Identification of Nonlinear Dynamic Behavior and Failure for Riveted Joint Assemblies by B. Langrand, E. Markiewicz, E. Deletombe, P. Drazétic

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A parallel algorithm for solving one problem of nonlinear optics by Raimondas Čiegis, Genė Kairytė, P. Ratė

“… This paper deals with a system of nonlinear differential equations, which describe the interaction of two focussed laser beams.The problem is approximated by a splitting finite difference scheme. …”
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On iterative solution of nonlinear functional equations in a metric space by Rabindranath Sen, Sulekha Mukherjee

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Nonlinear forced vibration of the FGM piezoelectric microbeam with flexoelectric effect by Lichang Shan, Guangchun Xiao, Anqing Li, Shasha Zhou, Li Wang, Weiguang Su, Yonglong Liu, Lei Yang, Xiaoyue Song

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Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation by Metomou Richard, Weidong Zhao

“…The SADM and LADM methods have been applied to solve nonlinear PDE, but the solution has small convergence radius for some PDE. …”
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Nonlinear Dynamic Characteristics of the Curve-face Gear Transmission System by Liu Jun, Zhang Yanxia, Pan Jiezong, Wang Xuesong

“…In order to study the nonlinear dynamic characteristics of the curve-face gear transmission system and the influence of parameters on the dynamic characteristics of the system, a nonlinear dynamic model of the curve-face gear system is established. …”
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Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation by C. Z. Qian, C. P. Chen, G. W. Zhou

“…Considering the deck vibration effect on the cable in cable-stayed bridge, using nonlinear structure dynamics theory, the nonlinear dynamical equation for the stayed cable excited with deck vibration is proposed. …”
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Existence of Best Proximity Point with an Application to Nonlinear Integral Equations by Shagun Sharma, Sumit Chandok

“…We obtain the existence of a solution for nonlinear integral equations as an application.…”
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Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations by Reza Mokhtari, Fereshteh Toutian Isfahani, Maryam Mohammadi

“…On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented. …”
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On the Nonlinear Behavior of the Piezoelectric Coupling on Vibration-Based Energy Harvesters by Luciana L. Silva, Marcelo A. Savi, Paulo C. C. Monteiro, Theodoro A. Netto

“…Subsequently, numerical simulations are carried out showing different responses of the system indicating that nonlinear piezoelectric couplings can strongly modify the system dynamics.…”
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Synchronization of Chaotic Gyros Based on Robust Nonlinear Dynamic Inversion by Inseok Yang, Dongik Lee

“…The proposed synchronization method is based on nonlinear dynamic inversion (NDI) control. NDI is a nonlinear control technique that removes the original system dynamics into the user-defined desired dynamics. …”
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A Martingale-Free Introduction to Conditional Gaussian Nonlinear Systems by Marios Andreou, Nan Chen

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A Justification of Two-Dimensional Nonlinear Viscoelastic Shells Model by Fushan Li

“…By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional nonlinear viscoelastic shells model satisfied by the leading term of asymptotic expansion of the solution to the three-dimensional equations.…”
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Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion by Tetsutaro Shibata

“…We consider the nonlinear eigenvalue problem Duu′′+λfu=0, u(t)>0, t∈I≔(0,1), u(0)=u(1)=0, where D(u)=uk, f(u)=u2n-k-1+sin⁡u, and λ>0 is a bifurcation parameter. …”
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Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument by Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini

“…We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. …”
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NONLINEAR FREQUENCY SPECTRAL ANALYSIS OF CRACKED ROTOR BASED ON NOFRF by WU HongXia, HAN Jie, CHEN Hong, QIN DongChen

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Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation by Ning Su, Li Zhang

“…As an application, we give the existence for a nonlinear degenerate parabolic equation.…”
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Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process by Amine El Koufi

“…In this work, we study a stochastic SIS epidemic model with Lévy jumps and nonlinear incidence rates. Firstly, we present our proposed model and its parameters. …”
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Study on a Class of Piecewise Nonlinear Systems with Fractional Delay by Meiqi Wang, Wenli Ma, Enli Chen, Yujian Chang

“…In this paper, a dynamic model of piecewise nonlinear system with fractional-order time delay is simplified. …”
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Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations by Tieshan He, Yimin Lu, Youfa Lei, Fengjian Yang

“…This paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation. Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we establish the existence results by using the topological degree and fixed point index theories.…”
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