The prognostic value of the platelet-to-lymphocyte ratio in multiple myeloma patients treated with a bortezomib-based regimen by Quane Zhang, Yifan Wang, Wenting Shi, Yue Chen, Zhengmei He, Liang Yu, Chunling Wang

“…The RCS curves further confirmed a significant nonlinear relationship between the PLR and OS in patients with MM. …”
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The non-Fourier–Fick’s heat and mass flux effect in a bioconvective nanofluid flow over a stretching cylinder with suction/injection and convective conditions by Endale Ersino Bafe, Mitiku Daba Firdi, Lemi Guta Enyadene

“…The governing equations are transformed into nonlinear ODEs and solved using a spectral local linearization method. …”
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Solving Fractional Difference Equations Using the Laplace Transform Method by Li Xiao-yan, Jiang Wei

“…On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.…”
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A new solitary wave solution of the fractional phenomena Bogoyavlenskii equation via Bäcklund transformation by Yousef Jawarneh, Humaira Yasmin, Ali M. Mahnashi

“…In this paper, we use the Riccati–Bernoulli sub-ODE method in conjunction with the Bäcklund transformation to find out the exact solutions of the nonlinear time–space fractional Bogoyavlenskii equation. …”
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High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws by Jia Guo, Huajun Zhu, Zhen-Guo Yan, Lingyan Tang, Songhe Song

“…Then, WCNS (weighted compact nonlinear scheme) is adopted to capture shocks in these areas, while the smooth area is calculated by CPR. …”
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STUDY ON THE NON-LINEAR VIBRATION IN THE HYDRAULIC SCREW DOWN VERTICAL SYSTEM FOR ROLLING MILL by ZHANG RuiCheng, MA YinZhou, GAO Zheng, WEN JiaHe

“…For vertical vibration systems tend to ignore the influence of hydraulic screw down system in the rolling mill,two degrees of freedom hydraulic screw down vertical vibration system model was established based on viscous damping between the hydraulic cylinder and the frame,nonlinear stiffness between the rolling interface. …”
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Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems by D. Baleanu, A. H. Bhrawy, T. M. Taha

“…The generalized Laguerre pseudo-spectral approximation based on the generalized Laguerre operational matrix is investigated to reduce the nonlinear multiterm FDEs and its initial conditions to nonlinear algebraic system, thus greatly simplifying the problem. …”
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A Study on Hysteresis Stiffness Model and Parameter Identification of Harmonic Gear Transmission based on Genetic Characteristic by Linfeng Qiu, Manyi Chen, Gang Song, Jie Zhang, Ran Yang, Han Zhang

“…The fitting results show that the nonlinear hysteretic stiffness model is in good agreement with the experimental data， and the accuracy is greatly improved compared with the traditional model.…”
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Path Following Control of an AUV under the Current Using the SVR-ADRC by Zheping Yan, Yibo Liu, Jiajia Zhou, Di Wu

“…It is derived using SVR algorithm to adjust the coefficients of the nonlinear state error feedback (ELSEF) part in ADRC to deal with nonlinear variations at different operating points. …”
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Dynamic Characteristics of Metro Trains under Rescue Conditions by Ruiming Zou, Shihui Luo, Weihua Ma, Qing Wu

“…In order to study the dynamic characteristics of metro train under rescue conditions, a detailed dynamic model with different train formations is established, taking into account the characteristics of wheel-rail contact, nonlinear characteristics of suspension components, and nonlinear hysteresis characteristics of the draft gear systems. …”
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Comparison of Two Mechanics-Based Methods for Simplified Structural Analysis in Vulnerability Assessment by H. Crowley, B. Borzi, R. Pinho, M. Colombi, M. Onida

“…This paper looks at two mechanics-based vulnerability assessment methods (DBELA and SP-BELA) and compares the nonlinear static response predicted with these methods with finite elements-based nonlinear analyses of prototype buildings. …”
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Model Predictive Control for Load Frequency Control with Wind Turbines by Yi Zhang, Xiangjie Liu, Yujia Yan

“…The scheme incorporates the two critical nonlinear constraints, for example, the generation rate constraint (GRC) and the valve limit, into convex optimization problems. …”
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Large deflections of agglomerated carbon nanotubes reinforced sandwich cantilever beam partially embedded on foundation by Bui, Thi Thu Hoai, Tran, Thi Thu Huong, Pham, Vu Nam, Nguyen, Dinh Kien 

“…The sandwich beam is composed of a homogeneous core and composite face layers with effective moduli being estimated by Eshelby–Mori–Tanaka model. The nonlinear equilibrium equation is constructed using a first-order shear deformable nonlinear beam element and solved by the Newton–Raphson based iterative procedure. …”
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Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control by Xiongfeng Deng, Xiuxia Sun, Ri Liu, Shuguang Liu

“…The model of each agent includes time-varying nonlinear dynamic and external disturbance, where the time-varying nonlinear term satisfies the global Lipschitz condition and the disturbance term satisfies norm-bounded condition. …”
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Probability of Exceeding Damage States in Plates Using BEM by Ernesto Pineda-León, José Manuel Rosales-Juárez, Dante Tolentino, Orlando Susarrey-Huerta

“…An approach to obtain fragility curves taking into account the formulation for shear deformable plate theory with combined geometric and material nonlinearities and the boundary element method is proposed. …”
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Towards Human Capture Movement: Estimation of Anatomical Movements of the Shoulder by B. B. Salmerón-Quiroz, C. F. Mendez-Barrios, J. F. Guerrero-Castellanos, S. A. Rodriguez-Paredes, G. Villegas-Medina

“…The originality of this paper is to apply the discrete optimization to track the desired trajectory of a nonlinear system such as the Human Movement in the presence of uncertainties. …”
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Modeling and dynamic analysis of split torsion transmission system considering backlash and center distance errors by Jingwei Ding, Guanghu Jin

“…The findings indicate that the impact of center distance error on the system’s dynamics is linear, whereas the effect of backlash is nonlinear. Moreover, the center distance error in the parallel-level stage and the backlash in the split-torsion stage are critical factors influencing the system’s dynamic characteristics. …”
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Weighted Multimodel Predictive Function Control for Automatic Train Operation System by Shuhuan Wen, Jingwei Yang, Ahmad B. Rad, Shengyong Chen, Pengcheng Hao

“…Train operation is a complex nonlinear process; it is difficult to establish accurate mathematical model. …”
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Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling by Douglas Domingues Bueno, Luiz Carlos Sandoval Góes, Paulo José Paupitz Gonçalves

“…This work presents a strategy to control nonlinear responses of aeroelastic systems with control surface freeplay. …”
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Optimal Power Flow Algorithm Based on Second-Order Cone Relaxation Method for Electricity-Gas Integrated Energy Microgrid by Fan Zhang, Zhuzheng Shen, Wen Xu, Guofeng Wang, Biyi Yi

“…Due to the existence of nonlinear constraints, it is difficult to solve the power flow directly. …”
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