Modeling, Testing, and Characteristic Analysis of a Planetary Flywheel Inerter by Zheng Ge, Weirui Wang

“…According to the structure of the planetary flywheel inerter, nonlinear factors of the inerter are analyzed, and a nonlinear dynamical model of the inerter is established. …”
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Model Modification of the Mill Transmission System Based on the PSO-BP Neural Network by Tao Zheng, Bao Xianle, Guo Qintao, Zhou Tianyang

“…Aiming at the complexity of the mill transmission system structure, the uncertainty of the constraint conditions among the components and the nonlinearity, a finite element model correction method based on the PSO-BP neural network is proposed in this study. …”
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Modelling Moisture Sorption Isotherms of Superabsorbent Polymer Fabric for Desiccant Drying of Crops by Peter Kang’ethe Kimani, Ayub Njoroge Gitau, Duncan Onyango Mbuge, Januarius Ondiek Agullo

“…Using symbolic regression and nonlinear regression in R software, four mathematical models were obtained. …”
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Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique by Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh

“…The main aim of this work is to present the analytical approximate series for the nonlinear Caputo fractional KdV-Burgers equation by applying the Laplace residual power series method. …”
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Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications by Hemant Kumar Nashine, Sourav Shil, Hiranmoy Garai, Lakshmi Kanta Dey, Vahid Parvaneh

“…Finally, we provide a nontrivial example to validate the sufficient conditions for nonlinear matrix equations with numerical approximations.…”
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Designing of Neuro-Fuzzy Controllers for Brushless DC Motor Drives Operating with Multiswitch Three-Phase Topology by Ch. Vinay Kumar, G. Madhusudhana Rao, A. Raghu Ram, Y. Prasanna Kumar

“…It has a facility for its multivariable system, nonlinear control process, and powerful coupling system. …”
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Discrete Approaches to Continuous Boundary Value Problems: Existence and Convergence of Solutions by Douglas R. Anderson, Christopher C. Tisdell

“…Firstly, we study BVPs that involve nonlinear difference equations (the “discrete” BVP); and secondly, we study BVPs involving nonlinear ordinary differential equations (the “continuous” BVP). …”
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Aeroservoelastic Pitch Control of Stall-Induced Flap/Lag Flutter of Wind Turbine Blade Section by Tingrui Liu

“…The aeroelastic governing equations combine a flap/lag structural model and an unsteady nonlinear aerodynamic model. The nonlinear resulting equations are linearized by small perturbation about the equilibrium point. …”
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State Identification of ECS Turbine Bearing Based on Fractal Dimension by Chenchen Li, Qingpeng Han, Rui Zhu, Qingyu Zhu

“…The experimental result shows that the correlation dimension, as nonlinear geometric invariants, can be used as the characteristic quantity of ECS turbine bearing on running state. …”
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Deficit fear as a modulator of disbelief in the framework of self-perception among students at the stage of self-isolation by M. M. Basimov

“…In addition, three graphs of the dependencies of the indicator of the actual self–perception “Unbeliever – believer” on three indicators of fear (constructive, deficit and destructive) are clearly analyzed, when all the connections within the correlation analysis are extremely weak, but with a nonlinear approach, one of the three dependencies is strong as the simplest nonlinear.…”
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PREDICTION AND OPTIMIZATION ANALYSIS OF DURABILITY PERFORMANCE OF AUTOMOTIVE CLOSURES by GUO PengBo, LIU Zhe, LI Hui, GAO DaWei

“…Aiming at the fatigue failure problem of a car door opening and closing process.The Hypermesh was used to construct a finite element model of door opening and closing,and then Ls⁃Dyna,an explicit dynamics solver,was used to establish a nonlinear transient dynamics model of door opening and closing.The d3plot file containing the stress⁃time history solved by the nonlinear transient analysis was imported into nCode DesignLife to build the fatigue analysis module,and the results were verified with 100000 times of door opening and closing durability tests,and the conclusions show that both of them have good consistency in terms of the damage location and the damage degree.Finally,multi⁃particle swarm optimization(MPSO)was used to optimize the door with the objectives of door lightweight and minimum damage,and the optimal solution was selected according to the engineering reality,which reduced the mass of the door assembly by 0.17 kg,and the damage value of the door was reduced by about 24.33%.The optimization results show that the MPSO algorithm can be effectively applied to the multi⁃objective optimization design of the door,which provides certain ideas for the design and development of the subsequent door.…”
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Damping Energy Dissipation and Parameter Identification of the Bellows Structure Covered with Elastic-Porous Metal Rubber by Guojian Shen, Min Li, Xin Xue

“…Second, the conspicuous hysteresis loop characteristics were described while the nonlinear constitutive relation was analytically modelled based on the exact decomposition method. …”
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Modeling and Simulation of Control Actuation System with Fuzzy-PID Logic Controlled Brushless Motor Drives for Missiles Glider Applications by Murali Muniraj, Ramaswamy Arulmozhiyal

“…The proposed system will realize better rise time and less overshoot while operating in extreme nonlinear dynamic system conditions. A mathematical model of BLDC motor is derived in state space form. …”
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Classification of Layers Using Artificial Neural Networks in the Province of Kurdistan (Iran) by Semko Arefpanah, Alireza Sharafi, Alireza Gholamian

“…Neural networks are particularly useful in civil engineering, particularly in geotechnical problems, where soil heterogeneity and nonlinear behavior significantly impact geotechnical phenomena. …”
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A Numerical Study on the Progressive Failure of 3D Four-Directional Braided Composites by Kun Xu

“…The longitudinal shear nonlinearity of braiding yarn is considered in the model. …”
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The Plastic Glial-Synaptic Dynamics within the Neuropil: A Self-Organizing System Composed of Polyelectrolytes in Phase Transition by Vera Maura Fernandes de Lima, Alfredo Pereira

“…We review experimental results addressing plastic nonlinear interactions between glial membranes and synaptic terminals. …”
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The Multivariate Fusion Distribution Characteristics in Physician Demand Prediction by Jiazhen Zhang, Wei Chen, Xiulai Wang

“…The model incorporates multi-head attention mechanisms and generates statistical information, which significantly improves the ability to process nonlinear data, adapt to different data sources, improve the computational efficiency, and process high-dimensional features. …”
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New Bifurcation Critical Criterion of Flip-Neimark-Sacker Bifurcations for Two-Parameterized Family of n-Dimensional Discrete Systems by Shengji Yao

“…The criterion is built on the properties of coefficients of characteristic equations instead of the properties of eigenvalues of Jacobian matrix of nonlinear system, which is formulated using a set of simple equalities and inequalities consisting of the coefficients of characteristic polynomial equation. …”
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First and Second Integrals of Hopf–Langford-Type Systems by Vassil M. Vassilev, Svetoslav G. Nikolov

“…The work examines a seven-parameter, three-dimensional, autonomous, cubic nonlinear differential system. This system extends and generalizes the previously studied quadratic nonlinear Hopf–Langford-type systems. …”
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Model-Corrected Microwave Imaging through Periodic Wall Structures by Paul C. Chang, Robert J. Burkholder, John L. Volakis

“…A linear back-projection solution and a nonlinear minimization solution are applied to solve the inverse problem. …”
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