Optimization of distribution risk of hazardous materials in the production routing problem by Amin Farahbakhsh, Amirsaman Kheirkhah

“…Given that solving the mathematical model with the nonlinear objective function is more difficult, this function is approximated by a piecewise linear function.Findings: In this research, 8 standard instances have been used to evaluate and solve the model and compare the two nonlinear and linear models. …”
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Optimization of Data Distributed Network System under Uncertainty by Laxminarayan Sahoo, Supriyan Sen, Kalishankar Tiwary, Sovan Samanta, Tapan Senapati

“…Constrained optimization is a computationally challenging job whenever the constraints/limitations are nonlinear and nonconvex. Furthermore, nonlinear programming methods can easily deal same optimization problem if somehow the constraints are nonlinear and convex. …”
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How Can Brain Learn to Control a Nonholonomic System? by Noriyasu Homma, Shinpei Kato, Takakuni Goto, Ivo Bukovsky, Ryuta Kawashima, Makoto Yoshizawa

“…Humans can often conduct both linear and nonlinear control tasks after a sufficient number of trials, even if they initially do not have sufficient knowledge about the system's dynamics and the way to control it. …”
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Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System by Hong-Yu Wu, Jin-Xi Fei, Zheng-Yi Ma, Jun-Chao Chen, Wen-Xiu Ma

“…The Kadomtsev–Petviashvili equation is one of the well-studied models of nonlinear waves in dispersive media and in multicomponent plasmas. …”
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Chaos synchronization for a class of uncertain chaotic supply chain and its control by ANFIS by Seyed Mohamad Hamidzadeh, Mohsen Rezaei, Mehdi Ranjbar-Bourani

“…To train adaptive neural fuzzy controller, first, a nonlinear feedback control method is designed. Then, using Lyapanov theory, it is proved that the nonlinear feedback controller can reduce the synchronization error to zero in a finite time. …”
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Buckling suppression of a cantilever structure with a modified fuzzy sliding mode control by Jianhua Pan, Lin Sun, Xiaopei Liu, Yuyuan Zhang, Yili Duo

“…Subsequently, a second-order Galerkin discretization is applied to establish a two-dimensional nonlinear system for the cantilever structure. Numerical simulations demonstrate that a two-dimensional nonlinear dynamic model of the laminated composite structure is essential for precise buckling vibration estimations. …”
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FSE-RBFNN-Based AILC of Finite Time Complete Tracking for a Class of Time-Varying NPNL Systems with Initial State Errors by Chunli Zhang, Lei Yan, Yangjie Gao

“…The paper proposed an adaptive iterative learning control (AILC) strategy for the unmatched uncertain time-varying nonparameterized nonlinear systems (NPNL systems). Addressing the difficulty of nonlinear parameterization terms in system models, a new function approximator (FSE-RBFNN) which is combined with radial basis function neural network (RBFNN) and Fourier series expansion (FSE) is introduced to model each time-varying nonlinear parameterization function. …”
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Extension of Khan’s Homotopy Transformation Method via Optimal Parameter for Differential Difference Equations by Mohamed S. Mohamed, Khaled A. Gepreel, Faisal A. Al-Malki, Nouf Altalhi

“…A new scheme, deduced from Khan’s homotopy perturbation transform method (HPTM) (Khan, 2014; Khan and Wu, 2011) via optimal parameter, is presented for solving nonlinear differential difference equations. Simple but typical examples are given to illustrate the validity and great potential of Khan’s homotopy perturbation transform method (HPTM) via optimal parameter in solving nonlinear differential difference equation. …”
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Driver’s Anticipation and Memory Driving Car-Following Model by Ammar Jafaripournimchahi, Lu Sun, Wusheng Hu

“…The changes of headway, relative velocity, and driver memory to the vehicle in front are introduced as factors of driver’s anticipation behavior. Linear and nonlinear stability analyses are both applied to study the linear and nonlinear stability conditions of the new model. …”
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Association between Ambient Illumination and Cognitive Impairment: A Population-Based Study of Older by Tieyi Shi, Baozhong Chen

“…Smooth curve fitting showed that the correlation was nonlinear, with an inflection point at 1.22. Conclusions. …”
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TE Magnetostatic Surface Waves in Symmetric Dielectric Negative Permittivity Material Waveguide by A. I. Ass'ad, H. S. Ashour

“…Nonlinear magnetostatic surface wave in a slab waveguide structure has been investigated. …”
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Diverse Precise Traveling Wave Solutions Possessing Beta Derivative of the Fractional Differential Equations Arising in Mathematical Physics by Imran Siddique, Arshad M. Mirza, Kausar Shahzadi, M. Ali Akbar, Fahd Jarad

“…The accomplished solutions show that the presented methods are not only powerful mathematical tools for generating more solutions of nonlinear time fractional partial differential equations but also can be applied to nonlinear space-time fractional partial differential equations.…”
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MAGNETO-ELASTIC PRINCIPAL RESONANCE OF AXIALLY MOVING FERROMAGNETIC PLATE UNDER HARMONIC MAGNETIC FORCE (MT) by CAO TianXiao, HU YuDa

“…Based on Hamilton principle, the nonlinear magneto-elastic vibration equation of ferromagnetic plate is established under the combined action of mechanical load and harmonic magnetic force induced by magnetization. …”
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Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System by Li Ding, Shangshang Cheng, Kaifei Zhang, Jiajun Chai, He Li, Chengdong Niu, Chao Cao

“…In this paper, the hinge in the articulated structure is studied, the gap hinge is described as a nonlinear bilateral constraint, and the equivalent modeling and analysis of the hinge connection collision vibration are carried out based on the Lankarani–Nikravesh nonlinear contact force model. …”
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Circuit Distortion Analysis Based on the Simplified Newton's Method by M. M. Gourary, S. G. Rusakov, S. L. Ulyanov, M. M. Zharov, B. J. Mulvaney

“…A new computational technique for distortion analysis of nonlinear circuits is presented. The new technique is applicable to the same class of circuits, namely, weakly nonlinear and time-varying circuits, as the periodic Volterra series. …”
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Effective Method for Analysis of Electrothermally Coupled Fields by Jacek Korytkowski, Stanisław Wincenciak

“…An effective method is presented for solving a nonlinear system of partial differential equations that describe the time-dependent electrothermally coupled fields for passage of constant electric current in a three-dimensional conductive medium. …”
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Does Diversification Affect Banking Systemic Risk? by Shouwei Li

“…This paper contributes to the understanding of the linear and nonlinear causal linkage from diversification to banking systemic risk. …”
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Emerging Spatiotemporal Dynamics in Multiterminal Neuromorphic Nanowire Networks Through Conductance Matrices and Voltage Maps by Davide Pilati, Fabio Michieletti, Alessandro Cultrera, Carlo Ricciardi, Gianluca Milano

“…The multiterminal approach also allowed monitoring the spatial distribution of nonlinear activity, demonstrating the impact of different network areas on the system's information processing capabilities. …”
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Experimental Validation of Numerical Model for Bi-Tilt-Isolator by Ming-Hsiang Shih, Wen-Pei Sung, Chia-Yu Ho

“…Sliding force, friction force, and impulse force are caused in the slanting process of BTI, nonlinear behavior. A nonlinear mathematical model is derived based on the sliding upwards, sliding downwards, and transition stages. …”
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The Size Effect and Microstructure Changes of Granite after Heat Treatment by Zhongping Guo, Jian Li, Yongqi Song, Chengqian He, Fuyu Zhang

“…High temperature can change the mechanical properties of granite, with significant nonlinear characteristics, and at the same time change its microstructure. …”
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