A Novel Method for Economic Dispatch with Across Neighborhood Search: A Case Study in a Provincial Power Grid, China by Guojiang Xiong, Jing Zhang, Xufeng Yuan, Dongyuan Shi, Yu He, Yao Yao, Gonggui Chen

“…It is mathematically a typical complex nonlinear multivariable strongly coupled optimization problem with equality and inequality constraints, especially considering the valve-point effects. …”
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Prediction of Punching Capacity of Slab-Column Connections without Transverse Reinforcement Based on a Backpropagation Neural Network by Jie Bu, FanZhen Zhang, Meng Zhu, Zhiyang He, Qigao Hu

“…Then, based on the Levenberg–Marquardt (LM) algorithm and using the nonlinear function of the backpropagation neural network (BPNN), a prediction model of the punching capacity of slab-column connections without transverse reinforcement is established. …”
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Multistep photovoltaic power forecasting based on multi-timescale fluctuation aggregation attention mechanism and contrastive learning by Liang Yuan, Xiangting Wang, Yao Sun, Xubin Liu, Zhao Yang Dong

“…This mechanism enhances the segmentation and extraction of nonlinear correlations between PV power outputs and meteorological factors, assigning variable weights to patterns of change across different time scales. …”
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Vehicle Routing Problem with Soft Time Windows Based on Improved Genetic Algorithm for Fruits and Vegetables Distribution by Peiqing Li, Jie He, Dunyong Zheng, Yongsheng Huang, Chenhao Fan

“…Fresh fruits and vegetables, perishable by nature, are subject to additional deterioration and bruising in the distribution process due to vibration and shock caused by road irregularities. A nonlinear mathematical model was developed that considered not only the vehicle routing problem with time windows but also the effect of road irregularities on the bruising of fresh fruits and vegetables. …”
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AUXIN DISTRIBUTION IN A TRANSVERSE ROOT SECTION by E. S. Novoselova, V. V. Mironova, T. M. Khlebodarova, V. A. Likhoshvai

“…It is shown that the nonlinear processes of auxin transport regulation are responsible for the formation of asymmetric auxin distributions, which may be interpreted as the positional information for development of the diarch structure of the vascular cylinder. …”
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Neural Network Based Active Disturbance Rejection Control of a Novel Electrohydraulic Servo System for Simultaneously Balancing and Positioning by Isoactuation Configuration by Qiang Gao, Yuanlong Hou, Kang Li, Zhan Sun, Chao Wang, Runmin Hou

“…In the NNADRC, the radial basis function (RBF) neural network is employed for online updating of parameters of the extended state observer (ESO). Thereby, the nonlinear behavior and external disturbance of the system can be accurately estimated and compensated in real time. …”
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Exposing hidden periodic orbits in scanning force microscopy by Lukas Böttcher, Hannes Wallner, Niklas Kruse, Wolfram Just, Ingo Barke, Jens Starke, Sylvia Speller

“…Abstract The nonlinear interaction between the tip of a scanning probe microscope (SPM) and a sample is manifested in the emergence of bifurcations and unstable branches in the frequency response of a driven cantilever. …”
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Output Feedback Fractional-Order Nonsingular Terminal Sliding Mode Control of Underwater Remotely Operated Vehicles by Yaoyao Wang, Jiawang Chen, Linyi Gu

“…Finally, it is noteworthy that the proposed output feedback FO-NTSMC technique can be used to control a broad range of nonlinear second-order dynamical systems in finite time.…”
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Shortest-Way: An Improved Empirical Transition Method for Signal Coordination by Mingming Zheng, Hongfeng Xu, Kun Zhang, Ronghan Yao

“…The problem of cycle length distribution is formulated as a nonlinear integer programming problem, aiming at minimizing the sum of the squares of the intersection offset deviations of all the transition cycles. …”
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The Existence of Positive Solutions for Boundary Value Problem of the Fractional Sturm-Liouville Functional Differential Equation by Yanan Li, Shurong Sun, Zhenlai Han, Hongling Lu

