Periodic and Antiperiodic Solutions for a Second-Order Hamiltonian System With Nonlinearity Depending on Derivative by Wenxiong Chen, Shibo Liu

“…Some existence results of periodic solution are obtained for a class of second-order Hamiltonian systems with nonlinearity depending on derivative. We prove that there exists T0>0 such that, for any T<T0, the provided Hamiltonian system has a nontrivial T-periodic and T/2-antiperiodic solution via linking theorem and iteration method.…”
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NONLINEAR MODELING USING CENTRAL COMPOSITION PLAN FOR FORECASTING OF CHARACTERISTICS OF RAW SAND BLEND by M. A. Sajkov, V. M. Karpenko, N. P. Dragun, E. V. Filipenko

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Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control by Kaihong Zhao

“…This manuscript deals with a delayed nonlinear fractional Langevin system with nonsingular exponential kernel. …”
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Nonlinear Seismic Performance Evaluation of Flexural Slotted Connection Using Endurance Time Method by Seyed Mohamad Seyed Kolbadi, Hosein Piri, Ali Keyhani, S.Mahdi Seyed-Kolbadi, Masoud Mirtaheri

“…In the endurance time (ET) method, incremental acceleration functions gradually and uniformly increases over time while their linear and nonlinear response spectra are proportional to the mean of the real seismic spectrum. …”
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Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations by Guo Jiang, Dan Chen, Fugang Liu

“…This article presents the numerical solutions of nonlinear stochastic It o^–Volterra integral equations by using the basis function method under the global Lipschitz condition. …”
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Robust Adaptive Switching Control for Markovian Jump Nonlinear Systems via Backstepping Technique by Jin Zhu, Hongsheng Xi, Qiang Ling, Wanqing Xie

“…This paper investigates robust adaptive switching controller design for Markovian jump nonlinear systems with unmodeled dynamics and Wiener noise. …”
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Influence of Base Tangent Length Deviation on Nonlinear Dynamics Characteristic of Helical Gear System by Yuxi Ma, Siyu Chen, Jinyuan Tang, Weitao Chen

“…Through deducing the formula for calculating the meshing stiffness and meshing clearance under the deviation of the common normal line， the dynamics model of a 12-DOF helical gear transmission system with nonlinear factors such as time-varying mesh stiffness and backlash is established. …”
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Prescribed Performance Tracking Control for Nonlinear Stochastic Time-Delay Systems with Multiple Constraints by Man Zhang, Ru Chang, Ying Wang

“…This paper proposes a prescribed performance tracking control scheme for a category of nonlinear stochastic time-delay systems with input saturation and state asymmetric time-varying constraints. …”
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Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions by Xiaohui Liu, Shuguang Yang, Chuan Wu, Ming Zou, Guangyun Min, Ceshi Sun, Mengqi Cai

“…In order to study the influence of dynamic wind on the nonlinear galloping characteristics of iced transmission lines, an external excitation load is added to the governing equation of iced transmission lines under the condition of stable wind, and a new forced self-excited system has been established. …”
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Nonlinear analysis of reinforced concrete shells and the compressive membrane action on bridge deck slabs by Beatriz da Costa Fernandes, Jordlly Reydson de Barros Silva, Bernardo Horowitz

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Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis by R.A. Borges, A.M.G. de Lima, V. Steffen Jr.

“…However, in the context of nonlinear dynamics, few works have been proposed regarding the robust optimal design of nonlinear dynamic vibration absorbers. …”
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Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities by Youzheng Ding, Jiqiang Jiang, Donal O’Regan, Jiafa Xu

“…In this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.…”
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Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations by Ying Wu, Guodong Han

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Perturbation-induced nonreciprocal transmission in nonlinear parity-time-symmetric silicon micromechanical resonators by Rui Wang, Lei Han, Man-Na Zhang, Li-Feng Wang, Qing-An Huang

“…The presence of the nonlinear gain suppresses the exponential growth mode. …”
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Nonlinear conductive behavior of MoS2/PDMS composites for self-adaptive electrostatic protection by Hongfei Li, Zhaoming Qu, Yazhou Chen, Wei Cao, Kaihui Li

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Analysis of Nonlinear Vibration of Hard Coating Thin Plate by Finite Element Iteration Method by Hui Li, Liu Ying, Wei Sun

“…This paper studies nonlinear vibration mechanism of hard coating thin plate based on macroscopic vibration theory and proposes finite element iteration method (FEIM) to theoretically calculate its nature frequency and vibration response. …”
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Existence and Stability for a Nonlinear Coupled p-Laplacian System of Fractional Differential Equations by Merfat Basha, Binxiang Dai, Wadhah Al-Sadi

“…In this paper, we study the nonlinear coupled system of equations with fractional integral boundary conditions involving the Caputo fractional derivative of orders θ1 and θ2 and Riemann–Liouville derivative of orders ϱ1 and ϱ2 with the p-Laplacian operator, where n−1<θ1,θ2,ϱ1,ϱ2≤n, and n≥3. …”
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Optimal Fitting Method of Nonlinear Simultaneous Equations Considering Structural Tensor Image Modeling by Shiping Zhu

“…For the purpose of resolving the phenomenon of network congestion in the process of many-to-one communication in multimedia networks at present, the optimal fitting method of nonlinear simultaneous equations (OFMNSEs) is applied to the multimedia transmission congestion control system in this paper. …”
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Synchronization in Finite Time of Fuzzy Neural Networks with Hybrid Delays and Uncertain Nonlinear Perturbations by Shuyue Zhao, Kelin Li, Weiyi Hu

“…Taking discrete delays, distributed delays, and uncertain nonlinear perturbations into account in fuzzy cellular neural networks makes the neural system more general than most existing cellular neural networks. …”
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Robust Control Design for the Higher Harmonic Vibration Reduction of a Nonlinear Aeroservoelastic Rotor by Byeonguk Im, Kunhyuk Kong, Wonjong Eun, Sangjoon Shin

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