Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control by J. Humberto Pérez-Cruz, Pedro A. Tamayo-Meza, Maricela Figueroa, Ramón Silva-Ortigoza, Mario Ponce-Silva, R. Rivera-Blas, Mario Aldape-Pérez

“…This controller requires knowing a priori Lipschitz constant of the nonlinear function of the chaotic system on its attractor. …”
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Command Filtering and Barrier Lyapunov Function-Based Adaptive Control for PMSMs with Core Losses and All-State Restrictions by Xiaoling Wang, Jinpeng Yu

“…To begin with, the RBF neural network technique is utilized to get close to the uncharted nonlinear terms which existed in PMSM’s mathematical model. …”
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Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams by Menglin Lou, Qiuhua Duan, Genda Chen

“…In this approach, the differential equation of motion describing the dynamic behavior of the Timoshenko beam can be transformed into a set of nonlinear algebraic equations. Therefore, the solution process can be simplified significantly for the Timoshenko beam with arbitrary boundaries. …”
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A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model by Ziwei Cao, Longwen Chen, Ke Li, Guoqing Huang, Ruili Liu

“…In this paper, we propose a novel nonlinear mathematical programming model based on the 3D Gaussian wake model and use a mathematical programming approach to optimize the layout of the wind farm and the cable layout together, considering both power generation and cable cost. …”
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A novel approach to $ \mathit{q} $-fractional partial differential equations: Unraveling solutions through semi-analytical methods by Khalid K. Ali, Mohamed S. Mohamed, M. Maneea

“…In this study, we solve linear and nonlinear $ \mathit{q} $-FPDEs and obtain the closed-form solutions, which confirm the validity of the utilized methods. …”
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Adaptive Fuzzy Path Tracking Control for Mobile Robots with Unknown Control Direction by Qifei Du, Lin Sha, Wuxi Shi, Liankun Sun

“…Nevertheless, the exact position of the center of mass is not easy to measure, thus WMRs is a typical uncertain nonlinear system with unknown control direction. Based on the fast terminal sliding mode control, an adaptive fuzzy path tracking control scheme is proposed for mobile robots with unknown control direction. …”
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Linkage Analysis between Solid-Fluid Coupling and the Strength Reduction Method for Karst Cave Water Inrush in Mines by Yanlin Zhao, Jian Liao, Qiang Liu, Yang Li, Jianchao Cheng

“…The present paper aims to study the mechanical mechanism and characteristics of water irruption from Karst cave. Combining the nonlinear seepage-pipe coupling model with the strength reduction method, the linkage analysis of fluid solid coupling and strength reduction method are constructed to study the whole process of confined Karst cave water inrush. …”
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The lean body mass to visceral fat mass ratio is negatively associated with cardiometabolic disorders: a cross-sectional study by Ya Shao, Na Wang, Meiling Shao, Bin Liu, Yu Wang, Yan Yang, Longti Li, Huiqin Zhong

“…Dyslipidemia and diabetes demonstrated nonlinear patterns, while a linear association was found for hypertension. …”
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Analyzing the Effect of Dividends on Default Probability According to Signaling and Agency Theories by Alireza Najjarpour, Saeed Fathi, Ali Foroush Bastani

“…ResultsThe findings suggest a quadratic U-shaped nonlinear relationship between dividends and the probability of default. …”
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Association between blood test indicators and atrial fibrillation in elderly patients aged 65 and above in the Central Jiangsu region: a cross-sectional study by Hao Liang, Shuai Zhang, Ye Zhu

“…Restricted cubic spline regression analysis showed a significant nonlinear relationship between direct bilirubin and AF (P for nonlinear < 0.001). …”
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Forecasting the Incidence of Mumps Based on the Baidu Index and Environmental Data in Yunnan, China: Deep Learning Model Study by Xin Xiong, Linghui Xiang, Litao Chang, Irene XY Wu, Shuzhen Deng

