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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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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An Improved Differential Evolution Solution for Software Project Scheduling Problem by A. C. Biju, T. Aruldoss Albert Victoire, Kumaresan Mohanasundaram

“…It is also capable of handling nondifferentiable, nonlinear, and multimodal objective functions like SPSP. …”
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Circular thin plates buckling analysis with HRPIM method by Baid Sokayna, Hilali Youssef, Mesmoudi Saïd, Bourihane Oussama

“…This paper aims to introduce a new approach to simulate geometrically nonlinear problems that require shape functions with higher order continuity such as the buckling analysis of circular thin and thick plates based on two theories; Classical plate theory (CPT) and Third order Shear Deformation Theory (TSDT). …”
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Characterization of Soil Enhancement Mixtures at Low-Magnitude Currents by Fazlul Aman, Usman Muhammad, Normiza Mohamad Nor, Haziah Hamid

“…It was found that dry sand–EM mixtures can be represented by an R-C parallel circuit, while wet sand–EM mixtures can be represented by a nonlinear R. These new test data providing the soil resistivity and permittivity of various sand–EM mixtures are important in selecting suitable EMs to be used in grounding systems.…”
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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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Deadbeat Control of a Modified Single-Phase Five-Level Photovoltaic Inverter with Reduced Number of Switches by Mohsen Ghorbanali Afjeh, Mojtaba Babaei, Mohsen Alizadeh Bidgoli, Amir Ahmarinejad

“…This closed-loop inverter is implemented in TMS320f28335 digital signal controller to evaluate the performance of the proposed inverter under nonlinear and linear loads. Simulation and laboratory prototype results show that IEC 62040-3 harmonic constraints is met for the proposed photovoltaic inverter in standalone applications.…”
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Stability Analysis of Regular and Chaotic Ca2+ Oscillations in Astrocytes by Min Ye, Hongkun Zuo

“…Then, we investigate the effectiveness and the accuracy of our nonlinear dynamical mechanism analysis via computer simulations. …”
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Abundant Coexisting Multiple Attractors’ Behaviors in Three-Dimensional Sine Chaotic System by Huagan Wu, Han Bao, Quan Xu, Mo Chen

“…This paper presents a novel and simple three-dimensional (3-D) chaotic system by introducing two sine nonlinearities into a simple 3-D linear dynamical system. …”
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Global Dynamics of Secondary DENV Infection with Diffusion by A. M. Elaiw, A. S. Alofi

“…The model includes five nonlinear PDEs describing the interaction among the target cells, DENV-infected cells, DENV particles, heterologous antibodies, and homologous antibodies. …”
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Meteorological Data-Based Optimal Control Strategy for Microalgae Cultivation in Open Pond Systems by Riccardo De-Luca, Fabrizio Bezzo, Quentin Béchet, Olivier Bernard

“…Controlling and optimizing such a nonlinear process strongly influenced by weather conditions is therefore tricky, but it is crucial to make this process economically sustainable. …”
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Exploring the solutions of tempered (κ,ϖ)-Hilfer hybrid implicit boundary value problem by Abdelkrim Salim, Sabri T.M. Thabet, Ava Sh. Rafeeq, Mohammad Esmael Samei, Imed Kedim, Miguel Vivas-Cortez

“…Our study leverages the properties of tempered (κ,ϖ)-Hilfer fractional operators to explore the mathematical underpinnings of the problem, which is characterized by implicit nonlinear fractional differential equations. To derive the results, we employ Banach’s fixed point theorem, which facilitates the demonstration of the existence of solutions under certain contractive conditions. …”
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Fault Feature Extraction and Diagnosis of Gearbox Based on EEMD and Deep Briefs Network by Kai Chen, Xin-Cong Zhou, Jun-Qiang Fang, Peng-fei Zheng, Jun Wang

“…A gear transmission system is a complex nonstationary and nonlinear time-varying coupling system. When faults occur on gear system, it is difficult to extract the fault feature. …”
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Computational Studies on the Molecule 1-(2-Hydroxyethyl)-5-Fluorouracil in Gas Phase and Aqueous Solution and Prediction of Its Confinement inside Capped Nanotubes by Y. Tadjouteu Assatse, G. W. Ejuh, F. Tchoffo, J. M. B. Ndjaka

“…The large Eg values found suggest a good stability for the studied molecule. The predicted nonlinear optical (NLO) properties of the studied molecule are much greater than those of urea. …”
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Fuzzy Networked Control Systems Design Considering Scheduling Restrictions by H. Benítez-Pérez, A. Benítez-Pérez, J. Ortega-Arjona, O. Esquivel-Flores

“…The related control law is designed considering fuzzy logic approximation for nonlinear time delays coupling, where the main advantage is the integration of this behavior through extended state space representation keeping certain linear and bounded behavior and leading to a stable situation during events presentation by guaranteeing stability through Lyapunov.…”
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A modified scheme to the multiple shooting method for BVPs by Samad Kheybari, Mohammad Taghi Darvishi, Farzaneh Alizadeh, Salah Mahmoud Boulaaras, Kamyar Hosseini

“…The effectiveness of the proposed method is demonstrated through various test problems, including a ninth-order linear problem, a tenth-order nonlinear problem, and several stiff problems, with results showing superior performance compared to the standard shooting method and the modified decomposition method. …”
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Fuzzy self-tuning fractional order PD permanent magnet synchronous motor speed control based on torque compensation by Dejun Liu, Junjie Han, Guangda Chen, Yanming Cheng, Xinyue Liang, Chao Song

“…Abstract The permanent magnet synchronous motor control system is characterized by its nonlinear and strongly coupled complexity, presenting significant challenges for control performance optimization. …”
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High-Q Resonances Induced by Toroidal Dipole Bound States in the Continuum in Terahertz Metasurfaces by Lincheng Guo, Yachen Gao

“…Owing to their high-quality factor characteristics, BICs are extensively employed in nonlinear harmonic generators and sensors. Here, the influence of structural parameters on radiation modes has been systematically analyzed using band theory; the mechanisms of quasi-BIC mode and BIC mode were also analyzed through multipole decomposition of scattered power and near-field distribution. …”
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Innovative soliton solutions for a (2+1)-dimensional generalized KdV equation using two effective approaches by Ibrahim Alraddadi, Faisal Alsharif, Sandeep Malik, Hijaz Ahmad, Taha Radwan, Karim K. Ahmed

“…This detailed examination demonstrates the complex behavior of the model and its capability to explain a large scale of nonlinear wave occurrences in many physical settings. …”
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Numerical Simulation Study of Progressive Collapse of Reinforced Concrete Frames with Masonry Infill Walls under Blast Loading by Qinghu Xu, Xuezhi Zhen, Yu Zhang, Mengjun Han, Wenkang Zhang

“…The influence of masonry infill walls on the progressive collapse performance of reinforced concrete (RC) frame structures was investigated in this paper, using a nonlinear dynamic analysis approach. Based on ANSYS/LS-DYNA finite element software, two finite element models of RC frame structures with and without masonry infilled walls were established. …”
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