Association between the cumulative estimated glucose disposal rate and incident cardiovascular disease in individuals over the age of 50 years and without diabetes: data from two l... by Jin Zhang, Ziyi Sun, Yufei Li, Yuhan Yang, Wenjie Liu, Mengwen Huang, Kuiwu Yao

“…The RCS regression model showed a negative and linear association between the cumulative eGDR and incidence of CVD (CHARLS: P < 0.001, P for nonlinearity = 0.248; HRS: P = 0.013, P for nonlinearity = 0.121). …”
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Rolling Element Bearing Fault Diagnosis Based on Multiscale General Fractal Features by Weigang Wen, Zhaoyan Fan, Donald Karg, Weidong Cheng

“…Nonlinear characteristics are ubiquitous in the vibration signals produced by rolling element bearings. …”
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A Decoupling Control Method for Shunt Hybrid Active Power Filter Based on Generalized Inverse System by Xin Li, Bo Li

“…In this paper, a novel decoupling control method based on generalized inverse system is presented to solve the problem of SHAPF (Shunt Hybrid Active Power Filter) possessing the characteristics of 2-input-2-output nonlinearity and strong coupling. Based on the analysis of operation principle, the mathematical model of SHAPF is firstly built, which is verified to be invertible using interactor algorithm; then the generalized inverse system of SHAPF is obtained to connect in series with the original system so that the composite system is decoupled under the generalized inverse system theory. …”
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Quantitative Study of Load Stability of Quadrotor Based on Lyapunov Exponents by Tiantian Dong, Yonghong Zhang, Yunping Liu, Cheng Chen

“…This approach resolves the challenge of constructing system eigenvalues due to the nonlinearity and high order of the quadrotor. To enhance the reliability of stability analysis, a quantitative relationship between system dynamics parameters and motion stability is established by combining the dynamic model with the Lyapunov exponent method. …”
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Existence and Global Asymptotic Behavior of Singular Positive Solutions for Radial Laplacian by Imed Bachar, Habib Mâagli, Said Mesloub

“…We emphasize that the nonlinearity might also be singular at u=0, while the solution could blow-up at 0. …”
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Derivation of ODEs and Bifurcation Analysis of a Two-DOF Airfoil Subjected to Unsteady Incompressible Flow by H. Alighanbari, S. M. Hashemi

“…The differential equations are then used for the bifurcation analysis of an airfoil with a structural nonlinearity in the pitch direction. Sample bifurcation diagrams showing both stable and unstable limit cycle oscillation are presented. …”
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Multivariate Local Polynomial Regression with Application to Shenzhen Component Index by Liyun Su

“…This study attempts to characterize and predict stock index series in Shenzhen stock market using the concepts of multivariate local polynomial regression. Based on nonlinearity and chaos of the stock index time series, multivariate local polynomial prediction methods and univariate local polynomial prediction method, all of which use the concept of phase space reconstruction according to Takens' Theorem, are considered. …”
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New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method by Wafaa M. Taha, M. S. M. Noorani, I. Hashim

“…Many new exact traveling wave solutions of the Schamel equation, Schamel-KdV (S-KdV), and the two-dimensional modified KP (Kadomtsev-Petviashvili) equation with square root nonlinearity are constructed. The traveling wave solutions obtained via this method are expressed by hyperbolic functions, the trigonometric functions, and the rational functions. …”
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Prediction of Matrix Failure in Fibre Reinforced Polymer Composites by J. Wang, W. K. Chiu

“…This paper also provided a preliminary discussion about the issues when material nonlinearity of the matrix material is involved.…”
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Direction of Arrival Estimation Accuracy Enhancement via Using Displacement Invariance Technique by Youssef Fayad, Caiyun Wang, Qunsheng Cao, Alaa El-Din Sayed Hafez

“…It is worth mentioning that the subspace approach has been employed into ESPRIT and DIT methods to reduce the computational complexity and the model’s nonlinearity effect. The DOAE accuracy has been verified by closed-form Cramér-Rao bound (CRB). …”
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Finite-Time Antisaturation Tracking Control for Hypersonic Vehicle with Uncertain Dynamics by Yuwei Cui, Yushan He, Aijun Li, Jun Li, Shuo Song

“…Furthermore, an auxiliary system is established to cope with the nonlinearity caused by actuator saturation. It is concluded by a Lyapunov-based analysis that the finite-time stability is guaranteed under the developed architecture. …”
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Simulation of Octopus Arm Based on Coupled CPGs by Juan Tian, Qiang Lu

“…The octopus arm is made of a soft material introducing high-dimensionality, nonlinearity, and elasticity, which makes the octopus arm difficult to control. …”
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Existence and Uniqueness of Solutions for Fractional Boundary Value Problems under Mild Lipschitz Condition by Imed Bachar, Habib Mâagli, Hassan Eltayeb

