Buckling suppression of a cantilever structure with a modified fuzzy sliding mode control by Jianhua Pan, Lin Sun, Xiaopei Liu, Yuyuan Zhang, Yili Duo

“…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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Quantum Difference Langevin System with Nonlocal q-Derivative Conditions by Surang Sitho, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon

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Nonlinear Earthquake Analysis of Reinforced Concrete Frames with Fiber and Bernoulli-Euler Beam-Column Element by Muhammet Karaton

“…A beam-column element based on the Euler-Bernoulli beam theory is researched for nonlinear dynamic analysis of reinforced concrete (RC) structural element. …”
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Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales by Weisong Chen, Zhenlai Han, Shurong Sun, Tongxing Li

“…By using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. …”
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Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow by Y. X. Hao, W. Zhang, S. B. Li, J. H. Zhang

“…Here, Galerkin’s method is employed to discretize this continuous nonlinear dynamic system to ordinary differential governing equations involving two degrees of freedom. …”
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Heterogeneous Fundamentalists in a Continuous Time Model with Delays by Luca Gori, Luca Guerrini, Mauro Sodini

“…We develop a continuous time model with heterogeneous fundamentalists, imitators, and discrete time delays. We show that nonlinear dynamic phenomena, such as coexistence of attractors and local and global bifurcations, occur due to the existence of a time gap in the process of adjustment of market prices.…”
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Transmission Error Analysis and Disturbance Optimization of Two-Stage Spur Gear Space Driven Mechanism with Large Inertia Load by Jianfeng Ma, Chao Li, Lingli Cui

“…For the nonlinear disturbance actual issues of the model space drive mechanism two-stage spur gear system, a nonlinear dynamic model of 14-DOF (degree of freedom) two-stage spur gear with time-varying stiffness and damping was established. …”
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A Comparison Study on Co- and Counterrotating Dual-Rotor System with Squeeze Film Dampers and Intermediate Bearing by Fei Wang, Gui-Huo Luo, Shu Yan, Hai-Tao Cui

“…Nonlinear dynamic model of a coaxial rotor system was established with a method combining the finite element method and the fixed interface modal synthesis method. …”
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Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay by S. J. Sadati, D. Baleanu, A. Ranjbar, R. Ghaderi, T. Abdeljawad (Maraaba)

“…Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and engineering. …”
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Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity by Jyotirmay Das Mandal, Ujjal Debnath

“…So, we have applied the theory of nonlinear dynamical system. We have noticed that very few papers are devoted to this kind of study. …”
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The Impact of Non-constant Inertia and Nonlinear Damping on the Torsional Vibration Characteristics of Internal Combustion Engine Including External Forces by Hameed D. Lafta

“…An accurate and sophisticated nonlinear dynamic model overcomes the obvious simulation errors of linearized models. …”
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Coupling Dynamic Behavior Characteristics of a Spacecraft Beam with Composite Laminated Structures and Large-Scale Motions by Bindi You, Zhihui Gao, Jianmin Wen, Yiming Sun, Peibo Hao, Dong Liang

“…A nonlinear dynamic modeling method for a spacecraft body composed of a laminated composite beam undergoing large rotation is proposed in this paper. …”
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Head Injury Reduction in Automobile Pedestrian Impact by David R. Lemmon, Ming-yi Wu, Ronald L. Huston

“…The procedures and analysis are conducted using a nonlinear dynamic finite element program for an Oldsmobile Ciera hood and a Ford Taurus hood/fender.…”
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Solutions to Lyapunov stability problems: nonlinear systems with continuous motions by Ljubomir T. Grujic

“…The necessary and sufficient conditions for accurate construction of a Lyapunov function and the necessary and sufficient conditions for a set to be the asymptotic stability domain are algorithmically solved for a nonlinear dynamical system with continuous motions. The conditions are established by utilizing properties of o-uniquely bounded sets, which are explained in the paper. …”
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A multi-base harmonic balance method applied to Hodgkin-Huxley model by Aymen Balti, Valentina Lanza, Moulay Aziz-Alaoui

“…Our aim is to propose a new robust and manageable technique, called multi-base harmonic balance method, to detect and characterize the periodic solutions of a nonlinear dynamical system. Our case test is the Hodgkin-Huxley model, one of the most realistic neuronal models in literature. …”
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Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales by S. H. Saker

“…Our aim in this paper is to establish some explicit bounds of the unknown function in a certain class of nonlinear dynamic inequalities in two independent variables on time scales which are unbounded above. …”
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Vessel-Bridge Collision Reliability Assessment Based on Structural Dynamic Analysis by Fu Tao, Ren Xiaoqian, Wang Kai

“…This method combines the method of moments with nonlinear dynamic finite element analysis, which can enhance the efficiency of calculating failure probability.…”
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Optimal Design of Structures under Impact Loading by Uwe Schramm, Walter D. Pilkey

“…The structural behavior is nonlinear dynamic. Optimization is performed using the approximation concept. …”
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Simulation and Dynamic Response Analysis of Gear Nonlinear System by Xiao Weizhong, Chen Haixu, Yan Shidang, Zhi Yanfeng, Yu Feipeng

“…By using the Runge-Kutta method of MATLAB/Simulink,the simulation solution of the nonlinear dynamic model of gear clearance is carried out. …”
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Stability and Bifurcation Analysis of a Three-Dimensional Recurrent Neural Network with Time Delay by Yingguo Li

“…We consider the nonlinear dynamical behavior of a three-dimensional recurrent neural network with time delay. …”
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