Enhanced hunger games search algorithm that incorporates the marine predator optimization algorithm for optimal extraction of parameters in PEM fuel cells by Mohamed Issa, Mohamed Abd Elaziz, Sameh I. Selem

“…Abstract This article introduces a novel optimization approach to improve the parameter estimation of proton exchange membrane fuel cells (PEMFCs), which are critical for diverse applications but are challenging to model due to their nonlinear behavior. The proposed method, HGS-MPA, enhances the Hunger Games Search (HGS) algorithm by integrating Marine Predator Algorithm (MPA) operators, significantly boosting its exploitation capabilities and convergence rate. …”
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A linear filter regularization for POD-based reduced-order models of the quasi-geostrophic equations by Girfoglio, Michele, Quaini, Annalisa, Rozza, Gianluigi

“…Our regularization is based on the so-called BV-$\alpha $ model, which modifies the nonlinear term in the QGE and adds a linear differential filter for the vorticity. …”
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Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method by M Vaghefi, H Rahideh, MR Golbaher Haghighi, AK Manshad

“… This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation. Based on this approach, the total spatial and temporal domain is divided into a set of sub-domain and in each sub-domain, the DQ rule is employed to discretize the spatial and temporal domain derivatives. …”
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Crankshaft Wear Fault Detection Method for Welding Robot Reducer based on Belief Rule Base Inference by Xiaobing Wang, Xu Weng, Zhuangzhuang Zhao, Yu Hu, Tianzhen Wang, Xiaobin Xu, Jianning Li

“…Aiming at the nonlinear relationship between the welding machine servo motor torque signals and the RV （Rotate Vector） reducer crankshaft wear states， a wear fault detection method based on belief rule base inference （BRB） is designed. …”
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Projection-Based Adaptive Backstepping Control of a Transport Aircraft for Heavyweight Airdrop by Ri Liu, Xiuxia Sun, Wenhan Dong, Guangzhi Xu

“…An autopilot inner loop that combines backstepping control with adaptive function approximation is developed for airdrop operations. The complex nonlinear uncertainty of the aircraft-cargo model is factorized into a known matrix and an uncertainty function, and a projection-based adaptive approach is proposed to estimate this function. …”
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Fully Integrated Memristor and Its Application on the Scroll-Controllable Hyperchaotic System by Jie Jin, Li Cui

“…Based on the fully integrated memristor, a scroll-controllable hyperchaotic system is presented. By controlling the nonlinear function with programmable switches, the memristor-based hyperchaotic system achieves controllable scroll numbers. …”
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CMAIS-WOA: An Improved WOA with Chaotic Mapping and Adaptive Iterative Strategy by Chao-Hsien Hsieh, Qing Zhang, Ya Xu, Ziyi Wang

“…In addition, CMAIS-WOA uses an improved nonlinear convergence factor to adjust the breadth-first and depth-first search during the optimization process. …”
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Modeling of resonance of currents on higher harmonics with non-stationary mode of power supply system operation by D. V. Kovalenko, L. A. Faifer, B. Yu. Kiselyov, A. O. Shepelev, P. S. Smirnov, V. I. Surovtsev

“…The article describes the simulation of the current resonance that occurs in the power supply system when the degree of reactive power compensation is varied in non-stationary operation modes and the presence of electric receivers having a nonlinear voltagecurrent characteristic. In addition to simulating the mode of parallel resonance arising at frequencies close to the frequencies of higher harmonics, the proposed algorithm determines all possible resonance frequencies at which the parallel resonance condition under different assumptions can be satisfied, as well as the relative error of calculation for different cases: when all the components of complex impedances are taken into account; without taking into account the active components of the resistance; taking into account the active component of the resistance of the transformer, but not taking into account the resistance of the loads; without taking into account the active component of the resistance of the transformer and without taking into account the resistance of the loads. …”
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Dynamic Analysis of a Phytoplankton-Fish Model with Biological and Artificial Control by Yapei Wang, Min Zhao, Xinhong Pan, Chuanjun Dai

