Finite-Time Synchronization and Synchronization Dynamics Analysis for Two Classes of Markovian Switching Multiweighted Complex Networks from Synchronization Control Rule Viewpoint by Bin Yang, Xin Wang, Yongju Zhang, Yuhua Xu, Wuneng Zhou

“…This paper is mainly concerned with how nonlinear coupled one impacts synchronization dynamics of a class of nonlinear coupled Markovian switching multiweighted complex networks (NCMSMWCNs). …”
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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

“…Theoretically, it is well known that some nonlinear systems cannot be stabilized asymptotically by any linear controllers and we have reported by an f-MRI experiment that different types of information may be involved in linear and nonlinear control tasks, respectively, from a brain function mapping point of view. …”
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TOPOLOGY OPTIMIZATION DESIGN OF AN ELECTRIC EXCAVATOR FALLING OBJECT PROTECTIVE STRUCTURES by MA Chao, LU PengCheng, ZHAO YueHe, ZHANG Xing, QIU WenNing

“…Firstly, the dynamic and nonlinear crush process is simplified into multiple static and nonlinear deformation processes based on equivalent displacement. …”
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Vehicle Stability Control Based on Model Predictive Control Considering the Changing Trend of Tire Force Over the Prediction Horizon by Shaosong Li, Guodong Wang, Bangcheng Zhang, Zhixin Yu, Gaojian Cui

“…Moreover, its performance was close to that of the nonlinear controller, whereas its calculation speed is much faster than that of the nonlinear model predictive controller.…”
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Impact of maternal age on birth weight-related adverse outcomes in newborns: a retrospective study in south-central China by Zhi Huang, Yan Zhang, Jinlian Wang, Xia Tan, Aiping Zhang

“…Results The ages of pregnant women trended upward from 2018 to 2021. Maternal age had a nonlinear association with birth weight (P for nonlinear = 0.028). …”
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Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods by Özkan Güner, Dursun Eser

“…As a result, these methods can also be applied to other nonlinear fractional differential equations.…”
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Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations by Seyyedeh Roodabeh Moosavi Noori, Nasir Taghizadeh

“…In this work, we study the sufficient condition for convergence of the reduced differential transform method for nonlinear differential equations. The main power of this method is its ability and flexibility in solving linear and nonlinear problems properly and easily and obtain solutions both numerically and analytically. …”
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Fault Feature Extraction of Gear Crack based on QPSO-Volterra by Chen Li, Xiaojuan Wei, Ningzhou Li

“…The simulation results show that the high-order GIRFs are very sensitive to the nonlinear characteristics of the system caused by the gear crack failure, and can effectively characterize and distinguish the nonlinear dynamic characteristics of the gear meshing transmission system under different conditions. …”
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Identification of Industrial Furnace Temperature for Sintering Process in Nuclear Fuel Fabrication Using NARX Neural Networks by Dede Sutarya, Benyamin Kusumoputro

“…Nonlinear system identification is becoming an important tool which can be used to improve control performance and achieve robust fault-tolerant behavior. …”
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Some Novel Solutions to a Quadratically Damped Pendulum Oscillator: Analytical and Numerical Approximations by Alvaro H. Salas, Wedad Albalawi, M. R. Alharthi, S. A. El-Tantawy

“…In this paper, some novel analytical and numerical techniques are introduced for solving and analyzing nonlinear second-order ordinary differential equations (ODEs) that are associated to some strongly nonlinear oscillators such as a quadratically damped pendulum equation. …”
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Statistical properties of dynamical chaos by Vadim S. Anishchenko, Tatjana E. Vadivasova, Galina I. Strelkova, George A. Okrokvertskhov

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Two-Phase Generalized Reduced Gradient Method for Constrained Global Optimization by Abdelkrim El Mouatasim

“…In the Restoration Phase, feasibility is restored by means of the resolution of an auxiliary nonlinear problem, a generally nonlinear system of equations. …”
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A Hybrid Natural Transform Homotopy Perturbation Method for Solving Fractional Partial Differential Equations by Shehu Maitama

“…A hybrid analytical method for solving linear and nonlinear fractional partial differential equations is presented. …”
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Stability, Bifurcation, and Quenching Chaos of a Vehicle Suspension System by Chun-Cheng Chen, Shun-Chang Chang

“…This study investigated the dynamics and control of a nonlinear suspension system using a quarter-car model that is forced by the road profile. …”
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Limit Circle/Limit Point Criteria for Second-Order Sublinear Differential Equations with Damping Term by Jing Shao, Wei Song

“…The purpose of the present paper is to establish some new criteria for the classification of the sublinear differential equation as of the nonlinear limit circle type or of the nonlinear limit point type. …”
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Numerical Investigation of Fractional-Order Differential Equations via φ-Haar-Wavelet Method by F. M. Alharbi, A. M. Zidan, Muhammad Naeem, Rasool Shah, Kamsing Nonlaopon

“…In this paper, we propose a novel and efficient numerical technique for solving linear and nonlinear fractional differential equations (FDEs) with the φ-Caputo fractional derivative. …”
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Dynamic Modeling and Control of Electromechanical Coupling for Mechanical Elastic Energy Storage System by Yang Yu, Zengqiang Mi

“…The theory of direct feedback linearization (DFL) is applied to decouple the nonlinear dynamic model and convert the developed model from nonlinear to linear. …”
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The Influence of Amplitude- and Frequency-Dependent Stiffness of Rail Pads on the Random Vibration of a Vehicle-Track Coupled System by Kai Wei, Pan Zhang, Ping Wang, Junhua Xiao, Zhe Luo

“…The nonlinear curves between the external static loads of Thermoplastic Polyurethane Elastomer (TPE) rail pads and their compressive deformations were measured. …”
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Neimark-Sacker-Turing Instability and Pattern Formation in a Spatiotemporal Discrete Predator-Prey System with Allee Effect by Huayong Zhang, Xuebing Cong, Tousheng Huang, Shengnan Ma, Ge Pan

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Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems by Chanon Promsakon, Sotiris K. Ntouyas, Jessada Tariboon

“…The existence of a unique solution is obtained via Banach contraction mapping principle, while the existence results are established by applying Schaefer and Krasnoselskii fixed point theorems as well as Leray-Schauder nonlinear alternative. Examples illustrating the main results are also constructed.…”
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