Global Dynamics of Secondary DENV Infection with Diffusion by A. M. Elaiw, A. S. Alofi

“…The model includes five nonlinear PDEs describing the interaction among the target cells, DENV-infected cells, DENV particles, heterologous antibodies, and homologous antibodies. …”
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Cross-domain task offloading and computing resource allocation for edge computation in industrial Internet of things by Peng ZHOU, Jincheng XU, Bo YANG

“…In the industrial Internet of things,limited by the computing capacity of field devices,the task offloading based on edge computing can effectively alleviate the computing burden of field devices and provide low-latency computing services.Moreover,because the load of edge servers are different in different areas of the network,it is necessary to reasonably arrange task offloading and allocate computing resources of edge servers,thereby reducing task completion delay and achieving load balance.Thus,the task offloading and resource allocation for edge computing in the industrial Internet of things was studied,a cross-domain offloading model for computing tasks in the industrial Internet of things was proposed,and a mixed integer nonlinear optimization problem that minimizes task completion time was formulated.The problem was decomposed it into two sub-problems of resource allocation and task offloading,based on the characteristics of the two sub-problems,the optimal solution of resource allocation and task offloading strategy were obtained through iterative and alternating solution.The experimental results show that compared with the non-cross-domain strategy,the load imbalance of the edge server and the task completion delay are reduced effectively by the proposed strategy.…”
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The Role of the Dominant Modes of Precipitation Variability over Eastern Africa in Modulating the Hydrology of Lake Victoria by Kara A. Smith, Fredrick H. M. Semazzi

“…The relationship between ENSO and other significant modes of precipitation variability with Lake Victoria levels is nonlinear. This relationship should be studied to determine which modes need to be accurately modeled in order to accurately model Lake Victoria levels, which are important to the hydroelectric industry in East Africa. …”
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Dynamic Contact Analysis of Torus-involute Gear by Fang Meijuan, Liu Lei

“…Taking the torus-involute gear as study object,according to the theory of gear meshing and the gear hobbing process,the tooth surface equations of torus-involute gears with convex and concave teeth are derived by using the tooth surface equation of counterpart rack.According to the mathematical conditions of neither undercutting nor tooth pointing,based on MATLAB,the Graphical User Interface which contains geometric parameter designs of torus-involute gear is developed.In the light of the tooth surface equations of torus-involute gear,the three-dimensional coordinates of torus-involute gear are calculated which can be used to develop the3-D solid models.The Hypermesh is used to mesh the 3-D models of torus-involute gear.Based on the nonlinear contact algorithm,the finite element models of convex and concave torus-involute gears meshing are established which can be used to implement the dynamic contact analysis in ABAQUS.The results reveal that the width of torus-involute gears is limited by gear undercutting or tooth pointing and the maximum contact stress will be steady after hobbing for a while.The contact stress is small when just a pair of gear teeth are meshing,while the contact stress is large when two pairs of gear teeth are meshing.…”
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Bearing fault diagnosis method based on SAVMD and CNN by SONG ChunSheng, LIANG YaRu, LU NiFang, DU Gang, JIA Bo

“…Non-stationary and nonlinear vibrating signals in rotating mechanical equipment are always disturbed by noises from working environment and other devices. …”
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Absolute Instantaneous Optimal Control Performance Index for Active Vibration Control of Structures under Seismic Excitation by Arcan Yanik

“…However, the resulting performance index does not require a priori knowledge of the seismic excitation like the LQR. The nonlinear Riccati matrix equation solution of the LQR is not required in the proposed performance index as well.…”
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Algorithm study of digital HPA predistortion using one novel memory type BP neural network by Chun-hui HUANG, Yong-jie WEN

“…Based on the characteristic analysis of the high power amplifier (HPA) in wide-band CMMB repeater stations,a novel neural network was proposed which can respectively process the memory effect and the nonlinear of power amplifier.The novel model based on real-valued time-delay neural networks(RVTDNN) uses the Levenberg-Marquardt (LM) optimization to iteratively update the coefficients of the neural network.Due to the new parameters w⁰in the novel NN model,the modified formulas of LM algorithm were provided.Next，in order to eliminate the over-fitting of LM algorithm,the Bayesian regularization algorithm was applied to the predistortion system.Additionally,the predistorter of CMMB repeater stations based on the indirect learning method was constructed to simulate the nonlinearity and memory effect of HPA.Simulation results show that both the NN models can improve system performance and reduce ACEPR (adjacent channel error power ratio ) by about 30 dB.Moreover,with the mean square error less than 10⁻⁶,the coefficient of network for FIR-NLNNN is about half of that for RVTDNN.Similarly,the times of multiplication and addition in the iterative process of FIR-NLNNN are about 25% of that for RVTDNN.…”
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Hydraulic and Mechanical Relationship of Individual Fracture in Rock under Compression and Shearing: Theoretical Study by Zhiqiang Zhou, Yu Zhao, Chaolin Wang

