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    Journal of Jishou University(Natural Sciences Edition) 2022 Vol.43
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    A Time-Delayed Giving up Smoking Model with  Relapse
    ZHANG Zizhen, ZHANG Weishi
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 1-9.   DOI: 10.13438/j.cnki.jdzk.2022.01.001
    Abstract452)      PDF(pc) (696KB)(169)       Save
    A time-delayed giving up smoking model with relapse is studied.The model includes five subgroups:potential smokers,occasional smokers,heavy smokers,temporary quitters and permanent quitters.Firstly,the basic reproduction number and smoking equilibrium of the model are calculated.Then the existence of Hopf bifurcation is discussed by taking the time delay of the period experienced by occasional smokers to heavy smokers as the bifurcation parameter,and the critical point of the delay for the occurrence of Hopf bifurcation is calculated.Finally,a simulation example is given to verify the correctness of the results.
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    Stability of Discrete-Time Predator-Prey Model with Fear Effect
    SHU Qing, XIE Jingli, LIU Hanyan
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 10-14.   DOI: 10.13438/j.cnki.jdzk.2022.01.002
    Abstract572)      PDF(pc) (420KB)(186)       Save
    The constant capacity harvesting and the fear effect are introduced into the classic Leslie-Gower model.Through the stability theory of the dynamical system,the local asymptotically stability conditions of the predator-prey model at each equilibrium point are obtained,and the condition of Flip bifurcation at the positive equilibrium is obtained by using a new critical criterion.Numerical simulations illustrate that an appropriate increase in harvesting of predators can stabilize the system.
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    A Class of Neumann Problems of Singular Elliptic Equations with Critical Sobolev-Hardy Exponents
    GONG Yan
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 15-19.   DOI: 10.13438/j.cnki.jdzk.2022.01.003
    Abstract427)      PDF(pc) (267KB)(99)       Save
    In the condition of 0∈Ω,the existence of solutions for a class of singular elliptic equations with critical Sobolev-Hardy exponent is solved,and the existence of positive solutions for this class of singular elliptic equations is obtained.
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    Dynamic Properties of SIS Epidemic Model with Stage Structure
    LIU Hanyan, XIE Jingli, SHU Qing
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 20-25.   DOI: 10.13438/j.cnki.jdzk.2022.01.004
    Abstract377)      PDF(pc) (336KB)(166)       Save
    The dynamic properties of a Beddington-DeAngelis type functional response predator-prey model with stage structure and SIS epidemic are studied.The existence and stability conditions of positive solutions are proved through the method of constant variation.The local stability conditions of each equilibrium point are obtained by using the characteristic equation,and the global stability conditions of each equilibrium point are obtained by using Lyapunov function and LaSalle invariance principle.
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    CEFE and NBE Coupling Method for Solving Boundary Value Problems of Poisson Equation in Concave Corner Region
    ZHU Shuangbiao
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 26-30.   DOI: 10.13438/j.cnki.jdzk.2022.01.005
    Abstract420)      PDF(pc) (1648KB)(139)       Save
    Based on the principle of natural boundary reduction,the coupling method of curved edge finite element and natural boundary element is given.The coupling method is used to solve the boundary value problem of Poisson equation in concave region,and the error estimation and convergence of the approximate solution of the coupling method are obtained.Numerical examples verify the superiority of the coupling method.
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    Mental Workload Classification Based on Visual and Operational EEG Signals
    QU Hongquan, LIU Yuzhe, PANG Liping, SHAN Yiping
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 31-37.   DOI: 10.13438/j.cnki.jdzk.2022.01.006
    Abstract461)      PDF(pc) (1641KB)(140)       Save
    A classification method is proposed based on EEG independent component features for the mental workload classification of visual and operational task.First,the independent component analysis method is used to decompose the independent components of the EEG signals from the mixed EEG signals;then the energy features of the four different frequency bands of the EEG independent components are extracted;and the energy features are classified.The mental workload classification experiments were carried out based on EEG signal features and EEG independent component features respectively,and the classification accuracy was 60.52% and 86.14%,with the latter increased by 42.33%.
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    Image Denoising Based on New Nonlinear Multigrid Method
    HAN Fen, YANG Fenlin
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 38-42.   DOI: 10.13438/j.cnki.jdzk.2022.01.007
    Abstract510)      PDF(pc) (5206KB)(126)       Save
    A new nonlinear multigrid (NM) method is constructed by setting effective restriction operator and interpolation operator for differential curvature,and this method is applied to TVP model based on differential curvature.The experimental results show that the peak signal-to-noise ratio (PSNR) of images processed by the new method is significantly higher than that of the fixed point iteration (FP) method,and the convergence speed is 2~3 times that of the fixed point iteration method.
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    Review of Hybrid Beamforming Technology for Millimeter Wave Massive MIMO System
    LIU Jian, QIAN Yingjing, ZHANG Renmin
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 43-52.   DOI: 10.13438/j.cnki.jdzk.2022.01.008
    Abstract865)      PDF(pc) (705KB)(463)       Save
    In view of hybrid beamforming techniques for mmWave communications,we first describe the transmission characteristics of the mmWave  and its channel model,and outline the architecture of a massive mmWave MIMO hybrid beamforming system and its mathematical model.On that basis,we summarize  the transmission scheme and introduce two feasible methods of mmWave beam alignment.Finally,the typical applications  of mmWave communication integrated with other technologies and the future research hotspots  are anticipated.