“…We investigate a nonlinear model of the interaction between phytoplankton and fish, which uses a pair of semicontinuous systems with biological and artificial control. …”
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Hybrid Optimal Kinematic Parameter Identification for an Industrial Robot Based on BPNN-PSO by Guanbin Gao, Fei Liu, Hongjun San, Xing Wu, Wen Wang

“…Then, the kinematic parameter identification of the industrial robot is transformed to a nonlinear optimization in which the unknown kinematic parameters are taken as optimal variables. …”
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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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Effects of chromophore interaction in photophysics and photochemistry of cyanine dyes by A. S. Tatikolov, Zh. A. Krasnaya, L. A. Shvedova, V. A. Kuzmin

“…The symmetric ketocyanines were shown to have a long-wavelength absorption band bathochromically shifted in comparison with that of the asymmetric ketocyanines with the same total length of the polyenic chain. The nonlinear ketocyanines exhibit the additional short-wavelength band in their absorption spectra, which can be more intense than the longwavelength band. …”
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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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Trajectory Planning of Crossed Roller Bearing Automatic Assembly Robotic Arms Based on the Improved Gray Wolf Optimizer by Hu Jiangtao, Dang Yugong, Zhou Zhigang, Zhang Yupeng

“…The linear control factor of the algorithm was replaced with a nonlinear control factor, and the algorithm was combined with the beetle antennae search (BAS) algorithm. …”
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Reconstructing a Helical Magnetic Field in the Solar Corona using Lagrange Multiplier Technique by Nasim IldarTanha, Sadollah Nasiri

“…We aim to reconstruct a nonlinear force-free magnetic field by minimizing the global departure of an initial field from a force-free and solenoidal state in the presence of helicity to obtain an appropriate representation of the magnetic field compatible with the solar coronal condition. …”
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Exploring homotopy with hyperspherical tracking to find complex roots with application to electrical circuits by Sandoval-Hernandez Mario A., Jimenez-Islas Hugo, Vazquez-Leal Hector, Quemada-Villagómez Miriam L., Lopez-Gonzalez María de la Luz

“…In the field of applied sciences, systems are frequently modeled using mathematical frameworks that include systems of nonlinear algebraic equations. Identifying their roots, whether real or complex, is of critical importance. …”
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Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body by Xiaogao Li, Ning Zhang, Xianjian Jin, Nan Chen

“…According to the eigenvalue loci of system’s Jacobian matrix plotted on the complex plane, the Hopf bifurcation characteristics of nonlinear shimmy are studied and the conditions for the generation of limit cycle are analyzed. …”
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An Improved Shock Factor to Evaluate the Shock Environment of Small-Sized Structures Subjected to Underwater Explosion by Wenzheng Zhang, Weikang Jiang

“…The coupled mode method is applied to study the scattering field surrounding the cylindrical shells. A nonlinear relation differential is derived from the impact received by the cylindrical shells and the ratio between the diameters of the shells and the wavelength of the incident wave. …”
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Tailoring coherent beam combined laser pulse trains for high peak and average power applications by Claude-Alban Ranély-Vergé-Dépré, Corentin Lechevalier, Jordan Andrieu, Ihsan Fsaifes, Igor Jovanovic, Jean-Christophe Chanteloup

“…We address the task of independent peak versus average power adjustment needed for applications seeking to decouple nonlinear phenomena associated with GW peak power from the thermal load inherent to kW average power operation. …”
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A Novel and Efficient Iterative Approach to Approximating Solutions of Fractional Differential Equations by Doaa Filali, Nidal H. E. Eljaneid, Adel Alatawi, Esmail Alshaban, Montaser Saudi Ali, Faizan Ahmad Khan

“…This study presents a novel and efficient iterative approach to approximating the fixed points of contraction mappings in Banach spaces, specifically approximating the solutions of nonlinear fractional differential equations of the Caputo type. …”
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