“…We study boundary value problems for the following nonlinear fractional Sturm-Liouville functional differential equations involving the Caputo fractional derivative:   CDβ(p(t)CDαu(t)) + f(t,u(t-τ),u(t+θ))=0, t∈(0,1),  CDαu(0)= CDαu(1)=( CDαu(0))=0, au(t)-bu′(t)=η(t), t∈[-τ,0], cu(t)+du′(t)=ξ(t), t∈[1,1+θ], where   CDα,  CDβ denote the Caputo fractional derivatives, f is a nonnegative continuous functional defined on C([-τ,1+θ],ℝ), 1<α≤2, 2<β≤3, 0<τ, θ<1/4 are suitably small, a,b,c,d>0, and η∈C([-τ,0],[0,∞)), ξ∈C([1,1+θ],[0,∞)). …”
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Melatonin in Tuberous Sclerosis Complex Analysis Using Modern Mathematical Modeling Methods by Justyna Paprocka, Marek Kijonka, Łukasz Boguszewicz, Maria Sokół

“…To describe the diurnal melatonin secretion, mathematical model was constructed and nonlinear least squares method with the Levenberg-Marquardt optimization algorithm was applied to approximate its parameters. …”
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Study on Seepage Simulation of High Pressure Grouting in Microfractured Rock Mass by Kai Wang, Lianguo Wang, Bo Ren, Hao Fan

“…The grouting pressure and the fracture opening changes are nonlinearly attenuated along the grout seepage direction.…”
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Chaotic Motions in the Real Fuzzy Electronic Circuits by Shih-Yu Li, Cheng-Hsiung Yang, Chin-Teng Lin, Li-Wei Ko, Tien-Ting Chiu

“…Consequently, generating chaotic signals on electronic circuit to produce real electrical signals applied to secure communications is an exceedingly important issue. However, nonlinear systems are always composed of many complex equations and are hard to realize on electronic circuits. …”
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Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case by Vladimir Levin, Ignatiy Vdovichenko, Anatoly Vershinin, Maksim Yakovlev, Konstantin Zingerman

“…The obtained results allow one to estimate the influence of nonlinear effects upon the mechanical properties of the composite.…”
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Recovery of Lost Target Using Target Tracking in Event Driven Clustered Wireless Sensor Network by Shailaja Patil, Ashish Gupta, Mukesh Zaveri

“…We have conducted exhaustive simulations for recovery of the lost target and presented the analysis of how the recovery gets affected with linear and nonlinear filters. From the simulation results and energy analysis, it is evident that the proposed recovery algorithm outperforms the existing work in the literature.…”
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Instability Condition Derivation for Hydraulic AGC System under Pressure Closed-Loop Control by Yong Zhu, Guangpeng Li, Shengnan Tang, Wanlu Jiang, Pengfei Qian, Zhi Zheng, Zhijian Zheng

“…Nevertheless, there is some difficulty in exploring the instability mechanism of the HAGC system due to the fact that the PCL is a representative nonlinear closed-loop control system. In this work, for each component of the HAGC system, the mathematical model was established. …”
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Modelling of High-Velocity Impact on Woven Carbon Fibre-Reinforced Plastic Laminate by Nenad Djordjevic, Rade Vignjevic, Kevin Hughes, Tom De Vuyst

“…The constitutive model was implemented into Lawrence Livermore National Laboratory (LLNL) DYNA3D nonlinear hydrocode. Simulation results were validated against post-impact experimental data of spherical projectile impact on an aerospace-grade woven CFRP composite panel. …”
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A generalized diffusion model for remaining useful life prediction with uncertainty by Bincheng Wen, Xin Zhao, Xilang Tang, Mingqing Xiao, Haizhen Zhu, Jianfeng Li

“…KF-EM-RTS can adaptively estimate and update unknown parameters, overcoming the limits of strong Markovian nature of diffusion model. Linear and nonlinear degradation datasets from real working environments are used to validate the proposed model. …”
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Comparative Analysis of Neural-Network and Fuzzy Auto-Tuning Sliding Mode Controls for Overhead Cranes under Payload and Cable Variations by Muhammad A. Shehu, Ai-jun Li, Bing Huang, Yu Wang, Bojian Liu

“…Thus, a high-quality control is required. In this work, the nonlinear model of the overhead crane was established and the sliding mode control (SMC) was proposed that ensured the existence of sliding motion in the presence of payload and hoisting height variations, and viscous frictions. …”
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A physiologically-based pharmacokinetic model for the antibiotic ertapenem by Michele L. Joyner, Cammey C. Manning, Whitney Forbes, Michelle Maiden, Ariel N. Nikas

“…Furthermore, ertapenem is highly bound in human blood plasma; therefore, nonlinear binding is incorporated in the model since only the free portion of the drug can saturate tissues and, hence, is the only portion of the drug considered to be medicinally effective. …”
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