A dual-stream model based on PRNU and quaternion RGB for detecting fake faces. by Mohan Hua, Shuangliang Li, Jinwei Wang

“…The quaternion RGB stream leverages the inherent nonlinear properties of quaternions and their informative representation capabilities to accurately describe changes in image color, background, and spatial structure, facilitating the meticulous capture of nuanced local distinctions between locally manipulated faces and real faces. …”
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A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics by Rafael J. Villanueva, Abraham J. Arenas, Gilberto González-Parra

“…This interacting population model represented as a system of coupled nonlinear ordinary differential equations is used to analyze, understand, and predict the dynamics of obesity populations. …”
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Particle Filtering for Obstacle Tracking in UAS Sense and Avoid Applications by Anna Elena Tirri, Giancarmine Fasano, Domenico Accardo, Antonio Moccia

“…Since assessed methodologies can cause some loss of accuracy due to nonlinearities, advanced filtering methodologies, such as particle filters, can provide more accurate estimates of the target state in case of nonlinear problems, thus improving system performance in terms of collision risk estimation. …”
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A Study on the Dynamic Performance for Hydraulically Damped Rubber Bushings with Multiple Inertia Tracks and Orifices: Parameter Identification and Modeling by Chao-Feng Yang, Zhi-Hong Yin, Wen-Bin Shangguan, Xiao-Cheng Duan

“…Compared with the results predicted by a nonlinear lumped parameter model whose parameters are extracted by a parameter identification technique, using the model, the effect of the main rubber and the fluid track on the dynamic stiffness and the loss angle is investigated. …”
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Mobile Target Tracking Based on Hybrid Open-Loop Monocular Vision Motion Control Strategy by Cao Yuan, Ma Lianchuan, Weigang Ma

“…Due to the properties of the particle filter, the method can effectively master the motion behaviors of the linear and nonlinear. In addition, the method uses the simple mathematical operation to transfer the image information in the mobile target to its real coordinate information. …”
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Analysis of Model Parameters for a Polymer Filtration Simulator by N. Brackett-Rozinsky, S. Mondal, K. R. Fowler, E. W. Jenkins

“…The simulator is a three-dimensional, time-dependent discretization of a coupled system of nonlinear partial differential equations used to model fluid flow and debris transport, along with statistical relationships that define debris distributions and retention probabilities. …”
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Modelling of size and shape of damage zone in quasi-brittle notched specimens – analytical approach based on fracture-mechanical evaluation of loading curves by J. Klon, V. Veselý

“…A method of separation of the energy amounts released for the propagation of the (effective) crack and that dissipated within the volume of a large nonlinear zone at the crack tip – the fracture process zone – is introduced and tested on selected data from experimental campaigns published in the literature. …”
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Design of a Robust Coordinated Power Oscillation Damper for Use with Large-Scale Wind Energy System Connected to a Multimachine Power System by Paul Kabiru, Keren Kaberere, Stanley Kamau

“…Probabilistic analysis established on Monte Carlo simulation is then carried out to prove the robustness of the coordinated design strategy under diverse operating conditions. Nonlinear time-domain simulations are used to verify the damping performance and robustness of the proposed strategy under different operating scenarios.…”
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Experimental characterisation of fatigue crack growth based on the CTOD measured from crack tip displacement fields using DIC by J.M. Vasco-Olmo, F.A. D�az, F.V. Antunes, M.N. James

“…The plastic CTOD was found to be directly related to the nonlinear zone (i.e., plastic deformation) generated at the crack tip during fatigue propagation. …”
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New Aspects in the Mechanical Behavior of a Polycarbonate Found by an Experimental Study by Alfredo Alán Rey Calderón, Alberto Díaz Díaz

“…The newest finding is that a nonlinear master transverse strain/axial strain curve matches perfectly with the experimental curves. …”
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Simulation and Prediction of Ion Transport in the Reclamation of Sodic Soils with Gypsum Based on the Support Vector Machine by Jinman Wang, Zhongke Bai, Peiling Yang

