Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions by Thanin Sitthiwirattham, Jessada Tariboon, Sotiris K. Ntouyas

“…The existence of at least one solution is proved by using Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative. Some illustrative examples are also presented.…”
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Research on Modeling and Solving of Shield Tunneling Posture based on Homogeneous Transformation Matrix by Qiang Zhang, Dongchen Qin, Peng Zhou, Qiang Zhu, Jiangyi Chen

“…In order to more accurately and quickly solve the shield machine pose change during the tunneling process， a positive solution method for the pose of the shield machine based on the spatial homogeneous transformation matrix element is used to establish a positive solution model of the shield machine pose， and the Newton-Raphson algorithm is used to obtain the nonlinear equations with homogeneous transformation matrix elements as unknown quantities are solved successively， and the numerical solutions of the elements of the homogeneous transformation matrix are obtained. …”
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Robustness Analysis of Control Laws in Complex Dynamical Networks Evoked by Deviating Argument by Biwen Lia, Jingjing Huang, Donglun Wang

“…We design two categories of control laws (linear control law and nonlinear control law) for the undisturbed CDNs to achieve exponential synchronization. …”
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Command Filtering and Barrier Lyapunov Function-Based Adaptive Control for PMSMs with Core Losses and All-State Restrictions by Xiaoling Wang, Jinpeng Yu

“…To begin with, the RBF neural network technique is utilized to get close to the uncharted nonlinear terms which existed in PMSM’s mathematical model. …”
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Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams by Menglin Lou, Qiuhua Duan, Genda Chen

“…In this approach, the differential equation of motion describing the dynamic behavior of the Timoshenko beam can be transformed into a set of nonlinear algebraic equations. Therefore, the solution process can be simplified significantly for the Timoshenko beam with arbitrary boundaries. …”
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Serotonergic Dysfunction in Parkinson's Disease and Its Relevance to Disability by Marios Politis, Clare Loane

“…With the use of in vivo positron emission tomography functional imaging, it has been shown that serotonergic terminals are affected at a varying, nonlinear degree starting early in the clinical course of Parkinson's disease. …”
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Laboratory modeling of MHD accretion disks by Gissinger, Christophe

“…These experiments also highlight the nonlinear transition to turbulence in accretion disks, and their link with other MHD instabilities in centrifugally-stable flows. …”
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Cloud server aging prediction method based on hybrid model of auto-regressive integrated moving average and recurrent neural network by Haining MENG, Xinyu TONG, Yuekai SHI, Lei ZHU, Kai FENG, Xinhong HEI

“…In view of the nonlinear, stochastic and sudden characteristics of operating environment of cloud server system, a software aging prediction method based on hybrid auto-regressive integrated moving average and recurrent neural network model (ARIMA-RNN) was proposed.Firstly, the ARIMA model performs software aging prediction of time series data in cloud server.Then the grey relation analysis method was used to calculate the correlation of the time series data to determine the input dimension of RNN model.Finally, the predicted value of ARIMA model and historical data were used as the input of RNN model for secondary aging prediction, which overcomes the limitation that ARIMA model has low prediction accuracy for time series data with large fluctuation.The experimental results show that the proposed ARIMA-RNN model has higher prediction accuracy than ARIMA model and RNN model, and has faster prediction convergence speed than RNN model.…”
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Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model by Yolanda Guerrero Sánchez, Zulqurnain Sabir, Hatıra Günerhan, Haci Mehmet Baskonus

“…The pivotal aim of the present study is to propose the nonlinear mathematical model of the nervous stomach system based on three compartments namely, tension (T), food (F), and medicine (M). …”
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Modelling and Analysis of Dynamics Characteristics of Face-gear Transmission System Considering Multi-state Engagement by Zhu Lingyun, Gu Meihua, Gou Xiangfeng

“…In order to reveal the dynamics and dynamic characteristics of face-gear in the transmission process, a nonlinear dynamic model of bending, torsion and pendulum of face-gear transmission system considering multi-state engagement is established. …”
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Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method by Mojtaba Nazari, Faisal Salah, Zainal Abdul Aziz, Merbakhsh Nilashi

“…The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. HAM contains the auxiliary parameter ħ, which provides us with a straightforward way to adjust and control the convergence region of the series solution. …”
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Empirical mode decomposition analysis of climate changes with special reference to rainfall data

“…<p>We have used empirical mode decomposition (EMD) method, which is especially well fitted for analyzing time-series data representing nonstationary and nonlinear processes. This method could decompose any time-varying data into a finite set of functions called &#8220;intrinsic mode functions&#8221; (IMFs). …”
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STRUCTURE FINITE ELEMENT ANALYSIS AND LIGHTWEIGHT DESIGN OF MULTILAYER DRUM by WEN MingLiang, WU Xiao, LI Xin, XIONG Gang

