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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A Vector Bond Graph Method of Dynamics Modeling for Planar Multi-body Systems with Grooved Sheave by Wang Zhongshuang, Zhao Yanwei, Xu Changshun

“…For the algebraic difficulties brought by differential causality and nonlinear junction structure in dynamics modeling of the planar multi-body systems,the effective decoupling method is proposed. …”
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Solutions of the Force-Free Duffing-van der Pol Oscillator Equation by Najeeb Alam Khan, Muhammad Jamil, Syed Anwar Ali, Nadeem Alam Khan

“…A new approximate method for solving the nonlinear Duffing-van der pol oscillator equation is proposed. …”
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Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations by Yunfei Li, Shoufu Li

“…The methods and theories presented in this paper are applicable to nonneutral, nonstiff, and nonlinear initial value problems in ODEs, Volterra delay differential equations (VDDEs), Volterra integro-differential equations (VIDEs), Volterra delay integro-differential equations (VDIDEs), etc. …”
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On Fractional Diffusion Equation with Caputo-Fabrizio Derivative and Memory Term by Binh Duy Ho, Van Kim Ho Thi, Long Le Dinh, Nguyen Hoang Luc, Phuong Nguyen

“…In this paper, we examine a nonlinear fractional diffusion equation containing viscosity terms with derivative in the sense of Caputo-Fabrizio. …”
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Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity by M. B. K. Moorthy, K. Senthilvadivu

“…The governing equations of continuity, momentum, energy, and concentrations are transformed into nonlinear ordinary differential equations, using similarity transformations, and then solved by using Runge-Kutta-Gill method along with shooting technique. …”
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Turing Patterns in a Predator-Prey System with Self-Diffusion by Hongwei Yin, Xiaoyong Xiao, Xiaoqing Wen

“…For this, we investigate Turing instability for a predator-prey system with nonlinear diffusion terms including the normal diffusion, cross-diffusion, and self-diffusion. …”
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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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Solvability of an Integral Equation of Volterra-Wiener-Hopf Type by Nurgali K. Ashirbayev, Józef Banaś, Agnieszka Dubiel

“…The paper presents results concerning the solvability of a nonlinear integral equation of Volterra-Stieltjes type. …”
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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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A novel motion control approach for tethered wheeled mobile robot on extreme terrain by Xiaotao Wang, Xingyu Wang, Jiayou Zhang

“…In the proposed approach, the optimal distribution of the tether tension and the torque to drive the left and right wheels of the tethered robot is obtained based on the minimization of the system power consumption when the robot traveling on the extreme terrains. In addition, a nonlinear disturbance observer is integrated into the dynamic controller to estimate the disturbance from the rugged terrains. …”
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Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems by M. A. Hussain, Jarinah Mohd Ali, M. J. H. Khan

“…This paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov’s direct method. …”
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Implementation of a Fuzzy TSK Controller for a Flexible Joint Robot by M. E. Akbari, M. A. Badamchizadeh, M. A. Poor

“…The flexibility of joint is performed by means of a solenoid nonlinear spring, which is connected between actuator output and joint input in a bilateral connection form to transfer the produced torque; also the smooth model of frictions is used for modeling the dynamics of flexible manipulator. …”
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Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators by Gerold Baier, Sven Sahle

“…We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. …”
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Research on the time-varying charging and dynamic data routing strategy for rechargeable wireless sensor networks by Jiang-hong HAN, Xu DING, Lei SHI, Dong HAN, Zhen-chun WEI

“…The energy problem of wireless sensor networks could be solved by recharging sensor nodes periodically through the wireless energy transfer technique,which ld made sensor nodes remain optional persistently.However,appropriate charging and routing strategies were also in great needs.According to the optimization object of maximizing the vacation time ratio of a wireless charging equipment,the continuous time-varying model,the discrete (N+1)-phased nonlinear model and the solvable discrete (N+1)-phased linear model for the charging and routing strategy were proposed successively.The feasibility of these models was proved as well.In conclusion,after solving the last proposed model,the optimized charging and routing strategies were obtained for networks in different scales.…”
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The Evolutionary p(x)-Laplacian Equation with a Partial Boundary Value Condition by Huashui Zhan, Zhen Zhou

“…Since the equation is nonlinear, the partial boundary value condition cannot be depicted by Fichera function. …”
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Application of Improved Multi-objective Differential Evolution Algorithm in the Optimal Operation of Reservoirs by SUN Qiurong, LI Yong, TANG Qian, WU Shaofei

“…The multi-objective optimal operation of reservoirs is a complex system optimization,and it belongs to the scope of high-dimension,multi-constraint,and nonlinear optimization.The intelligent optimization algorithm has the shortcomings of less non-inferior solutions,uneven distribution and non-convergence when solving the multi-objective optimal operation of reservoirs.Based on the above problems,this paper proposes a new idea to improve the multi-objective differential evolution algorithm by adding the elite retention mechanism and maintaining the external elite set with the crowding distance,establishes the multi-objective optimal operation model for reservoirs,and applies it for realizing the multi-objective optimal operation of Zhanghe Reservoir.The results show that the algorithm can obtain non-inferior solution set with uniform distribution,which proves that it is effective in multi-objective optimal operation of reservoirs.…”
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First-Train Timetable Synchronization in Metro Networks under Origin-Destination Demand Conditions by Hetian Chai, Xiaopeng Tian, Huimin Niu

“…Subjected to train operation and connection constraints, a biobjective nonlinear integer programming model is formulated to minimize the total travel time of OD-dependent passenger demands and the deviation between the known and expected schedules. …”
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Spectral study of COVID-19 pandemic in Japan: The dependence of spectral gradient on the population size of the community. by Ayako Sumi, Masayuki Koyama, Manato Katagiri, Norio Ohtomo

“…The results confirm that the power spectral densities (PSDs) of the data from each prefecture show exponential characteristics, which are universally observed in the PSDs of time series generated by nonlinear dynamical systems, such as the susceptible/exposed/infectious/recovered (SEIR) epidemic model. …”
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MAXIMUM POWEWR POINT TRACKING SYSTEM FOR PHOTOVOLTAIC STATION: A REVIEW by I. Elzein

“…Moreover, the solar cell V-I characteristic is nonlinear and varies with irradiation and temperature. …”
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