Nonlinear Noise Compensation in an Integration System of Fiber-Wireless Communication and Free Space Optical Communication by Long Chen, Miao Liu, Zhijun Tang

“…The nonlinear equalizer is employed to compensate the distortion caused by the beating between OFDM signal subcarriers in the combination system. …”
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Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis by Yong-Hua Liu, Ying Feng, Xinkai Chen

“…The output tracking problem for a class of uncertain strict-feedback nonlinear systems with unknown Duhem hysteresis input is investigated. …”
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Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay by Zhongda Lu, Guoliang Zhang, Yi Sun, Jie Sun, Fangming Jin, Fengxia Xu

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Dynamics of Nonlinear Coupled Electrostatic Micromechanical Resonators under Two-Frequency Parametric and External Excitations by Wen-Ming Zhang, Guang Meng, Ke-Xiang Wei

“…It is indicated that the effect of nonlinear squeeze film damping should be considered due to its decreasing the quality factor and changing the nonlinear phenomena of the MEMS resonators.…”
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Bifurcation of a Delayed SEIS Epidemic Model with a Changing Delitescence and Nonlinear Incidence Rate by Juan Liu

“…This paper is concerned with a delayed SEIS (Susceptible-Exposed-Infectious-Susceptible) epidemic model with a changing delitescence and nonlinear incidence rate. First of all, local stability of the endemic equilibrium and the existence of a Hopf bifurcation are studied by choosing the time delay as the bifurcation parameter. …”
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Innovative observer design for nonlinear systems using Caputo fractional derivative with respect to another function by Kareem Alanazi, Omar Naifar, Raouf Fakhfakh, Abdellatif Ben Makhlouf

“…By extending the widely recognized Caputo-Hadamard (CH) fractional-order derivative, we address its utility in nonlinear systems. The core of our contribution is the practical stability for systems governed by this derivative, which ensures convergence toward a bounded region around the origin. …”
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Asymptotic Behavior of the 3D Compressible Euler Equations with Nonlinear Damping and Slip Boundary Condition by Huimin Yu

“…Comparing with linear damping, nonlinear damping can be ignored under small initial data.…”
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Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities by Yipeng Qiu, Yingying Xiao, Yan Zhao, Shengyue Xu

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Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions by Nittaya Pongarm, Suphawat Asawasamrit, Jessada Tariboon

“…This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear q-difference equations with three-point q-integral boundary conditions. …”
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Study of Nonlinear Deformation of FCC-AuCuSi under Pressure by the Statistical Moment Method by Nguyen Quang Hoc, Bui Duc Tinh, Nguyen Duc Hien, Gelu Coman

“…In this work, we build the model and derive the theory of nonlinear deformation for substitutional alloy AB with interstitial atom C and face-centered cubic structure under pressure from the statistical moment method. …”
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Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems by Sami Ud Din, Muhammad Rafiq Mufti, Humaira Afzal, Majid Ali, Muhammad Abdul Moiz Zia

“…This communique presents the Q-S synchronization of two nonidentical complex nonlinear hyperchaotic systems with unknown parameters. …”
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Spatiotemporal Dynamics of a Reaction Diffusive Predator-Prey Model: A Weak Nonlinear Analysis by N. B. Sharmila, C. Gunasundari, Mohammad Sajid

“…We derive the amplitude equation by employing the weak nonlinear multiple scales analysis technique and the Taylor series expansion. …”
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Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems by Xuhui Bu, Fashan Yu, Ziyi Fu, Fuzhong Wang

“…This paper considers the stability of high-order PID-type iterative learning control law for a class of nonlinear switched systems with state delays and arbitrary switched rules, which perform a given task repeatedly. …”
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Explicit Nonlinear Finite Element Geometric Analysis of Parabolic Leaf Springs under Various Loads by Y. S. Kong, M. Z. Omar, L. B. Chua, S. Abdullah

“…In this study, the explicit nonlinear dynamic finite element (FE) method is implemented because of the complexity of experimental testing A series of load cases; namely, vertical push, wind-up, and suspension roll are introduced for the simulations. …”
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Newfangled Linearization Formula of Certain Nonsymmetric Jacobi Polynomials: Numerical Treatment of Nonlinear Fisher’s Equation by W. M. Abd-Elhameed, Afnan Ali, Y. H. Youssri

“…The new formula is employed along with some other formulas and with the utilization of the spectral tau method to obtain numerical solutions to the nonlinear Fisher equation. The presented method is used to convert the equation governed by its underlying conditions into a nonlinear system of equations. …”
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Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Differential Equations by Mujeeb Ur Rehman, Rahmat Ali Khan

“…We study existence of positive solutions to nonlinear higher-order nonlocal boundary value problems corresponding to fractional differential equation of the type 𝑐𝒟𝛿0+𝑢(𝑡)+𝑓(𝑡,𝑢(𝑡))=0, 𝑡∈(0,1), 0<𝑡<1. 𝑢(1)=𝛽𝑢(𝜂)+𝜆2, 𝑢(0)=𝛼𝑢(𝜂)−𝜆1, 𝑢(0)=0, 𝑢(0)=0⋯𝑢(𝑛−1)(0)=0, where, 𝑛−1<𝛿<𝑛, 𝑛(≥3)∈ℕ, 0<𝜂,𝛼,𝛽<1, the boundary parameters 𝜆1,𝜆2∈ℝ+ and 𝑐𝐷𝛿0+ is the Caputo fractional derivative. …”
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Chinaʼs Economic Growth, Energy Efficiency, and Industrial Development: Nonlinear Effects on Carbon Dioxide Emissions by Donghai Zhou, Binxia Chen, Jiahui Li, Yuanying Jiang

“…First, we examined and found that there are two significant structural changes in the CO2 sequence over the years, and there was a significant nonlinear relationship among the four. The first nonlinear structural model constructed is the TVP regression model. …”
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Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium by Alexander I. Zemlyanukhin, Andrey V. Bochkarev, Lev I. Mogilevich, Ekaterina G. Tindova

“…A nonlinear differential equation is derived which describes the propagation of axisymmetric stationary longitudinal-bending waves in infinite cylindrical shell of Timoshenko type, interacting with the external nonlinear elastic medium. …”
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State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method by Fanwei Meng, Yuangong Sun

“…The involved nonlinear disturbance of the system takes more general form including both the internal disturbance and the external disturbance. …”
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A Neural Network Nonlinear Multimodel Ensemble to Improve Precipitation Forecasts over Continental US by Vladimir M. Krasnopolsky, Ying Lin

“…A novel multimodel ensemble approach based on learning from data using the neural network (NN) technique is formulated and applied for improving 24-hour precipitation forecasts over the continental US. The developed nonlinear approach allowed us to account for nonlinear correlation between ensemble members and to produce “optimal” forecast represented by a nonlinear NN ensemble mean. …”
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