“…This paper deals with the following boundary value problem Dαut=ft,ut,t∈0,1,u0=u1=Dα−3u0=u′1=0, where 3<α≤4,Dα is the Riemann-Liouville fractional derivative, and the nonlinearity f, which could be singular at both t=0 and t=1, is required to be continuous on 0,1×ℝ satisfying a mild Lipschitz assumption. …”
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A BP Neural Network-Based GIS-Data-Driven Automated Valuation Framework for Benchmark Land Price by Lei Wu, Yu Zhang, Yongchang Wei, Fangyu Chen

“…However, this problem becomes highly challenging due to the multidimension, large volume, and nonlinearity of the land price-influencing factors. In this paper, an effective data-driven automated valuation framework is proposed for valuing real estate assets by combining a GIS (geographic information system) and neural network technologies. …”
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Fault Diagnosis Method for the Bearing of Reciprocating Compressor based on LMD Multiscale Entropy and SVM by Yang Songshan, Zhou Hao, Zhao Haiyang, Wang Jindong

“…Aiming at the non-stationary and nonlinearity characteristics of reciprocating compressor vibration signal,a fault diagnosis method for bearing fault of reciprocating compressor based on LMD multiscale entropy and SVM is proposed.To improve the envelope approximation accuracy of local mean and envelope estimation,cubic Hermite interpolation method is used to construct envelope curves between extreme points according to the excellent characteristic of shape preservation.The vibration signals in each state are decomposed into a series of PF components with the improved LMD method,and the PF components which contain the main information of fault state are chosen according to the relative coefficient.By using the multiscale entropy,the quantitative description of the PF components is carried out,and the optimized scale factor is selected based on the maximum of average distances between different states,so the eigenvectors which have the best divisibility are extracted.The SVM is taken as pattern classifier,the type of bearing clearance fault is diagnosed,and the superiority of this method is verified by comparing the eigenvectors extracted by LMD and sample entropy and LMD and approximate entropy method.…”
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Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean by Tatiana Talipova, Efim Pelinovsky, Oxana Kurkina, Andrey Kurkin

“…The theoretical model is based on extended version of the Korteweg-de Vries equation which takes into account the effects of cubic nonlinearity and Earth rotation. This model is now very popular in the physical oceanography. …”
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Low Threshold, Wide Dynamic Range, Tunable, All-Optical Self-Modulator Based on Fano Resonance and Out-of-Plane Coupling in a Slab Photonic Crystal with a Graphene Layer by Reza Asadi, Zhengbiao Ouyang

“…We demonstrate an all-optical modulator based on self-modulation in a one-dimensional slab photonic crystal (PhC) by using optical Kerr nonlinearity of graphene and Fano resonance effect. It has been shown that the effect of Fano resonance in a one-dimensional slab PhC for intensity enhancement can provide low threshold (~1 MW/cm2), high frequency (>1 THz), and wide dynamic range (>3 THz) tunability for the all-optical self-modulator. …”
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A New Method for Predicting Residual Strength of Rock in Water Diversion Tunnel Using Drilling Process Monitoring by Wanfei Gao

“…The proposed model parameter, contact friction coefficient of rock, controls the nonlinearity of the peak strength and residual strength. …”
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Simulation and Experimental Analysis of Stiffness and Damping of the Waist Type Diaphragm Coupling by Hong Yun, Wang Dan, Nong Su, Zhu Rupeng, Chen Weifang

“…The dynamic model of the diaphragm coupling can be better established through the quasi elliptic function. The nonlinear stiffness and the equivalent damping coefficient changes in a period of the diaphragm vibration can be obtained.…”
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Finite Element Simulation Analysis of Aqueduct by Auxiliary Pier Reinforcement by TANG Yang, LIN Jinxia, XIONG Yan

“…With an aqueduct as the engineering background,this paper establishes a finite element model of spatial entity by auxiliary pier reinforcement,analyzes the force of each construction stage before and after the aqueduct reinforcement with consideration to the material nonlinearity of concrete,and compares and analyzes the influence of different jacking forces on the reinforcement effect.Through calculation and analysis,the following conclusions can be drawn:①The structural stress, deformation and crack width of the aqueduct can be significantly reduced by auxiliary pier reinforcement method.②The reinforcement effect can be enhanced with a suitable jacking force during aqueduct reinforcement.③When the jacking force is gradually increased from zero,the vertical displacement of the aqueduct after reinforcement is reduced first and then increased,the maximum principal tensile stress of the aqueduct after jacking and reinforcement also shows a trend of decreasing first and then increasing.④The jacking force should not be too large.Otherwise,the upper edge of the aqueduct will easily crack at the mid-span position and its adjacent position.Comparative calculation and analysis of the jacking force is required before reinforcement construction.…”
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