“…Considering that the closure process of rough fracture subjected to normal stress can be divided into two phases (linear behavior and nonlinear behavior), a relationship between normal stress and fracture aperture is derived through the minimum potential energy principle. …”
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On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems by Bor-Sen Chen, Xiangyun Lin, Weihai Zhang, Tianshou Zhou

“…The system entropy and the energy dissipativity of nonlinear stochastic biological systems are also discussed and compared based on a global linearization method. …”
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Service Arms with Unconventional Robotic Parameters for Intricate Workstations: Optimal Number and Dimensional Synthesis by Satwinder Singh, Ekta Singla

“…For each iteration of the upper level, a constrained nonlinear problem is solved for dimensional synthesis of the manipulator. …”
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Approximate Symmetries Analysis and Conservation Laws Corresponding to Perturbed Korteweg–de Vries Equation by Tahir Ayaz, Farhad Ali, Wali Khan Mashwani, Israr Ali Khan, Zabidin Salleh, Ikramullah

“…The Korteweg–de Vries (KdV) equation is a weakly nonlinear third-order differential equation which models and governs the evolution of fixed wave structures. …”
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Birotor Coaxial Model Estimation using Different Influence Function of Cultural Algorithm by Azegmout Mohamed, Mjahed Mostafa, El Kari Abdeljalil, Ayad Hassan

“…In this case, we are utilizing Situational and Normative knowledge sources, evaluating the efficacy of the proposed techniques is believed to depend on applying these tactics to uncover the coaxial birotor’s autonomous complicated and nonlinear dynamics. The coaxial birotor model’s parameters are retrieved using intelligent CA-(NS), CA-(SD), CA-(SD+NS), and CA-(ND+NS) techniques after the birotor dynamic modeling is defined using the Newton-Euler formalism. …”
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The Impact of Service and Channel Integration on the Stability and Complexity of the Supply Chain by Jianheng Zhou, Xingli Chen

“…In two dynamic models, we analyze the influence of relevant parameters on the stability and complexity of the dynamic system and system profit by nonlinear system theory and numerical simulation. We find that the higher adjustment parameters can cause the system to lose stability, showing double period bifurcation or wave-shape chaos. …”
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Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces by Junaid Ahmad, Kifayat Ullah, Hüseyin Işik, Muhammad Arshad, Manuel de la Sen

“…We consider the class of mappings endowed with the condition E in a nonlinear domain called 2-uniformly convex hyperbolic space. …”
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Optimal Design of the Rear Leg Mechanism of Climbing Wheelchair by Li Can, Liu Zengbao, Lu Jianjun, Fan Liubin, Jia Lixiang

“…The rear leg mechanism of climbing wheelchair is the typical planar 2 degrees of freedom fivebar linkages,in order to improve the motion performance of the wheelchair,based on the kinematic analysis and the stress analysis on the key point of the rear leg,taking the length of two side links and one linkage of the five bar linkage as the design variable,the mean of the parallel mechanism Jacobian condition number as the objective function,the constraint conditions are given,and the nonlinear genetic algorithm are used to the optimization design of wheelchair rear leg mechanism. …”
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A Search Method of NN Reducer’s Transmission Ratio by Yifei Lin, Honghua Zhao, Hongkai Wang, Yan Hu, shouyin Lu, Hui Zhang

“…The transmission ratio of NN reducer is discrete and nonlinear, and the gear matching method determines the volume and stability of a reducer. …”
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Model Predictive Control for Load Frequency Control with Wind Turbines by Yi Zhang, Xiangjie Liu, Yujia Yan

“…The scheme incorporates the two critical nonlinear constraints, for example, the generation rate constraint (GRC) and the valve limit, into convex optimization problems. …”
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CREEP DAMAGE CONSTITUTIVE MODEL OF FE-CR-NI BASED AUSTENITIC STAINLESS STEEL by GUO XiaoFeng, LIU BenXin, NAN NingNing, GONG JianMing, DONG ZhiMing

“…Compared with the failure time predicted by the widely used power law model（Kachanov-Robotnov model and Liu-Murakami model）, the prediction results of the current model can reflect the nonlinear relationship between stress and creep rupture time under double logarithmic coordinates in a wide stress range, so the prediction results are more reasonable.…”
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Sensitivity Analysis of the Coupled Dynamic Behavior of Vehicles in Collision with Semirigid Guardrails by Chun Liu, Hong-Jun Liao, Jun Chen, Qian-Qian Deng

“…This model comprehensively integrates the nonlinear dynamic behavior of both the vehicle body and the guardrail structure. …”
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The Effects of MHD Flow and Heat Transfer for the UCM Fluid over a Stretching Surface in Presence of Thermal Radiation by M. Subhas Abel, Jagadish V. Tawade, Jyoti N. Shinde

“…The governing system of partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and is solved numerically by efficient shooting technique. …”
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