“…The effect of gypsum on the physical and chemical characteristics of sodic soils is nonlinear and controlled by multiple factors. The support vector machine (SVM) is able to solve practical problems such as small samples, nonlinearity, high dimensions, and local minima points. …”
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Crumbling of Amatrice clock tower during 2016 Central Italy seismic sequence: Advanced numerical insights by Francesco Clementi, Gabriele Milani, Angela Ferrante, Marco Valente, Stefano Lenci

“…Afterward, different values have been assigned to the friction coefficient of the models and real seismic shocks have been applied in the nonlinear analyses. The major purpose of this study is to highlight that relevant data on the real structural behaviour of historical masonry can be provided through advanced numerical analyses. …”
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A fault tolerant control for iced aircraft based on fixed-time incremental dynamic inversion with FTESO by JIANG Feihong, LIU Xiaoxiong, LIU Zhenbao, LI Yu, CHEN Jiaxin

“…To address this problem, in this paper a fixed-time incremental nonlinear dynamic inversion(INDI) control method based on a fixed-time dilated state observer(FTESO) is proposed, and a flight controller for a certain type of transport aircraft is designed based on this method, which is used to enhance the flight control capability under icing conditions, and thus improve the flight safety. …”
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Synchronous Stability of Four Homodromy Vibrators in a Vibrating System with Double Resonant Types by Xueliang Zhang, Chao Li, Zhihui Wang, Shiju Cui

“…It is shown that the phase differences among four vibrators in the subresonant state are stabilized about zero, and exciting forces of four vibrators are positively superposed, while in the superresonant one, the phenomenon of the diversity of the nonlinear system occurs, i.e., two groups of synchronous and stable solutions of the phase differences (pi and pi/2) are found, and in this case, the exciting forces of four vibrators are counteracted, the rigid frame embodies no vibration, and the minimum of dynamic load transferring to foundation is realized. …”
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Differentiated Toll Optimization on Goods Vehicles Based on Prediction of Demand for Large-Scale Network by Hua Zhao, Zifeng Peng, Zhihong Li, Weiting Yao

“…At the bottom of the algorithm is an analytical model composed of nonlinear equations whose dimensions scale linearly with the scale of the road network. …”
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On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow by Raja Mehmood Khan, Waqas Ashraf, Muhammad Sohail, Shao-Wen Yao, Wael Al-Kouz

“…The flow is modeled by a set of PDEs which are transformed to a nonlinear system of ODEs by employing boundary layer transformations. …”
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Settlement of piles with negative skin friction: design approaches according to part 3 of Eurocode 7 by Alena Zemanová, Vojtěch Anderle, Jan Masopust

“…For examples presented, the introduced practical approach, also suitable for manual calculations, is in very good agreement with a refined calculation providing a nonlinear load-settlement curve. …”
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Signal Feature Extraction and Quantitative Evaluation of Metal Magnetic Memory Testing for Oil Well Casing Based on Data Preprocessing Technique by Zhilin Liu, Lutao Liu, Jun Zhang

“…In the meantime, characteristic parameters in new diagnostic approach are put forward to ensure the reliable determination of casing danger level through least squares support vector machine (LS-SVM) and nonlinear quantitative mapping relationship. The effectiveness and feasibility of this method are verified through experiments.…”
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Prediction and design optimization of mechanical properties for rubber fertilizer hose reinforced with helically wrapped nylon by Mengfan Wang, Lixin Zhang, Changxin Fu

“…Results showed CPO-GRNN's superiority in handling complex nonlinear problems. Finally, the Non-dominated Sorting Genetic Algorithm II (NSGA-II) was employed for optimization design. …”
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Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method by Mubashir Qayyum, Imbsat Oscar

“…The least squares homotopy perturbation method (LSHPM) has been proposed to determine the solutions of nonlinear boundary value problems. To check the validity and convergence of the proposed scheme (LSHPM), the modeled problems are also solved with the Fehlberg–Runge–Kutta method (RKF45) and homotopy perturbation method (HPM) and residual errors are compared with LSHPM. …”
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