strategy is verified by implementing the controller in the National Renewable Energy Laboratory’s 5-MW nonlinear, high-fidelity wind turbine model (FAST) and simulating it in MATLAB/Simulink.…”
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A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters by Rugao Gao, Keping Zhou, Yun Lin

“…The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications due to its good performance in both computational efficiency and accuracy. But in gPCEM, a nonlinear transformation of random variables should always be used to adapt the generalized Polynomial Chaos theory for the analysis of random problems with complicated probability distributions, which may introduce nonlinearity in the procedure of random uncertainty propagation as well as leading to approximation errors on the probability distribution function (PDF) of random variables. …”
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Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel by Mohammed H. Kamel, Islam M. Eldesoky, Bilal M. Maher, Ramzy M. Abumandour

“…The analysis has been carried out by duly accounting for the nonlinear convective acceleration terms and the slip condition for the fluid part on the wavy wall. …”
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A Low Computational Complexity SML Estimation Algorithm of DOA for Wireless Sensor Networks by Faming Gong, Haihua Chen, Shibao Li, Jianhang Liu, Zhaozhi Gu, Masakiyo Suzuki

“…However, its computational complexity is very high because multidimensional nonlinear optimization problem is usually involved. …”
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An Oseen Two-Level Stabilized Mixed Finite-Element Method for the 2D/3D Stationary Navier-Stokes Equations by Aiwen Wang, Xin Zhao, Peihua Qin, Dongxiu Xie

“…In addition, the Oseen two-level stabilized method involves solving one small nonlinear Navier-Stokes problem on the coarse mesh with mesh size H, a large general Stokes equation on the fine mesh with mesh size h=O(H)2. …”
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Deep characteristic learning model for real-time flow monitoring based on H-ADCP by Yu Li, Xin Zhao, Yibo Wang, Ling Zeng

“…This study proposed a deep characteristic learning (DCL) model to identify and extract the nonlinear characteristics between flow velocity of H-ADCP cell and river cross section by incorporating multiple intelligent algorithms. …”
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Machine‐Learned HASDM Thermospheric Mass Density Model With Uncertainty Quantification by Richard J. Licata, Piyush M. Mehta, W. Kent Tobiska, S. Huzurbazar

“…We utilize principal component analysis for dimensionality reduction, which creates the coefficients upon which nonlinear machine‐learned (ML) regression models are trained. …”
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Optimal Design of Bus Stop Locations Integrating Continuum Approximation and Discrete Models by Xiaoling Luo, Wenbo Fan, Yangsheng Jiang, Jun Zhang

“…Then, the stop location problem is formulated into a multivariable nonlinear minimization problem with a given number of stop location variables and location constraint. …”
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Reconstruction of self-oscillating systems with delay time modulation by Ponomarenko, Vladimir Ivanovich, Prokhorov, Mihail Dmitrievich

“…With their help, one can estimate the mean delay time and recove the nonlinear function of the system. The proposed method, aimed at application to time-delay systems with delay time modulation, allows one to estimate the frequency and amplitude of delay time modulation. …”
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Dynamic Characteristics of Electrostatically Actuated Shape Optimized Variable Geometry Microbeam by Sha Zhang, Wen-Ming Zhang, Zhi-Ke Peng, Guang Meng

“…We mainly analyze the dynamic characteristics of electrostatically actuated shape optimized variable geometry microbeam. A nonlinear dynamic model considering midplane stretching, electrostatic force, and electrical field fringing effects is developed. …”
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Towards a spectrally multiplexed quantum repeater by Tanmoy Chakraborty, Antariksha Das, Hedser van Brug, Oriol Pietx-Casas, Peng-Cheng Wang, Gustavo Castro do Amaral, Anna L. Tchebotareva, Wolfgang Tittel

“…Here we demonstrate the concurrent employment of (1) spectrally multiplexed cavity-enhanced spontaneous parametric down-conversion in a nonlinear crystal; (2) a virtually-imaged phased array that enables mapping of spectral modes onto distinct spatial modes for frequency-selective detection; and (3) a cryogenically-cooled Tm3+:LiNbO3 crystal that allows spectral filtering in an approach that anticipates its use as a spectrally-multiplexed quantum memory. …”
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Global stability boundary analysis and verification of aviation pressure servo-controlled actuator system by Zhipeng Huang, Xinjie Li, Zeyu Cao, Chentian Ma, Yunhe Wang, Bin Yu, Guoliang Ma, Xiangdong Kong

“…Abstract In this paper, the mathematical model of the aviation pressure servo valve controlled actuator system(APSVCAS) considering nonlinearity is established based on a jet pipe pressure servo valve in this article. …”
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Large-scale S-box design and analysis of SPS structure by Lan ZHANG, Liangsheng HE, Bin YU

“…A class of optimal linear transformation P over a finite field<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <msup> <mrow> <mrow><mo>(</mo> <mrow> <msubsup> <mi>F</mi> <mn>2</mn> <mi>m</mi> </msubsup> </mrow> <mo>)</mo></mrow></mrow> <mn>4</mn> </msup> </mrow></math></inline-formula> was constructed based on cyclic shift and XOR operation.Using the idea of inverse proof of input-output relation of linear transformation for reference, a proof method was put forward that transformed the objective problem of optimal linear transformation into several theorems of progressive relation, which not only solved the proof of that kind of optimal linear transformation, but also was suitable for the proof of any linear transformation.By means of small-scale S-box and optimal cyclic shift-XOR linear transformation P, a large-scale S-box model with 2-round SPS structure was established, and a series of lightweight large-scale S-boxes with good cryptographic properties were designed.Only three kind of basic operations such as look-up table, cyclic shift and XOR were used in the proposed design scheme, which improved the linearity and difference uniformity of large-scale S-boxes.Theoretical proof and case analysis show that, compared with the existing large-scale S-box construction methods, the proposed large-scale S-box design scheme has lower computational cost and better cryptographic properties such as difference and linearity, which is suitable for the design of nonlinear permutation coding of lightweight cryptographic algorithms.…”
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Super-Twisting Sliding Mode Control for Gearless PMSG-Based Wind Turbine by Mojtaba Nasiri, Saleh Mobayen, Quan Min Zhu

“…It should be noted that the super-twisting sliding mode (STSM) control is implemented to effectively deal with nonlinear relationship between DC-link voltage and the input control signal. …”
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Innovative soliton solutions for a (2+1)-dimensional generalized KdV equation using two effective approaches by Ibrahim Alraddadi, Faisal Alsharif, Sandeep Malik, Hijaz Ahmad, Taha Radwan, Karim K. Ahmed

“…This detailed examination demonstrates the complex behavior of the model and its capability to explain a large scale of nonlinear wave occurrences in many physical settings. …”
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