Dynamic Model of Spur Gear Pair with Modulation Internal Excitation by Zhong Wang, Lei Zhang, Yuan-Qing Luo, Chang-Zheng Chen

“…In the actual measurements, vibration and noise spectrum of gear pair often exhibits sidebands around the gear mesh harmonic orders. In this study, a nonlinear time-varying dynamic model of spur gear pair was established to predict the modulation sidebands caused by the AM-FM modulation internal excitation. …”
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The Relationship between the Heat Disorder Incidence Rate and Heat Stress Indices at Yamanashi Prefecture in Japan by Shin Akatsuka, Tadashi Uno, Masahiro Horiuchi

“…Daily maximum air temperature and daily maximum WBGT were used as heat stress indices in each region. Nonlinear regression analysis was used to examine the regional difference in the relationship between the heat disorder incidence rate and heat stress indices in each region. …”
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Numerical Simulation of a Partly Filled Rectangular Tank with Fuel Oil by Farhan Lafta Rashid, Emad Qasem Hussein, Mudhar A. Al-Obaidi, Awesar A. Hussain

“…It possesses properties that are both nonlinear and exceedingly unpredictable, and these properties affect the tank wall. …”
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Towards a spectrally multiplexed quantum repeater by Tanmoy Chakraborty, Antariksha Das, Hedser van Brug, Oriol Pietx-Casas, Peng-Cheng Wang, Gustavo Castro do Amaral, Anna L. Tchebotareva, Wolfgang Tittel

“…Here we demonstrate the concurrent employment of (1) spectrally multiplexed cavity-enhanced spontaneous parametric down-conversion in a nonlinear crystal; (2) a virtually-imaged phased array that enables mapping of spectral modes onto distinct spatial modes for frequency-selective detection; and (3) a cryogenically-cooled Tm3+:LiNbO3 crystal that allows spectral filtering in an approach that anticipates its use as a spectrally-multiplexed quantum memory. …”
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Compartmental Models Driven by Renewal Processes: Survival Analysis and Applications to SVIS Epidemic Models by Divine Wanduku, Md Mahmud Hasan

“…The novel SVIS model is formulated as a non-autonomous nonlinear system (NANLS) of ordinary differential equations (ODEs), with coefficients defined by HRFs. …”
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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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Efficiency of Melamine Grafted Chitosan-based Magnetic Nanocomposite for Cationic Dye Adsorption: Kinetics, Isotherms, Thermodynamics by Hossein Dehghani, Sanaz Sajedi-Amin, Abdolhossein Naseri

“…The equilibrium data were analyzed by nonlinear Langmuir and Freundlich model for BR and MB adsorption. …”
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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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Fracture precursor phenomena in marble specimens under uniaxial compression by means of Acoustic Emission data by Dimos Triantis, Stavros Kourkoulis

“…During the stage of in­creasing load, intense acoustic activity is detected as the cor­responding stress reaches the transitional phase from the linear to the nonlinear mechanical re­sponse of the material. When the stress is stabilized at levels exceeding 95% of the material’s compressive strength, the acous­tic activ­ity is drastically reduced. …”
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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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Utilizing slip conditions on transport phenomena of heat energy with dust and tiny nanoparticles over a wedge by Nazir Umar, Khan Umair, Almujibah Hamad, Gündoğdu Hami

“…A tri-hybrid nanofluid comprising silicon dioxide, copper, and aluminum oxide nanoparticles suspended in ethylene glycol, the base fluid, is incorporated into the analysis. The derivation of nonlinear ordinary differential equations (ODEs) is used to characterize momentum, thermal behavior, and fluid motion under these circumstances. …”
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