Nanoscale nonlocal thermal transport and thermal field emission in high-current resonant tunnel structures by Michael V. Davidovich, Igor S. Nefedov, Olga E. Glukhova, J. Miguel Rubi

“…Abstract We present a nonlinear model of thermal field emission in resonant tunneling nanostructures with multiple barriers and potential wells, based on an accurate determination of the quantum potential shape and a rigorous solution of the Schrödinger equation, while considering thermal balance. …”
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The Dynamic Effect of Unemployment Rate and Crime Rate on Suicide Rate under Economic Growth Rate by Ssu-Han Chen, Tzu-Yi Yang, Yu-Tai Yang, Chiu-Yen Wang

“…Statistical results indicated that unemployment rate and crime rate had dynamic effects on suicide rate and that nonlinear relationships existed among them. In addition, depending on the fluctuation of dynamic value, the rise or fall of suicide rate had an asymmetrical influence on the value of unemployment rate and crime rate. …”
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Neural Network Compensation Control for Output Power Optimization of Wind Energy Conversion System Based on Data-Driven Control by T. Li, A. J. Feng, L. Zhao

“…Due to the uncertainty of wind and because wind energy conversion systems (WECSs) have strong nonlinear characteristics, accurate model of the WECS is difficult to be built. …”
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Optimizing Cooperative Cognitive Radio Networks with Opportunistic Access by Ammar Zafar, Mohamed-Slim Alouini, Yunfei Chen, Redha M. Radaydeh

“…It is then shown that the objective functions and the constraints are nonlinear and nonconvex functions of the parameters of interest, that is, source and relay powers, symbol time, and sensing time. …”
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Analytical Models for Gravitating Radiating Systems by B. P. Brassel, S. D. Maharaj, G. Govender

“…We show that the isotropy of pressure is a consistency condition which realises a second order nonlinear ordinary differential equation with variable coefficients in the gravitational potentials. …”
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Neurogenetic Algorithm for Solving Combinatorial Engineering Problems by M. Jalali Varnamkhasti, Nasruddin Hassan

“…In order to appraise the performance of the techniques used in this study, one of the chemistry problems and some nonlinear functions available in literature is used.…”
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The formal Laplace-Borel transform of Fliess operators and the composition product by Yaqin Li, W. Steven Gray

“…This gives a compact interpretation of the operational calculus of Fliess for computing the output response of an analytic nonlinear system.…”
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Sliding Mode Observer and Control Design with Adaptive Parameter Estimation for a Supersonic Flight Vehicle by M. Bahrami, B. Ebrahimi, G. R. Ansarifar

“…Design and synthesis of a nonlinear generic supersonic flight vehicle longitudinal dynamics control for angle-of-attack, AOA, output tracking in the atmospheric flight is presented based on sliding mode control. …”
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A New Impact Time and Angle Control Guidance Law for Stationary and Nonmaneuvering Targets by Zhe Yang, Hui Wang, Defu Lin, Luyao Zang

“…Then the sliding mode control surface with impact time and angle constraints is constructed using nonlinear engagement dynamics to provide an accurate solution. …”
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Strong and Δ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0) Spaces by C. E. Chidume, A. U. Bello, P. Ndambomve

“…Our theorems complement and extend several recent important results on approximation of fixed points of certain nonlinear mappings in CAT(0) spaces. Furthermore, our method of the proof is of special interest.…”
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Effects of Duct Cross Section Camber and Thickness on the Performance of Ducted Propulsion Systems for Aeronautical Applications by Rodolfo Bontempo, Marcello Manna

“…The axisymmetric flow field around a ducted rotor is thoroughly analysed by means of a nonlinear and semi-analytical model which is able to deal with some crucial aspects of shrouded systems like the interaction between the rotor and the duct, and the slipstream contraction and rotation. …”
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Computational Study of Cold-Formed-Steel X-Braced Shear Walls by Metwally Abu-Hamd, Maheeb Abdel-Ghaffar, Basel El-Samman

“…The models account for different types of material and geometric nonlinearities. The screws that connect the cold-formed-steel (CFS) studs, tracks, gusset plates, and braces are considered explicitly in the model. …”
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Kannan Contraction Maps on the Space of Null Variable Exponent Second-Order Quantum Backward Difference Sequences of Fuzzy Functions and Its Pre-Quasi Ideal by Awad A. Bakery, OM Kalthum S. K. Mohamed

“…There are also some significant applications of the existence of solutions to nonlinear difference equations of fuzzy functions.…”
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Generalized Kudryashov Method for Time-Fractional Differential Equations by Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut

“…These time-fractional equations can be turned into another nonlinear ordinary differantial equation by travelling wave transformation. …”
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New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods by Yinghui He

“…The G′/G-expansion method is a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems. …”
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On the Multiplicity of Solutions for the Discrete Boundary Problem Involving the Singular ϕ-Laplacian by Zihua Qiu

“…We show that, if the nonlinear term oscillates suitably at the origin, there exists a sequence of pairwise distinct nontrivial solutions with the norms tend to zero. …”
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Stabilization and Tracking Control of Inverted Pendulum Using Fractional Order PID Controllers by Sunil Kumar Mishra, Dinesh Chandra

“…A particle swarm optimisation (PSO) based direct tuning technique is used to design two PIλDμ controllers for IP system without linearizing the actual nonlinear model. The fitness function is minimized by running the SIMULINK model of IP system according to the PSO program in MATLAB. …”
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Vibration Suppression of a Coupled Aircraft Wing with Finite-Time Convergence by Yiming Liu, Zhifeng Tan, Xiaofen Yang, Xiaowei Wang

“…A nonlinear coupled wing model subject to unknown external disturbances is proposed in this paper. …”
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On the Korteweg-de Vries equation: an associated equation by Eugene P. Schlereth, Ervin Y. Rodin

“…The purpose of this paper is to describe a relationship between the Korteweg-de Vries (KdV) equation ut−6uux+uxxx=0and another nonlinear partial differential equation of the form zt+zxxx−3zxzxxz=H(t)z.The second equation will be called the Associated Equation (AE) and the connection between the two will be explained. …”
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Disturbance Observer-Based Adaptive Neural Network Control of Marine Vessel Systems with Time-Varying Output Constraints by Wei Zhao, Li Tang, Yan-Jun Liu

“…This article investigates an adaptive neural network (NN) control algorithm for marine surface vessels with time-varying output constraints and unknown external disturbances. The nonlinear state-dependent transformation (NSDT) is introduced to eliminate the feasibility conditions of virtual controller. …”
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