Comparing the Velocity Spectrum Caused by the Presence of Circular Urban Subway Tunnels With Free-Field Conditions by Hamed Fakhriyeh, Reza Vahdani, Mohsen Gerami

“…The findings indicate that the velocity spectrum diagram’s envelope for the tunnel crown is a nonlinear function of the soil–tunnel system’s period.…”
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Identification of Accounting Fraud Based on Support Vector Machine and Logistic Regression Model by Rongyuan Qin

“…However, more and more studies show that fraud has typical nonlinear characteristics, and the multiobjective of fraud means also determines the limitations of using the linear model for identification. …”
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Slope Deformation Prediction Based on IVDF-SVR Coupling Model by HOU Taiping, YANG Qiandong, LU Xuefeng, JIANG Lei, WU Anjie, HUANG Xiuyin

“…Given the shortcomings of improved variable-dimension fractal in the fitting and prediction of fractal dimensions,this paper proposes a fractal prediction model based on the coupling of the improved variable-dimension fractal (IVDF) theory and the support vector regression (SVR) machine theory,namely the IVDF-SVR coupling model.The model uses the SVR machine theory to fit and predict the fractal dimension sequence in the original improved variable-dimension fractal model.This paper takes the slope displacement monitoring data of Maoping Landslide as an example and selects the dimensioned segmented ln(r)-ln(S1) curve of the cumulative sum sequence as the fractal parameter curve of the prediction model.The IVDF model is utilized to calculate the segmented fractal dimension of each curve,and slope displacement is predicted.Then,the IVDF-SVR coupling model is used for another round of calculation and prediction.The prediction results show that the IVDF-SVR coupling model makes full use of the self-similarity in the fractal theory so that the prediction model has strong noise resistance.Moreover,by incorporating the self-learning ability in the SVR theory,it enables data fitting and prediction under small samples and nonlinear conditions.These advantages provide the proposed model with a favorable prediction length,high prediction accuracy,and ultimately a bright application prospect.…”
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Spectral Representation-Based Multidimensional Nonstationary Ground Motion Model for Seismic Reliability Analysis of Frame Structures by Lawali Moussa Laminou, Xinghua Chen

“…In the numerical analysis, the nonlinear seismic responses and reliability of a 10-story reinforced concrete frame structure are carefully investigated in accordance with the Egyptian seismic code. …”
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Financial Futures Prediction Using Fuzzy Rough Set and Synthetic Minority Oversampling Technique by Shangkun Deng, Yingke Zhu, Ruijie Liu, Wanyu Xu

“…Then, the FRS- (fuzzy rough set-) based method, as an efficient tool for analyzing complex and nonlinear information with high noise and uncertainty of financial time series, is adopted for the price change multiclassification of the CSI300 futures. …”
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A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Enc... by Janarthanan Ramadoss, Romanic Kengne, Dianorré Tokoue Ngatcha, Victor Kamdoum Tamba, Karthikeyan Rajagopal, Marceline Motchongom Tingue

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Selection of Machine Learning Models for Oil Price Forecasting: Based on the Dual Attributes of Oil by Lei Yan, Yuting Zhu, Haiyan Wang

“…In addition, the LLE-RNN/LSTM models can most successfully capture the nonlinear characteristics of crude oil prices. When the moving window size is twenty, that is, when crude oil price data are lagging by almost a month, each model can minimize its error, and the LLE-RNN /LSTM models have the best robustness.…”
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Rolling bearing fault diagnosis method based on gramian angular difference field and dynamic self-calibrated convolution module. by Chunli Liu, Jiarui Bai, Linlin Xue, Zhengkun Xue

“…First, the GADF method converts one-dimensional signals into GADF images to capture nonlinear relationships and periodic information in time-series data. …”
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Coupling Ratio-Based Design and Seismic Performance of Modular Prefabricated Hybrid Coupled Walls by Yun Shi, Yumin Zhang, Jianbo Dai, Guangyuan Weng

“…However, it also exhibits excellent ductility of the coupling beams, which is necessary for dissipating energy under infrequent earthquakes. Subsequently, nonlinear hysteretic analyses are conducted from finite element analysis software ABAQUS, and a parametric study based on the finite element technique is performed to identify the optimal value of the coupling ratio. …”
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Constructing the Fuzzy Hyperbola and Its Applications in Analytical Fuzzy Plane Geometry by Seçil Özekinci, Cansel Aycan

