Design of SVC Controller Based on Improved Biogeography-Based Optimization Algorithm by Feifei Dong, Dichen Liu, Jun Wu, Bingcheng Cen, Haolei Wang, Chunli Song, Lina Ke

“…Considering that common subsynchronous resonance controllers cannot adapt to the characteristics of the time-varying and nonlinear behavior of a power system, the cosine migration model, the improved migration operator, and the mutative scale of chaos and Cauchy mutation strategy are introduced into an improved biogeography-based optimization (IBBO) algorithm in order to design an optimal subsynchronous damping controller based on the mechanism of suppressing SSR by static var compensator (SVC). …”
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Distributed H∞ Control of AVs Interacting by Uncertain and Switching Topology in a Platoon by Feng Gao, Dongfang Dang, Qiuxia Hu, Yingdong He

“…After compensating for the powertrain nonlinearities, we model the node dynamics as a linear uncertain system. …”
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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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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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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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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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Shape Sensing of Plate and Shell Structures Undergoing Large Displacements Using the Inverse Finite Element Method by Alexander Tessler, Rinto Roy, Marco Esposito, Cecilia Surace, Marco Gherlone

“…The incremental iFEM procedure is demonstrated to be sufficiently accurate in terms of reproducing the correct nonlinear character of the load-displacement curve even when a reduced number of strain sensors is used. …”
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Rate-Dependent Hysteresis Model Based on LS-SVM for Magnetic Shape Memory Alloy Actuator by Mengyao Wang, Zhenze Liu, Yewei Yu, Xiaoning Yang, Wei Gao

“…In addition, with the powerful nonlinear fitting capability and good generalization of LS-SVM, the dynamic performance of the proposed model is effectively improved. …”
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Deterministic and Stochastic Study for an Infected Computer Network Model Powered by a System of Antivirus Programs by Youness El Ansari, Ali El Myr, Lahcen Omari

“…We investigate the various conditions that control the extinction and stability of a nonlinear mathematical spread model with stochastic perturbations. …”
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Heat and Mass Transfer Enhancement of MHD Hybrid Nanofluid Flow in the Presence of Activation Energy by M. Shanmugapriya, R. Sundareswaran, P. Senthil Kumar

“…The mathematical structure regarding the physical model for hybrid nanofluid is established and then the similarity variables are induced to transmute the leading PDEs into nonlinear ODEs. These equations were solved using the shooting technique together with RKF 4-5th order for various values of the governing parameters numerically. …”
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