Analysis of the Influence of Excitation Frequency on Nonlinear Dynamics of the Shift Planetary Transmission System by Wu Xiaolong, Du Yaosen, Gao Pengju, Wang Xiaosai

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Solution of the Stochastic Heat Equation with Nonlinear Losses Using Wiener-Hermite Expansion by Mohamed A. El-Beltagy, Noha A. Al-Mulla

“…In the current work, the Wiener-Hermite expansion (WHE) is used to solve the stochastic heat equation with nonlinear losses. WHE is used to deduce the equivalent deterministic system up to third order accuracy. …”
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Application of the Homotopy Perturbation Method to Solve Nonlinear Equations Arising in Oscillatory Systems by Mohammadjavad Mahmoodabadi, Neda Amiri

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Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term by Wenjun Liu

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Nonlinear error modified equalization algorithm in high-order modulation of satellite communication by Cheng-kai TANG, Ling-ling ZHANG, Bao-wang LIAN

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Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales by Mugen Huang, Kunwen Wen

“…In this paper, we study the interval oscillation of a type of forced second-order nonlinear impulsive dynamic equations with changing signs coefficients. …”
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Research on Nanoeffect of Penetration and Consolidation under Nonlinear Characteristics of Saturated Soft Clay by Yu Zhao, Ning Wang, Deying Zhang

“…The effect of the initial permeability coefficient on large deformation consolidation is studied, and the necessity and plausibility of considering the nonlinearity of the compression and permeability coefficient when calculating the soft-land base large deformation consolidation is also studied.…”
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An Improved Nonlinear Settlement Calculation Method for Soft Clay considering Structural Characteristics by Binhui Ma, Zhuo Li, Kai Cai, Zhiyong Hu, Minghua Zhao, Chengbin He, Bingchu Chen, Xiaocheng Huang

“…By introducing the concept of damage ratio, the method for determining the deformation modulus of soil before and after damage under load is presented, and a nonlinear settlement calculation method which considers the structural characteristics of soft clay is proposed. …”
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Combined Nonlinear Analysis of Atrial and Ventricular Series for Automated Screening of Atrial Fibrillation by Juan Ródenas, Manuel García, Raúl Alcaraz, José J. Rieta

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Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear by Rongju Liu, Fuzhong Chen, Yongjun Shi, Yongsheng Zhao

“…Taking spur gear pair as the research object, a 6-DOF coupled bending-torsion nonlinear vibration model including time-varying meshing stiffness, comprehensive error, backlash and input torque is established. …”
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Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities by Mohammed El Mokhtar Ould El Mokhtar

“…This article concerns the existence and the nonexistence of solution for the following boundary problem involving the p-biharmonic operator and singular nonlinearities,  Δp2u=uγ−1u+μu−1−α/xβu in Ω and u=∂u/∂n=0 on ∂Ω, where 4<2p<N,0∈Ω, −∞<μ<μ∗,=N−2p1−α/pN,p<γ<p∗=pN/N−2p  is the critical Sobolev exponent,  0≤β<Nγ+α/γ+1, 0<α<1. …”
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Compact scheme with two-sided estimates for nonlinear convection-diffusion-reaction equations by Chinedu Nwaigwe

Subjects: “…Convection-diffusion equations, nonlinear coefficients, two-sided bounds, experimental order of convergence, consistency, freezing coefficients.…”
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Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System by Huixian Cai, Chaohong Pan, Zhengrong Liu

“…We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system ut+(vm)x=0,vt+a(vn)xxx+buxv+cuvx=0 called D(m,n) system. …”
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Automatic Parking Trajectory Planning Based on Warm Start Nonlinear Dynamic Optimization by Hongbin Ren, Yaqi Niu, Yunong Li, Lin Yang, Hongliang Gao

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Modelling and Regularity of Nonlinear Impulsive Switching Dynamical System in Fed-Batch Culture by Lei Wang

“…To deal with this problem, we consider the switching of alkali pump as an impulsive event and present a nonlinear impulsive switching system to describe the fed-batch culture. …”
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Two-Dimensional Electroosmotic Consolidation Theory of Nonlinear Soil Voltage Distribution Characteristics by Yang Shen, Jianting Feng, Yinghao Ma, Hanlong Liu

“…Electroosmosis results show that soil voltage exhibits nonlinear distribution characteristics against distance from the cathode. …”
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Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate by Liang Chen, Shan Wang

“…In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is studied. Firstly, we provide the condition under which the positive recurrence exists and then give the threshold R0S for disease extinction, that is, when R0S<1, the disease will die out. …”
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Adaptive Control Using Neural Networks and Approximate Models for Nonlinear Dynamic Systems by Khadija El Hamidi, Mostafa Mjahed, Abdeljalil El Kari, Hassan Ayad

“…In this research, a comparative study of two recurrent neural networks, nonlinear autoregressive with exogenous input (NARX) neural network and nonlinear autoregressive moving average (NARMA-L2), and a feedforward neural network (FFNN) is performed for their ability to provide adaptive control of nonlinear systems. …”
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Modeling Coupled Nonlinear Multilayered Dynamics: Cyber Attack and Disruption of an Electric Grid by Marc Mangel, Jimmie McEver

“…We link the physical and cyber systems through a metric of performance of the physical system that depends upon the state of the cyber system using (i) a generic nonlinear relationship between the state of the cyber system and the performance of the physical system and (ii) the synchronous motor model of an electric grid consisting of a utility with many customers whose smart meters can become compromised, in which a steady state in the difference in rotor angles is the metric of performance. …”
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Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading by Liangliang Zhang, Xiaojian Wang

“…To determine the nonlinear creep characteristics of rocks under cyclic loading and unloading conditions, a nonlinear Kelvin model and damage viscoplastic model are proposed. …”
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