Interval Shannon Wavelet Collocation Method for Fractional Fokker-Planck Equation by Shu-Li Mei, De-Hai Zhu

“…Metzler et al. introduced a fractional Fokker-Planck equation (FFPE) describing a subdiffusive behavior of a particle under the combined influence of external nonlinear force field and a Boltzmann thermal heat bath. …”
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VB-Based Gaussian Sum Cubature Kalman Filter for Adaptive Estimation of Unknown Delay and Loss Probability by Ruipeng Wang, Xiaogang Wang, Haojie Zhang

“…Therefore, a variational Bayesian- (VB-) based Gaussian sum cubature Kalman filter is proposed to solve the nonlinear tracking problem of multistep random measurement delay and loss (MRMDL) with unknown probability. …”
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Simulation-based high-speed elongational rheometer for Carreau-type materials by Lukas Kannengießer, Walter Arne, Alexander Bier, Nicole Marheineke, Dirk W. Schubert, Raimund Wegener

“…The parametrically described material law for the elongational viscosity implies a nonlinear optimization problem for the parameter identification, for which we propose an efficient, robust gradient-based method. …”
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ANALYSIS OF SIMPLE LIFTING TYPE STEREO PARKING FRAME OF INTELLIGENT MECHANICS by MAO Jun, DONG XianRui, XIE Miao, YAN JiangLong, BAI YaJing

“…Deformation of the frame belongs to the nonlinear structure problem. First established the mechanical model framework to solve the deformation of frame,and caculated the overturning moment,bearing force,the strength of the frame.Second using finite element analysis software ANSYS-workbench module to the rotary column in the 0°and 90°two condition of the framework for the calculation of mechanical property simulation,in order to obtained the deformation amount,the deformation direction the principal stress and the maximum stress position under the two conditions. …”
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Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations by Jian-ming Qi, Fu Zhang, Wen-jun Yuan, Zi-feng Huang

“…The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all rational and simply periodic traveling wave exact solutions of the equations (BLP) are solitary wave solutions, the complex method is simpler than other methods, and there exist some rational solutions ur,2(z) and simply periodic solutions us,2–6(z) which are not only new but also not degenerated successively by the elliptic function solutions. …”
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Improved Finite Control Set Optimal Control for PMSM in Rocket Launcher Servo System by Di-fen Shi, Yuan-long Hou, Xiao-hui Gu, Run-min Hou

“…Moreover, in order to improve tracking accuracy, Taylor’s formula is used to solve the phase-lag problem of nonlinear tracking differentiator in IFCSOC. Simulation shows that compared with conventional FCSOC, IFCSOC exhibits better robustness under random disturbances. …”
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Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model by Yuqian Deng, Xiuxiong Liu, Yongping Zhang

“…Fractal theory is a branch of nonlinear scientific research, and its research object is the irregular geometric form in nature. …”
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Adaptive Neural Network Motion Control of Manipulators with Experimental Evaluations by S. Puga-Guzmán, J. Moreno-Valenzuela, V. Santibáñez

“…A nonlinear proportional-derivative controller plus adaptive neuronal network compensation is proposed. …”
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Load Estimation of Complex Power Networks from Transformer Measurements and Forecasted Loads by Haina Rong, Francisco de León

“…A power-temperature curve, a nonlinear function, is obtained to forecast loads as the temperature varies. …”
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Analysis of the Influence of Meshing Error and Phase Angle on Load Sharing Characteristic of Compound Planetary Gear Train by Zhou Lu, Wu Shijing, Li Jing, Wang Xiaosun, Zhu Weilin

“…Taking the compound planetary gear train as research object,a nonlinear translation- torsion coupled dynamics model is established for compound planetary gear train considering the time- varying meshing stiffness,gear backlash and synthetic meshing errors,and the impact of installation error,eccentric error and the phase angle of them on the load sharing characteristic is analyzed. …”
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Application of HEC-HMS Model in Flood Simulation of Qingshan River Basin by PENG Chujie

