On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales by Qiao-Luan Li, Wing-Sum Cheung, Xu-Yang Fu

“…We establish some new Lyapunov-type inequalities for two-dimensional nonlinear dynamic systems on time scales. As for application, boundedness of the Emden-Fowler-type equation is proved.…”
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Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters by C. C. Cui, J. K. Liu, Y. M. Chen

“…This paper presents an analytical feature for limit cycle oscillation (LCO) in the nonlinear aeroelastic system of an airfoil, with major emphasis on its applications in LCO quantification. …”
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Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems by Lincheng Zhou, Xiangli Li, Feng Pan

“…This paper focuses on the identification problem of Wiener nonlinear systems. The application of the key-term separation principle provides a simplified form of the estimated parameter model. …”
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On the Investigation of State Space Reconstruction of Nonlinear Aeroelastic Response Time Series by Flávio D. Marques, Eduardo M. Belo, Vilma A. Oliveira, José R. Rosolen, Andréia R. Simoni

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Nonlinear Simulation and Vulnerability Analysis of Masonry Structures Impacted by Flash Floods by Qi Fang, Shuguang Liu, Guihui Zhong, Hong Zhang, Jiyu Liang, Yiwei Zhen

“…This study presented a nonlinear numerical analysis for the interaction between flash floods and masonry structures. …”
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Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model by Kazuki Sone, Motohiko Ezawa, Zongping Gong, Taro Sawada, Nobuyuki Yoshioka, Takahiro Sagawa

“…Abstract Recent studies on topological materials are expanding into the nonlinear regime, while the central principle, namely the bulk–edge correspondence, is yet to be elucidated in the strongly nonlinear regime. …”
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Study on Nonlinear Dynamics Characteristic of Two-stage Planetary Gear Train by Xiaolu Leng, Xiaosun Wang, Chongshan Lu, Shijing Wu

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Frozen Jacobian Multistep Iterative Method for Solving Nonlinear IVPs and BVPs by Fayyaz Ahmad, Shafiq Ur Rehman, Malik Zaka Ullah, Hani Moaiteq Aljahdali, Shahid Ahmad, Ali Saleh Alshomrani, Juan A. Carrasco, Shamshad Ahmad, Sivanandam Sivasankaran

“…In this paper, we present and illustrate a frozen Jacobian multistep iterative method to solve systems of nonlinear equations associated with initial value problems (IVPs) and boundary value problems (BVPs). …”
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Unconventional nonlinear Hall effects in twisted multilayer 2D materials by Mahmut Sait Okyay, Min Choi, Qiang Xu, Adrián Perez Diéguez, Mauro Del Ben, Khaled Z. Ibrahim, Bryan M. Wong

“…Abstract We present the first investigation of unusual nonlinear Hall effects in twisted multilayer 2D materials. …”
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Well-Posed Inhomogeneous Nonlinear Diffusion Scheme for Digital Image Denoising by V. B. Surya Prasath, Arindama Singh

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Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment by Xue-Qin Li, Guang-Chen Bai, Lu-Kai Song, Wei Zhang

“…Given the first-order shear deformation theory and Hamilton principle, the nonlinear partial differential governing equations of motion are derived with considering the von Karman geometric nonlinearity. …”
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Three-Step Block Method for Solving Nonlinear Boundary Value Problems by Phang Pei See, Zanariah Abdul Majid, Mohamed Suleiman

“…We propose a three-step block method of Adam’s type to solve nonlinear second-order two-point boundary value problems of Dirichlet type and Neumann type directly. …”
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Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source by Yulan Wang, Xiaojun Song, Chao Ye

“…This paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction. …”
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A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables by Yong Yan

“…This paper deals with a generalized form of nonlinear retarded Gronwall-Bellman type integral inequality in which the maximum of the unknown function of two variables is involved. …”
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Nonlinear Vibration of a Continuum Rotor with Transverse Electromagnetic and Bearing Excitations by Haiyang Luo, Yuefang Wang

“…The nonlinear vibration of a rotor excited by transverse electromagnetic and oil-film forces is presented in this paper. …”
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Nonlocal Nonlinear Optical Response of Ionic Liquids under Violet Excitation by Cássio E. A. Santos, Márcio A. R. C. Alencar, Pedro Migowski, Jairton Dupont, Jandir M. Hickmann

“…The nonlocal nonlinearity under violet excitation of ionic liquids was investigated using the Z-scan technique. …”
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Experimental Study on Measurement of Drag Coefficient of Sandy Soil Nonlinear Vadose by Yu-ping Xu, Jing-yuan Liu, Xiu-wei Chai, Sha-sha Shi

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Effective Root-Finding Methods for Nonlinear Equations Based on Multiplicative Calculi by Ali Özyapıcı, Zehra B. Sensoy, Tolgay Karanfiller

“…Numerical root-finding methods are essential for nonlinear equations and have a wide range of applications in science and engineering. …”
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Oscillation Theorems for Second-Order Nonlinear Neutral Delay Differential Equations by Tongxing Li, Yuriy V. Rogovchenko

“…We analyze the oscillatory behavior of solutions to a class of second-order nonlinear neutral delay differential equations. Our theorems improve a number of related results reported in the literature.…”
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On Regularization of an Optimal Control Problem for Ill-Posed Nonlinear Elliptic Equations by Peter I. Kogut, Olha P. Kupenko, Rosanna Manzo

“…We discuss the existence issue to an optimal control problem for one class of nonlinear elliptic equations with an exponential type of nonlinearity. …”
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