Adaptive Model Reference Sliding Mode Control of Structural Nonlinear Vibration by Luyu Li, Naibang Wang, Han Qin

“…In this paper, an active mass damper (AMD) with adaptive control design is used to mitigate the vibrations of a multi-degree-of-freedom (MDOF) nonlinear structure under earthquake excitation. In the adaptive control design, a modified unscented Kalman filter (UKF) is developed to identify the unknown states and parameters adaptively. …”
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Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity by Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane

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A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations by E. H. Doha, D. Baleanu, A. H. Bhrawy, M. A. Abdelkawy

“…We solve three versions of nonlinear time-dependent Burgers-type equations. The Jacobi-Gauss-Lobatto points are used as collocation nodes for spatial derivatives. …”
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On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane by Jurancy Ereú, Liliana Pérez, Luz Rodríguez

“…In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel involved in such equations under which we guarantee the existence and uniqueness in the space of functions of bounded variation in the sense of Shiba on the plane, ΛpBVIab,ℝ.…”
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He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective by Behrouz Raftari

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A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation by Bo Chen, Xiao-Hui Zhou, Li-Wei Zhang, Jie Wang, Wei-Qiang Zhang, Chen Zhang

“…Some classical denoising models are employed to describe the evolution of level set function secondly. The final nonlinear diffusion equation model for noisy image segmentation is built thirdly. …”
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New Nonlinear Conditions and Inequalities for the Existence of Coincidence Points and Fixed Points by Wei-Shih Du, Shao-Xuan Zheng

“…Some new fixed point theorems for nonlinear maps are established. By using these results, we can obtain some new coincidence point theorems. …”
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Incorporation of environmental covariates to nonlinear mixed models describing fruit growth by D. Del Brio, V. Tassile, S.J. Bramardi, P.D. Reeb

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Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence by Wenzhe Xie, Jing Xiao, Zhiguo Luo

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Bifurcation and Nodal Solutions for the Half-Linear Problems with Nonasymptotic Nonlinearity at 0 and ∞ by Wenguo Shen

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On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory by Zujin Zhang, Xiaofeng Wang, Zheng-an Yao

“…We obtain the existence of a weak solution to a fractional nonlinear hyperbolic equation arising from relative theory by the Galerkin method. …”
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On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations by Diyashvir K. R. Babajee, Alicia Cordero, Fazlollah Soleymani, Juan R. Torregrosa

“…This paper focuses on solving systems of nonlinear equations numerically. We propose an efficient iterative scheme including two steps and fourth order of convergence. …”
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Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation by L. J. Shen, J. T. Sun

“…This paper investigates the existence and uniqueness of mild solutions to the general nonlinear stochastic impulsive differential equations. …”
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Robust Nonlinear Partial Least Squares Regression Using the BACON Algorithm by Abdelmounaim Kerkri, Jelloul Allal, Zoubir Zarrouk

“…In addition to the linear form of PLS, there are other versions that are based on a nonlinear approach, such as the quadratic PLS (QPLS2). …”
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ANFIS robust control application and analysis for load frequency control with nonlinearity by Krishna Kumar, Madhulika Das, Amrendra Kumar Karn

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NONLINEAR DYNAMICS OF THE MAGNETIC ROTOR BEARING SYSTEM WITH RUB-IMPACT FORCE by XU Lu, RAO XiaoBo, CHU YanDong

“…In order to investigate the transient nonlinear dynamic behavior in connection to the contract between the auxiliary bearing and magnetic rotor under high-speed rotation,bifurcation diagrams,time responses,Poincaré sections and phrase diagrams are synthetically employed in the present article based on the numerical integration method. …”
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Three-Dimensional Shock Spectrum of Critical Component for Nonlinear Packaging System by Jun Wang, Zhi-Wei Wang, Li-Xin Lu, Yong Zhu, Yong-Guang Wang

“…To evaluate the shock characteristics of critical component for a nonlinear packaging system, a new concept of three-dimensional shock spectrum was proposed. …”
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Nonlinear Finite Element Analysis of the Fluted Corrugated Sheet in the Corrugated Cardboard by Zhiguo Zhang, Tao Qiu, Riheng Song, Yaoyu Sun

“…However the maximum stress and maximum displacement in the models increase nonlinearly in the static pressure test with the increase of the flute angle θ. …”
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Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit by Linrui Li, Shu Wang

“…We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limit α→0+, especially for the mixed boundary conditions; we prove that the thickness of layer is of the order O(α). …”
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Enhancing Ikeda Time Delay System by Breaking the Symmetry of Sine Nonlinearity by Xiaojing Gao

“…The modified Ikeda system model is designed by introducing a superimposed tanh function term into the sine nonlinearity term. Stability and Hopf bifurcation characteristics of the system are analyzed theoretically. …”
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