Development and Control of a Robotic Exoskeleton for Shoulder, Elbow and Forearm Movement Assistance by Mohammad Habibur Rahman, Thierry Kittel-Ouimet, Maarouf Saad, Jean-Pierre Kenné, Philippe S. Archambault

“…To control the exoskeleton, a nonlinear sliding mode control (SMC) technique was employed. …”
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A Survey of Insulin-Dependent Diabetes—Part I: Therapies and Devices by Daisuke Takahashi, Yang Xiao, Fei Hu, Michael Lewis

“…However, the complete replacement of exogenous insulin is still a challenging issue because of its complexity of modeling the dynamics, which is typically modeled nonlinearly. On the other hand, thanks to the progress of medical devices, currently the diabetes therapies are being automated. …”
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Torsional Oscillations in Automotive Transmissions: Experimental Analysis and Modelling by Enrico Galvagno, Mauro Velardocchia, Alessandro Vigliani

“…Moreover, the effects of the nonlinearities associated with the mean value of the excitations are shown. …”
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A Probabilistic Assessment Model for Train-Bridge Systems: Special Attention on Track Irregularities by Dejun Liu, Lifeng Xin, Xiaozhen Li, Jiaxin Zhang

“…In this paper, a probabilistic model devoted to investigating the dynamic behaviors of train-bridge systems subjected to random track irregularities is presented, in which a train-ballasted track-bridge coupled model with nonlinear wheel-rail contacts is introduced, and then a new approach for simulating a random field of track irregularities is developed; moreover, the probability density evolution method is used to describe the probability transmission from excitation inputs to response outputs; finally, extended analysis from three aspects, that is, stochastic analysis, reliability analysis, and correlation analysis, are conducted on the evaluation and application of the proposed model. …”
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Estimation of the Dynamic Moduli of Viscoelastic Asphalt Mixtures Using the Extended Kalman Filter Algorithm by Yu-Seok Gong, Dowan Kim, Sungho Mun

“…We compared IRT-derived viscoelastic master curves obtained via compressive frequency sweep testing to those derived using the EKF algorithm, which employs a nonlinear sigmoidal curve and a Taylor series to explore the viscoelastic function. …”
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Flexible Temporary Shield in Soft and Sensitive Clay: 3D FE Modelling of Experimental Field Test by Miah Alam, Omar Chaallal, Bertrand Galy

“…The excavation trench model was 6 m (20 ft) deep and was considered as nonlinear and anisotropic clay. A 45 kPa (0.94 ksf) surface overload on top of the soil near the trench box was also simulated to produce a maximum load case on the flexible wall of the shield. …”
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Exact solutions for the Cahn–Hilliard equation in terms of Weierstrass-elliptic and Jacobi-elliptic functions by Akhtar Hussain, Tarek F. Ibrahim, F. M. Osman Birkea, Abeer M. Alotaibi, Bushra R. Al-Sinan, Herbert Mukalazi

“…Abstract Despite the historical position of the F-expansion method as a method for acquiring exact solutions to nonlinear partial differential equations (PDEs), this study highlights its superiority over alternative auxiliary equation methods. …”
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Association of glucose to lymphocyte ratio with the risk of death in patients with atherosclerotic cardiovascular disease by Jinglin Lei, Wentao Duan, Xiaoxi Yao, Zheng Hu, Huihui Fan, Yifan Liu, Wenjian Zhong, Haipeng Li

“…Notably, the relationship between GLR and all-cause mortality exhibited a J-shaped nonlinear pattern, with an inflection point at 3.13.…”
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Advanced Fractional Mathematics, Fractional Calculus, Algorithms and Artificial Intelligence with Applications in Complex Chaotic Systems by Dumitru Baleanu, Yeliz Karaca

“…As a long-term aperiodic and random-like behavior manifested by many nonlinear complex dynamic systems, chaos induces that the system itself is inherently unstable and disordered, which requires the revealing of representative and accessible paths towards affluence of complexity and experimental processes so that novelty, diversity and robustness can be generated. …”
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The triglyceride-glucose index trajectories are associated with cardiovascular diseases in people living with HIV: evidence from a prospective cohort study in China, 2005–2022 by Yinsong Luo, Liqin Sun, Yun He, Fang Zhao, Duo Shan, Fan Bu, Lingyun Ge, Xiaorui Li, Yiyao Hu, Xi Xiao, Hongzhou Lu, Jiaye Liu

“…While women also demonstrated a nonlinear association with a similar threshold (8.484), the relationship above the threshold was not statistically significant. …”
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Transportation System Vulnerability Assessment considering Environmental Impact by Juanjuan Lin, Wangbing Lin

“…Hence, the problem is formulated as a nonlinear programme with equilibrium constraints, considering travelers’ route choice behavior. …”
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Solving Fractional-Order Diffusion Equations in a Plasma and Fluids via a Novel Transform by Pongsakorn Sunthrayuth, Haifa A. Alyousef, S. A. El-Tantawy, Adnan Khan, Noorolhuda Wyal

“…Also, the proposed method helps many plasma physicists in modeling several nonlinear structures such as solitons, shocks, and rogue waves in different plasma systems.…”
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An Improved Method of EWT and Its Application in Rolling Bearings Fault Diagnosis by Zhicheng Qiao, Yongqiang Liu, Yingying Liao

“…The permutation entropy (PE) is used to construct feature vectors for its strong induction ability of dynamic changes of nonstationary and nonlinear signals. The crucial parameter penalty factor C and kernel parameter g of SVM are optimized by quantum genetic algorithm (QGA). …”
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Damage and Failure of Aeroengine Blades Under Small UAV Impacts by Zhibin Wu, Chi Chen, Feiying Chen, Jun Liu

“…The FE modelling was carried out by commercial software named LS-DYNA R13.1.0, which is one of the most advanced simulation tools for nonlinear dynamic structural analysis, mainly solving numerical simulations of collision and penetration problems. …”
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Constitutive Model of Solid Backfill Materials and Numerical Simulation of Overburden Movement and Deformation in Backfill Mining by Chao Ma, Lianying Zhang, Bing Li, Xianbiao Mao

“…The influence of mining height and mining depth on the deformation of key strata of overburden and surface subsidence is approximately linear, while the influence of the initial compaction rate is nonlinear.…”
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The Optimal Machine Learning Model for the Precise Prediction of HighPerformance Concrete Strength Property by Yufeng Qian

“…Assessment of compressive strength, especially for high-performance concrete, is first due to the nonlinear relationship between the compressive strength and the concrete constituents. …”
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The Complexity Analysis for Price Game Model of Risk-Averse Supply Chain Considering Fairness Concern by Huang Yi-min, Li Qiu-xiang, Zhang Yu-hao

“…The stability of the system and the influences of different parameter values on utilities are analyzed emphatically using game theory and nonlinear dynamic theory, such as 2D and 3D bifurcation diagram, parameter plot basin, chaos attractor, and sensitivity to initial value. …”
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A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency by Weizhi Xu, Dongsheng Du, Shuguang Wang, Weiwei Li

“…An innovative simplified calculation method for determining the ADR of a structure supplemented by nonlinear viscous dampers is proposed. This method does not require the dynamic response of the structure to be calculated and only requires the structural characteristics, excitation frequency, and damper parameters. …”
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Separation effectiveness of ideal ion exchange membranes: Application of the Gibbs-Donnan theory. by Jacek Waniewski, Leszek Pstras, Mauro Pietribiasi

“…For both cases, the presented nonlinear algebraic equations require in general the use of numerical methods to approximate their mathematical solutions, although we present as well some closed solutions for simple cases with ideal ionic mixtures. …”
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