“…In addition, finding the membership of a given point to the fuzzy hyperbola is possible by solving nonlinear equations under different angular approaches. …”
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Richards equation for the assessment of landslide hazards by Ramesh Chandra Timsina

“…Numerous simulation models are widely used for modeling of water ow in porous media especially in unsaturated soils, among them Richards equation is the most important model. It is a highly nonlinear parabolic PDE with rare analytic solutions adopting particular cases occurring less accuracy. …”
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Existence and Globally Asymptotic Stability of Equilibrium Solution for Fractional-Order Hybrid BAM Neural Networks with Distributed Delays and Impulses by Hai Zhang, Renyu Ye, Jinde Cao, Ahmed Alsaedi

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Complexity: a new paradigm for fracture mechanics by S. Puzzi, A. Carpinteri

“…In fact, under the label of Complexity Sciences we comprehend a large variety of approaches: nonlinear dynamics, deterministic chaos theory, nonequilibrium thermodynamics, fractal geometry, intermediate asymptotics, complete and incomplete similarity, renormalization group theory, catastrophe theory, self-organized criticality, neural networks, cellular automata, fuzzy logic, etc. …”
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Effect of Aeroelastic Tailoring Design on Wing Mode by Yajuan He, Junli Wang, Jinyang Li, Bofeng Duan, Yang Zhou, Kangjie Wang

“…In this paper, in order to clarify the influence of structural parameters of laminates on the modal characteristics of high-aspect-ratio wings under prestress, the CFD/CSD coupling method was used to study the modal characteristics of nonlinear structures under the influence of layering angle, layering unbalanced coefficient, and layering reference direction. …”
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A Novel Numerical Technique for Fractional Ordinary Differential Equations with Proportional Delay by Muhammad Imran Liaqat, Adnan Khan, Ali Akgül, Md. Shajib Ali

“…The novel technique solves nonlinear problems without the need for He’s and Adomian polynomials, which is an advantage over the other combined methods based on homotopy perturbation and Adomian decomposition methods. …”
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Optimization of Molecularly Imprinted Polymer Method for Rapid Screening of 17β-Estradiol in Water by Fluorescence Quenching by Yu Yang, Edward P. C. Lai

“…The Stern-Volmer plot became nonlinear, with Ksv = 2.1 × 102 M-1 and static quenching constant (V) below 1.0 M-1. …”
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Behavior of Zr�1Nb alloy in coarse- and ultrafine-grain states under laser-induced shock wave loading by Dmitry Ledon, Aleksandr Balakhnin, Sergey Uvarov, Irina Bannikova, Yuriy Bayandin, Oleg Naimark

“…Numerical simulation of the process under study has been carried out using statistically based nonlinear model of solid with defects and finite element method to describe the deformation behavior and fracture of the material under shock-wave loading. …”
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Complexity Analysis on the Supply Chain of Brand Enterprise Countermeasures against Imitation Threats by Abudureheman Kadeer, Mingyu Zhao, Mengzhe Li

“…This paper studies the complexity of the decision system when a brand enterprise introduces new products and makes dynamic quality decisions to cope with imitation threats caused by a counterfeit enterprise. Using game theory, nonlinear system theory, and numerical simulation, the complexity characteristics of this system and consumer utility are further discussed; moreover, delay feedback control is used to restrain chaos. …”
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Effect of Variable Thermal Conductivity on the Generalized Thermoelasticity Problems in a Fiber-Reinforced Anisotropic Half-Space by Chun-Bao Xiong, Li-Na Yu, Yan-Bo Niu

“…The time-domain finite element method is applied to analyze the nonlinear problem and derives the governing equations. …”
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New PSO-SVM Short-Term Wind Power Forecasting Algorithm Based on the CEEMDAN Model by Hong You, Shixiong Bai, Rui Wang, Zhixiong Li, Shuchen Xiang, Feng Huang

“…In this paper, a short-term power forecasting model is established by using complete ensemble empirical mode decomposition adaptive noise (CEEMDAN) and nonlinear fitting characteristics of support vector machines (SVM) to accurately predict wind power. …”
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