Qualitative Behaviour of Solutions in Two Models of Thin Liquid Films by Matthew Michal, Marina Chugunova, Roman Taranets

“…For the thin-film model of a viscous flow which originates from lubrication approximation and has a full nonlinear curvature term, we prove existence of nonnegative weak solutions. …”
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Short-Term Load Forecasting in Power Systems Based on the Prophet–BO–XGBoost Model by Shuang Zeng, Chang Liu, Heng Zhang, Baoqun Zhang, Yutong Zhao

“…To tackle the challenges of limited accuracy and poor generalization in short-term load forecasting under complex nonlinear conditions, this study introduces a Prophet–BO–XGBoost-based forecasting framework. …”
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Introducing a Chaotic Component in the Control System of Soil Respiration by Peng An, Wen-Feng Wang, Xi Chen, Jing Qian, Yunzhu Pan

“…This study aims to introduce a chaotic component in the control system of soil respiration and explain control complexity of this nonlinear chaotic system. This also presents a theoretical framework for better understanding chaotic components of soil respiration in arid land. …”
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On the Steady State Response of a Cantilever Beam Partially Immersed in a Fluid and Carrying an Intermediate Mass by A.A. Al-Qaisia, M.N. Hamdan, B.O. Al-Bedoor

“…This paper presents a study on the nonlinear steady state response of a slender beam partially immersed in a fluid and carrying an intermediate mass. …”
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Investigation of Subcombination Internal Resonances in Cantilever Beams by Haider N. Arafat, Ali H. Nayfeh

“…The effect of geometric and inertia nonlinearities, which are cubic in the governing equation of motion, is considered. …”
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Adaptive Control of MEMS Gyroscope Based on T-S Fuzzy Model by Yunmei Fang, Shitao Wang, Juntao Fei, Mingang Hua

“…The controller output is implemented on the nonlinear model and T-S fuzzy model, respectively, for the purpose of comparison. …”
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Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method by Xiaofei Zhou, Junmei Li, Yulan Wang, Wei Zhang

“…Hyperchaotic system, as an important topic, has become an active research subject in nonlinear science. Over the past two decades, hyperchaotic system between nonlinear systems has been extensively studied. …”
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COMPARISON STUDY ON BEARING CAPACITY OF CIRCULAR AND DIAMOND HOLE LAMINATES UNDER SHEAR LOAD by GAO Wei, YAO XiongHua, ZHANG WenJun

“…The results show: under the premise of the same laminate weight, the same hole accessibility and the same stacking angle information, the load-carrying capacity of the laminate with diamond hole is greater than that of the laminate with circular hole; based on the nonlinear continuum damage mechanics（CDM）, the fiber damage is predicted by using the maximum strain failure criterion, and the matrix damage is predicted by using the three-dimensional nonlinear puck failure criterion A three-dimensional finite element model of laminate is established and numerical simulation is carried out. …”
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Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams by D. Scharwald, L. Gehse, P. R. Sharapova

“…In this work, we present a theoretical approach to the generation of correlated Schmidt modes carrying OAM via parametric down-conversion (PDC) in cascaded nonlinear systems (nonlinear interferometers) pumped by Laguerre–Gaussian beams. …”
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Flow over Exponentially Stretching Sheet through Porous Medium with Heat Source/Sink by I. Swain, S. R. Mishra, H. B. Pattanayak

“…The effect of thermal radiation and heat source/sink has also been discussed in this paper. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically using a fourth-order Runge-Kutta method with a shooting technique. …”
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Estimating Vehicle Stability Region Based on Energy Function by Yu-guang Yan, Hong-guo Xu, Hong-fei Liu

“…With Pacejka magic formula tire model, nonlinear 3DOF vehicle model was deduced and verified though vehicle test. …”
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Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet by Meysam Mohamadali, Nariman Ashrafi

“…Upon proper scaling and by means of an exact similarity transformation, the nonlinear momentum and constitutive equations of each layer transform into the respective system of highly nonlinear and coupled ordinary differential equations. …”
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RESEARCH ABOUT FAULT DIAGNOSIS OF BEARING BASED ON INSTRINSIC TIME SCALE DECOMPOSITION AND CONVOLUTIONAL NEURAL NETWORK by XIAO JunQing, YUE MinNan, LI Chun, JIN JiangTao, XU ZiFei, MIAO WeiPao

“…The working environment of rolling bearing is complex, the nonlinear vibration signal and the interference of environmental noise lead to the difficulty of fault diagnosis. …”
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Abundant Soliton Structures to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model by Kang-Jia Wang, Feng Shi, Guo-Dong Wang

“…The results obtained in this study are helpful to explain some physical meanings of some nonlinear physical models in electromagnetic waves.…”
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A New Finite-Time Bounded Control of Stochastic Itô Systems with (x,u,v)-Dependent Noise: Different Quadratic Function Approach by Zhiguo Yan, Zhongwei Lin

“…Moreover, the finite-time bounded controller design problem is studied and two sufficient conditions for the existence of state and output feedback controllers are presented in terms of nonlinear matrix inequalities. An algorithm is given for solving the obtained nonlinear matrix inequalities. …”
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Dynamic Influence Prediction of Social Network Based on Partial Autoregression Single Index Model by Ya-hui Jia, Taotao Song, Shun-yao Wu, Qi Zhang, Yu-xia Su

“…In social network, it has been concluded that the microblog users influence and microblog grade are nonlinearly dependent. However, to the best of our knowledge, the nonlinear influence predication of social network has not been explored in the existing literature. …”
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Characterization of the stress-strain state in a gas turbine engine compressor disc taking into account damage accumulation by Natalia Boychenko, Ivan Ishtyryakov

“…Nonlinear stress intensity factors are preferred as the fracture resistance parameters of materials and structures.…”
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Partitioned Quasi-Newton Approximation for Direct Collocation Methods and Its Application to the Fuel-Optimal Control of a Diesel Engine by Jonas Asprion, Oscar Chinellato, Lino Guzzella

“…First results indicate a significantly faster convergence of the nonlinear program solver when the method proposed is used instead of the standard quasi-Newton approximation.…”
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Analyzing Ferroresonance Phenomena in Power Transformers Including Zinc Oxide Arrester and Neutral Resistance Effect by Hamid Radmanesh, Fathi Seyed Hamid

“…The simulation results show that connecting the neutral resistance exhibits a great mitigating effect on nonlinear overvoltage.…”
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MODIFICATION OF THE DECOMPOSITION METHOD OF CONSTRUCTING MULTIVARIATE POLYNOMIAL REGRESSION WHICH IS LINEAR WITH RESPECT TO UNKNOWN COEFFICIENTS by Alexander Pavlov, Maxim Holovchenko, Valeriia Drozd

“…The formal algorithm for constructing coefficient estimates for nonlinear terms of the multivariate polynomial regression stops working on the first coefficient whose estimation with a predetermined accuracy is not achieved under the specified limitations on the number of tests. …”
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