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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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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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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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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Rogue Waves of Nonlinear Schrödinger Equation with Time-Dependent Linear Potential Function by Ni Song, Yakui Xue

“…The first-order and second-order rogue waves solutions are obtained and the nonlinear dynamic behaviors of these solutions are discussed in detail. …”
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Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems by Thiago P. Chagas, Pierre-Alexandre Bliman, Karl H. Kienitz

“…The approximate Prediction-Based Control method (aPBC) is the continuous-time version of the well-known Prediction-Based Chaos Control method applied to stabilize periodic orbits of nonlinear dynamical systems. The method is based on estimating future states of the free system response of continuous-time systems using the solution from the Runge-Kutta implicit method in real time. …”
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Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems by Min Wu, Zhengfeng Yang, Wang Lin

“…We address the problem of asymptotic stability and region-of-attraction analysis of nonlinear dynamical systems. A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear systems efficiently. …”
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Numerical Analysis on Chaotic Vibration of Drive System for a Movable Tooth Piezoelectric Motor by Chong Li, Jichun Xing, Jiwen Fang, Zhong Zhao

“…The nonlinear dynamic equations of the drive system for movable tooth piezoelectric motor are established. …”
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Nonlocal Boundary Value Problems for q-Difference Equations and Inclusions by Sotiris K. Ntouyas, Jessada Tariboon

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Determination of Damage in Reinforced Concrete Frames with Shear Walls Using Self-Organizing Feature Map by Mehdi Nikoo, Łukasz Sadowski, Faezehossadat Khademi, Mohammad Nikoo

“…For this purpose, a concrete frame with a shear wall was subjected to nonlinear dynamic analysis. The SOFM was optimized using the genetic algorithm (GA) in order to determine the number of layers, number of nodes in the hidden layer, transfer function type, and learning algorithm. …”
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Safe Control for Spiral Recovery of Unmanned Aerial Vehicle by Chang-Jian Ru, Rui-Xuan Wei

“…Then, based on control scheduling of state variables and nonlinear dynamic inversion control laws, the spiral recovery controller is designed to accomplish guidance and control of spiral recovery. …”
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Comparison Criteria for Nonlinear Functional Dynamic Equations of Higher Order by Taher S. Hassan, Said R. Grace

“…The results extend and improve some known results in the literature on higher order nonlinear dynamic equations.…”
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The Existence of Cone Critical Point and Common Fixed Point with Applications by Wei-Shih Du

“…We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem related with Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem. …”
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Dynamic Vibration Absorber with Negative Stiffness for Rotor System by Hongliang Yao, Zidong Chen, Bangchun Wen

“…Then, the structure of the absorber is proposed; the principles and nonlinear dynamic characteristics of the absorber-rotor system are studied numerically. …”
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Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales by Yongkun Li, Chao Wang

“…Finally, as an application of our results, we study the existence of almost periodic solutions for an almost periodic nonlinear dynamic equations on time scales.…”
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