“…In order to reduce the execution cycle of the ANSYS optimization method and improve the efficiency,it uses LM-BP neural network which has great nonlinear problem fitting ability and GA which has excellent global search ability in Matlab to realize this rapid optimization design of multilayer drum. …”
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The association between salivary oxytocin, age, and puberty in children with and without OCD by Anna-Rosa Cecilie Mora-Jensen, Line Katrine Harder Clemmensen, Manja Gersholm Grønberg, Eli R. Lebowitz, Daniel S. Quintana, Niklas Rye Jørgensen, Charlotte Sewerin Larsen, Lasse Kristoffer Bak, Gitte Lund Christensen, Linea Pretzmann, Valdemar Uhre, Sofie Heidenheim Christensen, Camilla Uhre, Nicoline Løcke Jepsen Korsbjerg, Christine Lykke Thoustrup, Julie Hagstrøm, Melanie Ritter, Kerstin Jessica Plessen, Anne Katrine Pagsberg, Nicole Nadine Lønfeldt

“…Our findings do not suggest elevated oxytocin concentrations in pediatric OCD. Nonlinear changes in oxytocin across development show the importance of accounting for hormonal and behavioral changes during puberty.…”
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Associations between neutrophil-percentage-to-albumin ratio level and all-cause mortality and cardiovascular disease-cause mortality in diabetes population by Geng Shen, Yuting Liu, Can Zhou, Wei Luo, Yun-xiao Yang, Shuai Guo, Jiayi Yi, Lin Wang, Wei Li, Zhao-gong Zhi, Xiu-huan Chen, Chen Li, Yanyan Jin, Hai Gao

“…The assessment of nonlinearity was conducted using the likelihood ratio test. …”
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The Association Between Neutrophil‐Percentage‐to‐Albumin Ratio (NPAR) and Mortality Among Individuals With Cancer: Insights From National Health and Nutrition Examination Survey... by Xinyang Li, Meng Wu, Minxin Chen, Rufei Liu, Qingxu Tao, Yun Hu, Jinming Yu, Dawei Chen

“…Our analysis further identified a non‐linear relationship between NPAR and all‐cause mortality risk (p‐nonlinear < 0.05), while no non‐linear relationship was found with cancer‐related mortality risk. …”
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Self-induced optical non-reciprocity by Zhu-Bo Wang, Yan-Lei Zhang, Xin-Xin Hu, Guang-Jie Chen, Ming Li, Peng-Fei Yang, Xu-Bo Zou, Peng-Fei Zhang, Chun-Hua Dong, Gang Li, Tian-Cai Zhang, Guang-Can Guo, Chang-Ling Zou

“…Exciting experimental progress has been achieved by either introducing spatial-temporal modulation of the optical medium or combining Kerr-type optical nonlinearity with spatial asymmetry in photonic structures. …”
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Machine Learning and Regression Models for Evaluating Ultimate Performance of Cotton Rope-Confined Recycled Aggregate Concrete by Kittipoom Rodsin, Ali Ejaz, Huaping Wang, Panumas Saingam, Panuwat Joyklad, Wasim Khaliq, Qudeer Hussain, Chichaya Boonmee

“…The second branch was described using a linear approximation, and nonlinear regression analysis produced expressions for key points on the idealized compressive curve, enhancing model accuracy for CR-confined RAC. …”
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Linkage Analysis between Solid-Fluid Coupling and the Strength Reduction Method for Karst Cave Water Inrush in Mines by Yanlin Zhao, Jian Liao, Qiang Liu, Yang Li, Jianchao Cheng

“…The present paper aims to study the mechanical mechanism and characteristics of water irruption from Karst cave. Combining the nonlinear seepage-pipe coupling model with the strength reduction method, the linkage analysis of fluid solid coupling and strength reduction method are constructed to study the whole process of confined Karst cave water inrush. …”
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Explainable machine learning for modeling of net ecosystem exchange in boreal forests by E. Ezhova, T. Laanti, A. Lintunen, P. Kolari, T. Nieminen, I. Mammarella, K. Heljanko, K. Heljanko, M. Kulmala

“…We use data sets from two stations in the Finnish boreal forest (southern site Hyytiälä and northern site Värriö) and model NEE during the peak growing season and the whole year. For Hyytiälä, all nonlinear models demonstrated similar results with <span class="inline-formula"><i>R</i>²</span> <span class="inline-formula">=</span> 0.88 for the peak growing season and <span class="inline-formula"><i>R</i>²</span> <span class="inline-formula">=</span> 0.90 for the whole year. …”
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