“…It is more and more important to realize the fast simulation of flood process in the early warning of mountain flood disaster in small and medium river basins.This paper builds a distributed hydrological model for Qingshan River Basin by combining HEC-HMS model with GIS technology,extracts the characteristics of river system and conducts gridding on small basin based on DEM data,calculates the surface runoff by initial and constant loss method and Snyder unit hydrograph method,simulates the process of base flow recession through nonlinear boussinesq method,conducts the channel routing by Muskingum method,calibrates the parameters with the past 5 measured flood data,as well as verifies the prediction results by 13 floods.The simulation results show that during the verification period,the errors of peak discharge are all within 20%,the time difference for peaks is less than 3 h,the certainty coefficient is less than 0.7 for only 2 floods,and above 0.7 for others.The results show that with high accuracy and stability,the HEC-HMS model for flood simulation in this river basin conforms to the requirements of the flood forecast,which is of great application value for the exploration of small basin flood simulation and analysis.…”
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Research of the Rolling Bearing Fault Feature Extraction Technology based on the Wavelet Noise Reduction and RSSD by Chen Baojia, Yan Wenchao, Wu Zhiping, Zhu Chenxi

“…The rolling bearing fault vibration signals are nonlinear and non- stationary and have strong noise background,in order to extract the fault feature effectively,a feature extraction technology which combines wavelet denoising and resonance- based sparse signal decomposition（ RSSD） is proposed. …”
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Optimal Method for Allocation of Tractors and Trailers in Daily Dispatches of Road Drops and Pull Transport by Hao Chen, Wenxian Wang, Birong Cheng, Min Zhou

“…Focusing on this mixed integer nonlinear problem, an improved ant search algorithm is designed. …”
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Charged superradiant instability in a spherical regular black hole by Yizhi Zhan, Hengyu Xu, Shao-Jun Zhang

“…Our analysis offers further insights into the possible emergence of this instability in spherical regular black holes and its association with the nonlinear effects of the electromagnetic field.…”
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A Method to Improve the Performance of Arrays for Aperture-Level Simultaneous Transmit and Receive by Dujuan Hu, Xizhang Wei, Mingcong Xie, Yanqun Tang

“…However, due to the nonlinear characteristics and the accompanying noise of the active devices in the system, the coupling from the transmit channel to the receive channel cannot be accurately estimated in massive arrays, making it hard to improve the isolation between the transmit and receive channels. …”
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Application of Gap Metric to LADRC Design in Multilinear Model of SDR by Hongfu Wang, Qinghua Zeng, An Wang, Zongyu Zhang

“…However, the SDR also has strong nonlinearity, which brings a great challenge to the application of the LADRC in the gas flow regulation of the SDR. …”
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Harmonic Detection Method Based on Particle Swarm Optimization and Simulated Annealing Algorithm of Electrohydraulic Servo System by Tao Wang, Jinchun Song

“…Due to the comprehensive influence of many nonlinear coupling factors within a system, when the input signal provided by an electrohydraulic servo shaker is sinusoidal, it often leads to the existence of high-order harmonic components of the system, which makes the output servo signal parameters exist extremely serious. …”
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Resource Assignment Algorithms for Autonomous Mobile Robots with Task Offloading by Giuseppe Baruffa, Luca Rugini

“…This minimization is a nonlinear integer programming problem, with high complexity. …”
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IMPACT OF EXTERNAL DEBT ON FINANCIAL DEVELOPMENT: AN EMPIRICAL ANALYSIS OF SELECTED EAST ASIAN AND PACIFIC COUNTRIES by Hoang Minh Nguyen

“…The results indicate that external debt has a positive impact on the financial development of these East Asian and Pacific countries, where economic growth plays a vital role in promoting financial development. Additionally, a nonlinear impact of external debt on the financial development of these East Asian and Pacific countries is observed. …”
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Assessment of Design and Retrofitting Solutions on the Progressive Collapse of Hongqi Bridge by Amir Seyed Khoei, Reza Akbari, Shahrokh Maalek, Alireza Gharighoran

“…In this study, progressive collapse of Hongqi Bridge was investigated using nonlinear dynamic analysis in the Applied Element Method, which has been proven as one of the best methods that can follow the collapse behavior of structures. …”
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