“…DNLM analysis revealed that the relative risks consistently increased with rising Baidu index values, while nonlinear associations between temperature and mumps incidence were observed. …”
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Optimal Deployment of Dynamic Wireless Charging Lanes for Electric Vehicles considering the Battery Charging Rate by Jun Du, Mingyang Pei, Bin Jia, Pan Wu

“…First, we propose a mixed-integer model with nonlinear constraints to determine the locations and lengths of the charging lanes. …”
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The Within-Host dynamics of malaria infection with immune response by Yilong Li, Shigui Ruan, Dongmei Xiao

“…In this article the blood-stage dynamics ofmalaria in an infected host are studied by incorporating red bloodcells, malaria parasitemia and immune effectors into a mathematicalmodel with nonlinear bounded Michaelis-Menten-Monod functionsdescribing how immune cells interact with infected red blood cellsand merozoites. …”
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Adaptive Finite-Time Fault-Tolerant Control for Half-Vehicle Active Suspension Systems with Output Constraints and Random Actuator Failures by Jie Lan, Tongyu Xu

“…The problem of adaptive finite-time fault-tolerant control (FTC) and output constraints for a class of uncertain nonlinear half-vehicle active suspension systems (ASSs) are investigated in this work. …”
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Stabilities of Cubic Mappings in Various Normed Spaces: Direct and Fixed Point Methods by H. Azadi Kenary, H. Rezaei, S. Talebzadeh, S. Jin Lee

“…Rassias solved the above Ulam problem for linear and nonlinear mappings and established analogous stability problems even on restricted domains. …”
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Optimal Design and Acoustic Assessment of Low-Vibration Rotor Blades by G. Bernardini, E. Piccione, A. Anobile, J. Serafini, M. Gennaretti

“…The process exploits an aeroelastic solver that is based on a nonlinear, beam-like model, suited for the analysis of arbitrary curved-elastic-axis blades, with the introduction of a surrogate wake inflow model for the analysis of sectional aerodynamic loads. …”
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Observation of Pattern Stabilization in a Driven Superfluid by Nikolas Liebster, Marius Sparn, Elinor Kath, Jelte Duchene, Keisuke Fujii, Sarah L. Görlitz, Tilman Enss, Helmut Strobel, Markus K. Oberthaler

“…Theoretically, this can be understood as the emergence of a stable fixed point of coupled nonlinear amplitude equations, which include phonon-phonon interactions. …”
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Experimental study and gyrokinetic simulations of isotope effects on core heat transport in JET tokamak deuterium and tritium plasmas by D. Brioschi, P. Mantica, A. Mariani, N. Bonanomi, E. Delabie, J. Garcia, N. Hawkes, I. Jepu, D. Keeling, E. Lerche, E. Litherland-Smith, C.F. Maggi, S. Menmuir, G. Szepesi, D. Taylor, D. Van Eester, JET Contributors

“…In order to characterize the turbulence dependence on the isotope mass, three of these discharges (two in T and one in D) with same external heating scheme are studied in detail and interpreted with gyrokinetic linear and nonlinear simulations. The analysis is performed at fixed radius $\rho_\mathrm{tor} = 0.33$ , selected in order to maximize the electromagnetic stabilizing effects on turbulence, both from thermal and suprathermal particles. …”
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Stochastic Stabilization of Malware Propagation in Wireless Sensor Network via Aperiodically Intermittent White Noise by Xiaojing Zhong, Baihao Peng, Feiqi Deng, Guiyun Liu

“…Our results show that the nonlinear malware propagation system can be stabilized by intermittent stochastic perturbation under the intermittent time related to stochastic perturbation intensity. …”
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Influence Factors Analysis of RC Beams under Falling Weight Impact Based on HJC Model by Xiaohong Long, Ahmed Turgun, Rong Yue, Yongtao Ma, Hui Luo

“…In this paper, the sensitivity analysis was conducted for the 22 parameters of the Holmquist–Johnson concrete (HJC) constitutive model of concrete, and the sensitive parameters of the HJC model are identified with A, B, G, Pl, μl, and fc respectively. LS-DYNA nonlinear transient finite element analysis code was used for this paper. …”
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