Nontrivial Periodic Solutions of an -Dimensional Differential System and Its Application by F. B. Gao

“…It is found that the existent range of periodic solutions for the thin plate system increases along with the increase of the ratio of the modulus of nonlinear term’s coefficient and parametric excitation term, which generalize and improve the corresponding achievements given in the known literature.…”
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Chaotic Dynamics Analysis Based on Financial Time Series by Zheng Gu, Yuhua Xu

“…Secondly, the dynamic system of some nonlinear characteristic data is established according to the Taylor series expansion form, and the corresponding dynamic characteristics are analyzed. …”
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Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach by KumSong Jong, HuiChol Choi, KyongJun Jang, SunAe Pak

“…In this paper, we study the existence and uniqueness of positive solutions to a class of multipoint boundary value problems for singular fractional differential equations with the p-Laplacian operator. Here, the nonlinear source term f permits singularity with respect to its time variable t. …”
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Fuzzy logic based plantwide control applied to ethanol production from potato starch by Amanda Fonseca Oliveira, Félix Rezende Santos, Rodolpho Rodrigues Fonseca

“… Industrial plants dedicated to ethanol production have a large number of interrelated processes and operations with nonlinear dynamics, requiring a process control design method considering plantwide aspects and nonlinear control techniques application, as fuzzy logic, to overcome disturbance effects on process control performance. …”
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Stabilization of Two Electricity Generators by Dany Ivan Martinez, José de Jesús Rubio, Arturo Aguilar, Jaime Pacheco, Guadalupe Juliana Gutierrez, Victor Garcia, Tomas Miguel Vargas, Genaro Ochoa, David Ricardo Cruz, Cesar Felipe Juarez

“…In this research, a sliding mode regulator with sine mapping is suggested for the stabilization of electricity generators being affected by magnet interaction nonlinearities and generator nonlinearities. To reach this goal, our suggested regulator has the following contributions: (a) it starts from the sliding mode regulator with the modifications that the saturation mapping is used to reach a smoother performance instead of the signum mapping, and the sine mapping is applied to reach an upper bound in the proportional gain error, (b) it is used to reach some chosen constant behaviors for the angle position, angle speed, and current in the electricity generators, and (c) its stabilization is ensured based on the Lyapunov approach. …”
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Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations by Zhen Liu, Yingying Wen, Bin Zhao, Chengdong Yang

“…This paper investigates a class of multi-agent systems (MASs) governed by nonlinear fractional-order space-varying partial integro-differential equations (SVPIDEs), which incorporate both nonlinear state terms and integro terms. …”
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A structured model for the spread of Mycobacterium marinum: Foundations for a numerical approximation scheme by Azmy S. Ackleh, Mark L. Delcambre, Karyn L. Sutton, Don G. Ennis

“…The model consists of a system of nonlinear hyperbolic partial differential equations coupled with three nonlinear ordinary differential equations. …”
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Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications by Hemant Kumar Nashine, Sourav Shil, Hiranmoy Garai, Lakshmi Kanta Dey, Vahid Parvaneh

“…Finally, we provide a nontrivial example to validate the sufficient conditions for nonlinear matrix equations with numerical approximations.…”
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Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations by Jie Luo, Jiangtao Guo, Yan Shao, Guangxu Zhao, Min Jiao

“…Firstly, the stochastic Riemann wave equations in quantum mechanics is simplified into nonlinear ordinary differential equation. Secondly, the third-order complete discriminant system is applied to the nonlinear ordinary differential equation, and some traveling wave solutions of stochastic Riemann wave equations are obtained. …”
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Smart Wireless Power Transfer Operated by Time-Modulated Arrays via a Two-Step Procedure by Diego Masotti, Alessandra Costanzo, Vittorio Rizzoli

“…Very promising simulated energy transfer performance of the entire nonlinear radiating system is demonstrated.…”
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A Study on the Convergence of Series Solution of Non-Newtonian Third Grade Fluid with Variable Viscosity: By Means of Homotopy Analysis Method by R. Ellahi

“…This work is concerned with the series solutions for the flow of third-grade non-Newtonian fluid with variable viscosity. Due to the nonlinear, coupled, and highly complicated nature of partial differential equations, finding an analytical solution is not an easy task. …”
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STUDY ON CALCULATION METHOD OF STRESS SEPARATION BY OBLIQUE INCIDENCE TECHNIQUE by LIU XiaoMeng, DAI ShuGuang

“…Considering the experimental data is not accurate,multi-angle oblique incidence established nonlinear overdetermined equations are used to calculate stress components. …”
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Analysis of the Fractional-Order Delay Differential Equations by the Numerical Method by Saadia Masood, Muhammad Naeem, Roman Ullah, Saima Mustafa, Abdul Bariq

“…In this study, we implemented a new numerical method known as the Chebyshev Pseudospectral method for solving nonlinear delay differential equations having fractional order. …”
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Measure Functional Differential Equations in the Space of Functions of Bounded Variation by S. M. Afonso, A. Rontó

“…We establish general conditions for the unique solvability of nonlinear measure functional differential equations in terms of properties of suitable linear majorants.…”
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Application of the dynamical damper in a piecewise linear system by Genovaitė Zaksienė

“… The linear dynamical damper of nonlinear system functions better than in linear system. …”
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Steady Three-Dimensional MHD Mixed Convection Couple Stress Flow of Hybrid Nanofluid with Hall and Ion Slip Effect by Ali Rehman, Waris Khan, Ebenezer Bonyah, Samsul Ariffin Abdul Karim, Ahmed Alshehri, Ahmed M. Galal

“…The transform nonlinear ordinary differential equations are solved by an approximate analytical method. …”
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Influence of Abutment Stiffness and Strength on the Seismic Response of Horizontally Curved RC Bridges in Comparison with Equivalent Straight Bridges at Different Seismic Intensity... by Khashayar Heydarpour, Payam Tehrani

“…First, nonlinear static (pushover) analyses are carried out to evaluate the overall behavior of the bridges with different abutment configurations in the two perpendicular principal directions. …”
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Coupled Vibration Behavior of Hot Rolling Mill Rolls under Multinonlinear Effects by Rongrong Peng, Xingzhong Zhang, Peiming Shi

“…A coupled vibration model of hot rolling mill rolls under multiple nonlinear effects is established by considering the nonlinear spring force produced by the hydraulic cylinder, the nonlinear friction between the work rolls, the dynamic variation of rolling force, and the effect of external excitation as well as according to the structural constraints of a four-high hot rolling mill in the vertical and horizontal directions. …”
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Design of Satellite Attitude Control Algorithm Based on the SDRE Method Using Gas Jets and Reaction Wheels by Luiz C. G. de Souza, Victor M. R. Arena

“…The SDRE controller design takes into account the effects of the plant nonlinearities and system noise which represents uncertainty. …”
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L1 Adaptive Fault-Tolerant Attitude Tracking Control of UAV Systems Subject to Faults and Input Saturation by Yan Zhou, Huiying Liu, Huijuan Guo, Yongjian Chen

“…After the conversion and reorganization of such uncertainties including actuator faults, sensor faults, input saturation, and external disturbances, a nonlinear uncertain system model is developed. Second, a L1 neural network adaptive fault-tolerant controller is designed to deal with uncertainties, where radial basis function neural networks (RBFNNs) are applied to approximate the nonlinear function in the system model. …”
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