On the Fractional View Analysis of Keller–Segel Equations with Sensitivity Functions by Haobin Liu, Hassan Khan, Rasool Shah, A. A. Alderremy, Shaban Aly, Dumitru Baleanu

“…The suggested procedure is very attractive and straight forward and therefore can be modified to solve high nonlinear fractional partial differential equations and their systems.…”
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Bounded Positive Solutions for a Third Order Discrete Equation by Zeqing Liu, Ming Jia, Shin Min Kang, Young Chel Kwun

“…This paper studies the following third order neutral delay discrete equation Δ(anΔ2(xn+pnxn-τ))+f(n,xn-d1n,…,xn-dln)=gn,n≥n0, where τ,l∈ℕ, n0 ∈ℕ∪{0}, {an}n∈ℕn0, {pn}n∈ℕn0, {gn}n∈ℕn0 are real sequences with an≠0 for n≥n0, {din}n∈ℕn0⊆ℤ with lim n→∞(n-din)=+∞ for i∈{1,2,…,l} and f∈C(ℕn0×ℝl,ℝ). By using a nonlinear alternative theorem of Leray-Schauder type, we get sufficient conditions which ensure the existence of bounded positive solutions for the equation. …”
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Neural Network Predictive Control for Vanadium Redox Flow Battery by Hai-Feng Shen, Xin-Jian Zhu, Meng Shao, Hong-fei Cao

“…The vanadium redox flow battery (VRB) is a nonlinear system with unknown dynamics and disturbances. …”
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Intelligent Controller Design for Quad-Rotor Stabilization in Presence of Parameter Variations by Oualid Doukhi, Abdur Razzaq Fayjie, Deok Jin Lee

“…The paper presents the mathematical model of a quadrotor unmanned aerial vehicle (UAV) and the design of robust Self-Tuning PID controller based on fuzzy logic, which offers several advantages over certain types of conventional control methods, specifically in dealing with highly nonlinear systems and parameter uncertainty. The proposed controller is applied to the inner and outer loop for heading and position trajectory tracking control to handle the external disturbances caused by the variation in the payload weight during the flight period. …”
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Research on maximizing energy efficiency for relay-aided D2D communication by Xue WANG, Tao JIN, Zhihong QIAN, Liangshuai HU, Xin WANG

“…In order to optimize the energy efficiency for relay-aided D2D communication underlaying cellular network,an algorithm was proposed while guaranteeing the quality of service of D2D users and cellular users.Firstly,the problem was formulated as a mixed integer nonlinear fractional programming problem,with the goal of maximizing the energy efficiency of all D2D users.Then,the maximizing energy efficiency problem was divided into three sub-problems,such as power allocation,relay selection and subcarrier assignment.Finally,the power allocation problem,the relay selection problem and the subcarrier assignment problem were addressed by Dinkelbach method and Lagrange multiplier method,Q-learning and Hungarian algorithm,respectively.The simulation results show that the proposed algorithm can improve the total energy efficiency of D2D users compared with existing algorithms.…”
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Fault analysis and research of wireless sensor network based on kernel partial least squares by Guang-hai ZHOU, Zhao-long NING, Zhi-kui CHEN, Hua ZHONG, Yue-ming HU

“…With the development of intelligent and networked sensor technology,wireless sensor networks were widely used in human life and commercial fields,because wireless sensor network nodes usually only carry limited resources,it is prone to failures due to insufficient resources,the accurate and timely fault diagnosis of WSN nodes can ensure the reliability of information,thus improving the maintainability of WSN and prolonging the service life of WSN.A method of using kernel partial least squares has been proposed to predict the fault reasons,the method overcomes the defects of traditional linear regression method and the nonlinear high dimensional space for data analysis.Through many experiments,the method can absorb the characteristics of canonical correlation analysis and principal component analysis method,provide a more thorough and rich content analysi,that the reason of the fault can be predicted effectively.…”
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Dynamics Analysis of a Special Differential Gear Transmission System by Kong Guang, Meng Guangyao, Wang Zuojuan, Huang Juxin, Li Zhongzheng

“…Firstly,treating this differential gear transmission system as spring-mass of the nonlinear time-varying system with coulomb damping,a bend-torsion coupled vibration model with 12 DOFs is established. …”
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Deformation Failure Characteristics of Coal Body and Mining Induced Stress Evolution Law by Zhijie Wen, Guanglong Qu, Jinhao Wen, Yongkui Shi, Chuanyang Jia

“…All this indicates that the pore distribution of coal body with different compressed volume has fractal character; it appears to be the linear relationship between propagation range of internal stress field and compressed volume of coal body and nonlinear relationship between the range of outburst coal mass and the number of pores which is influenced by mining pressure. …”
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Steady plastic wave fronts and scale universality of strain localization in metals and ceramics by Yuriy Bayandin, Natalia Saveleva, Oleg Naimark

