Structural and Vibrational Investigation of Benzil-(1,2-Diphenylethane-1,2-Dione): Experimental and Theoretical Studies by N. Kanagathara, K. Senthilkumar, V. Sabari, V. Ragavendran, S. Elangovan

“…Hence, benzil can be referred to as a good material for nonlinear optical applications.…”
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A Multilayer Feed Forward Small-World Neural Network Controller and Its Application on Electrohydraulic Actuation System by Xiaohu Li, Feng Xu, Jinhua Zhang, Sunan Wang

“…Being difficult to attain the precise mathematical models, traditional control methods such as proportional integral (PI) and proportional integral differentiation (PID) cannot meet the demands for real time and robustness when applied in some nonlinear systems. The neural network controller is a good replacement to overcome these shortcomings. …”
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Model-Based Leakage Estimation and Remaining Useful Life Prediction of Control Gas Cylinder by Zhenzhen Zhang, Hui Chen, Chao Qi, Yazhou Liu

“…Then, the estimated states are fed into the nonlinear model to iteratively calculate the RUL of the cylinder. …”
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Vibration Response Analysis of a Tethered Unmanned Aerial Vehicle System under Transient Wind Field by Wei He, Suxia Zhang

“…There is a lack of research on the nonlinear vibration of the tethered UAV in a transient wind field environment. …”
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Experimental Investigations on the Dynamic Behaviour of O-Type Wire-Cable Vibration Isolators by Hong-Xia Wang, Xian-Sheng Gong, Fei Pan, Xue-Jiang Dang

“…The parameters of this model were identified through an identification procedure that does not involve any nonlinear iterative algorithms. Comparison between the identification results and the experimental data suggests that the identification method is effective. …”
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Steepest-Ascent Revisited: Unconstrained Missile Trajectory by Elsayed M. Khalil, Hao Zhou, Wanchun Chen

“…The formulation entails nonlinear 2-DOF missile flight dynamics with mixed boundary conditions. …”
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Recursive Neural Network-Based Market Demand Forecasting Algorithm for Calligraphy Practice Products by Yi Xue

“…The artificial intelligence neural network method realizes the nonlinear relationship between the input and output of sample data through the self-learning ability of each neuron and has a certain nonlinear mapping ability in prediction, which plays a great role in the market demand prediction of many commercial products. …”
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Comprehensive analysis of Pan-Immune Inflammation and all-cause mortality in rheumatoid arthritis: a database-driven approach, 1999-2018 by Muradil· Mardan, Huoliang Zheng, Qingyin Xu, Shaokuan Song, Zeyu Lu, Hui Deng, Hao Cai, Qizhu Chen, Bingyi Yang, Kudelaiti· Abuduwufuer, Pengbo Chen, Bo Li, Shengdan Jiang, Leisheng Jiang, Xin-feng Zheng

“…RCS analysis revealed a nonlinear relationship with a threshold at PIV = 302. …”
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New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations by Mohamed S. Al-luhaibi

“…This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger’s equations with fractional time derivative. …”
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Robust Adaptive Fuzzy Control of Chaos in the Permanent Magnet Synchronous Motor by Jinpeng Yu, Junwei Gao, Yumei Ma, Haisheng Yu, Songfeng Pan

“…Fuzzy logic systems are used to approximate unknown nonlinearities, and an adaptive backstepping technique is employed to construct controllers. …”
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Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation by Tetsutaro Shibata

“…We consider the nonlinear eigenvalue problems for the equation , , , , where is a parameter. …”
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays by Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

“…This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time-varying delays under sufficient conditions. …”
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Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations by Hassan Eltayeb, Diaa Eldin Elgezouli, Adem Kilicman, Imed Bachar

“…In this work, the solution of the linear, nonlinear, and coupled system fractional singular two-dimensional pseudoparabolic equation is examined by using a three-dimensional Laplace Adomian decomposition method (3-DLADM). …”
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Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics by Y. B. Chukkol, M. N. B. Mohamad, Mukhiddin Muminov

“…The method applied can be used in further works to obtain entirely new solutions to many other nonlinear evolution equations.…”
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The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations by Baojun Miao, Xuechen Li

“…By using fractional calculus and the summation by parts formula in this paper, the asymptotic behaviours of solutions of nonlinear neutral fractional delay pantograph equations with continuous arguments are investigated. …”
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Existence and Uniqueness of Solutions for a Fractional Hybrid System with Nonseparated Integral Boundary Hybrid Conditions by M. Hannabou, M. Bouaouid, K. Hilal

“…In this paper, we are going to investigate the existence and uniqueness of solutions of a coupled system of nonlinear fractional hybrid equations with nonseparated type integral boundary hybrid conditions. …”
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Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces by Samir Dashputre, Kavita Sakure

“…Moreover, we provide an application of our results to nonlinear integral equations.…”
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Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations on RN by Yu Duan, Chun-Lei Tang

“…We will show that if the nonlinearities are asymptotically linear at infinity and λ>0 is sufficiently small, the Kirchhoff type equations have at least two positive solutions. …”
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About Stabilization of the Controlled Inverted Pendulum Under Stochastic Perturbations of the Type of Poisson’s Jumps by Leonid Shaikhet

“…It is supposed that stabilized control depends on the entire trajectory of the pendulum. Linear and nonlinear models of the controlled inverted pendulum are considered, and the stability of the zero and nonzero equilibria is studied. …”
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Input-to-State Stability for Dynamical Neural Networks with Time-Varying Delays by Weisong Zhou, Zhichun Yang

“…By employing the Lyapunov-Krasovskii functional method and linear matrix inequalities (LMIs) technique, some new sufficient conditions ensuring the input-to-state stability (ISS) property of the nonlinear network systems are obtained. Finally, numerical examples are provided to illustrate the efficiency of the derived results.…”
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