Study on energy saving strategy and Nash equilibrium of base station in cognitive radio network by Xiao-tong MA, Shun-fu JIN, Jian-ping LIU, Zhan-qiang HUO

“…From the perspective of economics, a profit function was constructed and a nonlinear optimization algorithm was designed to investigate the Nash equilibrium and the socially optimal behavior of the secondary user packets, then a pricing policy of licensed spectrum for secondary users was formulated. …”
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Dynamic processes during accretion into a black hole by G. S. Bisonvatyi-kogan

“…Sources of turbulence in the accretion disc are discussed, including nonlinear hydrodynamic turbulence, convection and magnetic filed role. …”
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MIMO With 1-b Pre/Postcoding Resolution: A Quantum Annealing Approach by Ioannis Krikidis

“…To further improve the efficiency of the D-WAVE quantum device, a new preprocessing technique, which preserves the quadratic QUBO matrix from the detrimental effects of the Hamiltonian noise through nonlinear companding, is proposed. The proposed preprocessing technique significantly improves the quality of the D-WAVE solutions as well as the occurrence probability of the optimal solution.…”
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The Supply Chain Triangle: How Synchronisation, Stability, and Productivity of Material Flows Interact by Florian Klug

“…These models allow us to take into account the nonlinear, dynamical interactions of different supply chain echelons and to test synchronised and stable flow with respect to its potential impacts. …”
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Higher-Order Expansions for Estimators in the Presence of Nuisance Parameters by Paul Rilstone

“…Higher-order asymptotic methods for nonlinear models with nuisance parameters are developed. …”
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Machine Learning Approach: Prediction of Surface Roughness in Dry Turning Inconel 625 by A. S. Rajesh, M. S. Prabhuswamy, M. Rudra Naik

“…Furthermore, the estimation of surface roughness is carried out using a machine learning-based model-feed forward (nonlinear autoregressive network) NARX network, and the evaluated surface roughness is compared with the values predicted by the regression model and experimental results. …”
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Stability Analysis for Viral Infection Model with Multitarget Cells, Beddington-DeAngelis Functional Response, and Humoral Immunity by Xinxin Tian, Jinliang Wang

“…The incidence rate of infection is given by nonlinear incidence rate, Beddington-DeAngelis functional response. …”
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Analysis of Free Pendulum Vibration Absorber Using Flexible Multi-Body Dynamics by Emrah Gumus, Atila Ertas

“…In this paper, the beam-tip mass-free pendulum structure is treated as a flexible multibody dynamic system and the ANCF formulation is used to demonstrate the coupled nonlinear dynamics of a large deflection of a beam with an appendage consisting of a mass-ball system. …”
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Simulation Analysis of Churning Loss of Internal Cavity Structure of Gearbox based on MPS Method by Dong Guo, Dongyuan Luo, Fangchao Chen

“…The analysis results show that the churning loss has a non-linear positive correlation with the axial clearance，but when the axial clearance reaches a certain value，it has almost no effect on the churning loss； it has a nonlinear negative correlation with the radial clearance，and as the radial clearance increases，its downward trend becomes smaller； the oil baffle and oil collecting groove structure can reduce the churning loss，and with the increase of its length，the effect becomes more significant； the streamlined cavity and the arc-shaped cavity increase the churning loss to a certain extent.…”
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Conjugate Natural Convection: A Study of Optimum Fluid Flow and Heat Transfer in Eccentric Annular Channels by Ahmad Jamal, Esmail M. A. Mokheimer

“…Results reveal that the optimum conductivity ratio and cylinder walls thicknesses increase nonlinearly with eccentricity and radius ratio. Such results can be very useful in effectively designing the heat transfer equipment for optimum performance.…”
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Condition Monitoring of Gearbox based on Statistical Linguistic Analysis of Time Series by Lin Jinshan, Kou Xinglei, Dou Chunhong, Liu Bingqiang

“…The vibration data from defective gearboxes generally exhibit non- stationary and nonlinear property. As a result,it seems hard to effectively monitor the running status of gearbox by using the conventional time domain statistical parameters method which is based on stationary and linear theory. …”
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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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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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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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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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Dynamic Analysis on the Transmission Gear System of the Cutter Head Main Drive of Large Shield Machines by Deng Shuzhi, Xu Lixin, Du Zhengzhu, Long Bin, Su Cuixia

“…Considering the influence of the nonlinear factors such as time-varying meshing stiffness, gear transmission error and gear clearance, the model analyzes the time-frequency dynamic response characteristics of the transmission system under the action of multi-source driving torque in actual driving conditions. …”
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