“…It is shown that spatial-temporal dynamics of collective modes (auto-solitary and blow-up dissipative structures) provide the anomalous relaxation ability of nonlinear system “solid with defects” in the conditions of the specific type of criticality – structural-scaling transition. …”
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Quantification of Sunscreen Benzophenone-4 in Hair Shampoos by Hydrophilic Interactions Thin-Layer Chromatography/Densitometry or Derivative UV Spectrophotometry by Anna W. Sobańska, Katarzyna Kałębasiak, Jarosław Pyzowski, Elżbieta Brzezińska

“…The densitometric calibration curve for BZ4 was nonlinear (second-degree polynomial), with R>0.999. …”
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Characteristic Analysis of the Stick-Slip Vibration of Gear Transmission System in High-speed Train by Li Fuzhong, Huang Guanhua, He Hongyun

“…In order to study the torsional vibration of gear transmission system under slippage in high-speed train.A parametric vibration model of the gear transmission system is developed when the time-varying stiffness and the transmission error are considered.The nonlinear characteristic of selfexcited torsional vibration caused by wheel-rail creepage is analyzed.Numerical simulation results show that the time-varying mesh stiffness of meshing teeth pairs is the main cause of harmonic vibration of gear transmission system,when the wheel-rail creepage is over the best value,the self-excited vibration occurred and gear transmission system have the phenomenon of limited cycle in the same time,the self-excited vibration has no effect on the change of main frequency of the gear transmission system,but the harmonic response become more obvious,cause a strong vibration on the gear transmission system.…”
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Finite-Time Admissibility and Controller Design for T-S Fuzzy Stochastic Singular Systems with Distinct Differential Term Matrices by Liang Qiao, Zhaomin Lv

“…When differential term matrices are allowed to be distinct in fuzzy rules, such fuzzy models can describe a wide class of nonlinear stochastic systems. Using fuzzy Lyapunov function (FLF), a new and relaxed sufficient condition is proposed via strict linear matrix inequalities (LMIs). …”
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Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method by Tao Xu, Haisheng Yu, Jinpeng Yu

“…This work investigates the finite-time control problem for a nonlinear four-tank cross-coupled liquid level system by the port-controlled Hamiltonian (PCH) model. …”
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Kinematics Analysis of a 2PRP_aU-2PSS Parallel Mechanism by Zheng Xin, Du Li, Che Linxian, Li Jie, Huang Xin, Lu Jiahong, Yi Hongyu

“…The mathematical models of displacement and orientation, velocity and acceleration analysis are derived by utilizing the vector method. Meanwhile, the nonlinear equations of forward displacement are transformed into one-dimensional equation, thus using the improved grey wolf optimization algorithm to solve this problem. …”
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Dynamic Model of a Rotating Flexible Arm-Flexible Root Mechanism Driven by a Shaft Flexible in Torsion by S.Z. Ismail, A.A. Al-Qaisia, B.O. Al-Bedoor

“…The obtained model is a nonlinear-coupled system of differential equations. …”
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Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters by M. M. Rashidi, E. Momoniat, B. Rostami

“…The boundary-layer equations are derived by considering Boussinesq and boundary-layer approximations. The nonlinear ordinary differential equations for the momentum and energy equations are obtained and solved analytically by using homotopy analysis method (HAM) with two auxiliary parameters for two classes of visco-elastic fluid (Walters’ liquid B and second-grade fluid). …”
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Influence of Soil-Structure Interaction on the Seismic Response of a Continuous Bridge with Friction Pendulum System by Bing Li, Chong Fu, Guolong Liu, Wei Wei, Junfa Duan, Bin Wang

“…SSI was modelled using the soil resistance vs deflection nonlinear springs (following p-y curves). The influence of SSI on the dynamic behaviour and the seismic response of isolated bridges with different friction coefficients of FPS were investigated using six measured ground motions. …”
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M&A Short-Term Performance Based on Elman Neural Network Model: Evidence from 2006 to 2019 in China by Ming Xiao, Xionghui Yang, Ge Li

“…After comparing the five abnormal return (AR) calculation models, it is found that the commonly used market model method and the market adjustment method have statistical defects while the Elman feedback neural network model is capable of good nonlinear prediction ability. The study shows that M&A can create considerable short-term performance for Chinese listed company shareholders. …”
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Analyzing Axial Stress and Deformation of Tubular for Steam Injection Process in Deviated Wells Based on the Varied (T,P) Fields by Yunqiang Liu, Jiuping Xu, Shize Wang, Bin Qi

“…A new model is multiple nonlinear equation systems by comprehensive consideration of axial load of tubular string, internal and external fluid pressure, normal pressure between the tubular and well wall, and friction and viscous friction of fluid flowing. …”
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Research on Wideband Differential-Mode Current Injection Testing Technique Based on Directional Coupling Device by Xiaodong Pan, Guanghui Wei, Xinfu Lu, Lisi Fan, Xing Zhou

“…The implementation techniques for the single differential-mode current injection method (SDMCI) and the double differential-mode current injection method (DDMCI) are discussed in detail. The typical nonlinear response interconnected systems are selected as the EUT. …”
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