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    Spatial Distribution Characteristics of Museums in Wuling Mountain Area and Influential Factors
    LIU Zheng, LIU Shuiliang, LIU Jie, ZHUANG Qin, TANG Jiaqi
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 53-63.   DOI: 10.13438/j.cnki.jdzk.2022.01.009
    Abstract427)      PDF(pc) (17112KB)(126)       Save
    Based on the 127 museums in Wuling Mountain area,the spatial distribution characteristics and the influential factors  are analyzed by kernel density estimation method and nearest neighbor index method.The results show that the spatial distribution of museums in this area is generally concentrated in the county administrative region.The number of the four major types of museums is relatively balanced,and each type has its respective region of high-density distribution.The museums include state-owned museums and non-graded museums.Non-graded museums also present a cluster distribution.The main factors affecting the spatial distribution of museums in this area include natural and cultural resources,economic development,transportation,tourism development  and population density.In order to optimize the space layout of museums in Wuling Mountain area,suggestions are put forward in terms of  developing resources,responding to market demand,innovating system and mechanism,exploiting the advantages of tourism industry and perfecting infrastructure.
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    On Influencing Factors of Health Behavior Change of Rural Residents in Underdeveloped Areas:Model Construction Based on Theory of Planned Behavior
    GONG Fangmin, GONG Zhuliu
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 64-76.   DOI: 10.13438/j.cnki.jdzk.2022.01.010
    Abstract534)      PDF(pc) (804KB)(269)       Save
    We collected the data of rural residents in underdeveloped western Hunan through a questionnaire survey and in-depth interviews.Based on the data analysis,this paper analyzed the internal mechanism of farmers' health behavior change in the post-poverty alleviation era.Different from previous studies,this study attempts to integrate media use and health knowledge into the theoretical model of planned behavior and explores the influence of media use on farmers' health behavior through a structural equation model.The results show that:The use of media has a significant positive impact on rural residents' health behavior,and also has an indirect impact on health behavior through self-efficacy,behavioral attitude and subjective norms;Social media is an effective channel for the change of rural residents' health behavior;The unhealthy behaviors of rural residents mainly focus on smoking,drinking and eating preserved food by a positive attitude towards these behaviors.Cultural customs and power demands are the factors that are difficult to change unhealthy behaviors;The role of health knowledge is not significant,and there may be mediating variables from health knowledge to health behavior,and the proliferation of pseudo-health information that makes it difficult to achieve health knowledge adoption and thus does not lead to changes in poor health behavior.
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    Is the Social Connection as Close as Possible?:Based on An Empirical Study on the Impact of Resource Bricolage on the Performance of SMEs
    LI Lu, ZHANG Huaiying, ZHANG Yan
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 77-84.   DOI: 10.13438/j.cnki.jdzk.2022.01.011
    Abstract994)      PDF(pc) (531KB)(287)       Save
    Under the background of resource constraint,social connection has contingency effect on resource allocation and development process.Based on the resource orchestration theory,this paper integrates resource bricolage,social connection strength and innovation performance into the same analysis framework,and empirically tests the influence of resource bricolage on innovation performance of SMEs under the business connection strength and political connection strength.The results show that resource bricolage has a positive impact on innovation performance of small and medium-sized enterprises;The intensity of business connection plays a negative role in regulating the relationship between resource bricolage and the innovation performance of SMEs.The intensity of political connection plays a positive role in regulating the relationship between resource bricolage and the innovation performance of SMEs.Enterprise managers should put together the resource attributes and contents according to the current needs,and must actively think about strategies and selectively develop social ties.
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    Impact of Financial Openness on Financial Agglomeration and Regional Heterogeneity  of Yangtze River Delta Urban Agglomeration: Clustering Analysis Based on Feature Extraction
    MA Hanjiang, YU Xiaolan
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (1): 85-96.   DOI: 10.13438/j.cnki.jdzk.2022.01.012
    Abstract443)      PDF(pc) (2770KB)(214)       Save
    According to the panel data of 26 cities in the Yangtze River Delta urban agglomeration from 2005 to 2018,this paper uses factor analysis to evaluate the degree of financial agglomeration of cities over the years,and uses the financial openness index to conduct the K-means dynamic clustering division based on feature extraction,and empirically analyzes the impact of financial openness on the financial agglomeration of cities in the Yangtze River Delta.The results show that,on the whole,financial opening up has a significant positive impact on the degree of urban financial agglomeration,but this promoting effect is mainly concentrated in the developed cities with higher level of financial opening up,and shows a negative inhibitory effect in the less developed cities with lower level of opening up,which shows obvious heterogeneity among regions.
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    Existence of Positive Solution for a Class of Fractional Four-Point Boundary Value Problems
    PAN Xinyuan, HE Xiaofei
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 1-6.   DOI: 10.13438/j.cnki.jdzk.2022.02.001
    Abstract390)      PDF(pc) (276KB)(149)       Save
    By applying Green's function,Arzela-Ascoli theorem and fixed point theorem on cones,the existence of positive solution is obtained for a class of p-Laplacian type fractional differential boundary value problems.
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    Allowed Transformations and Symmetry Groups of Variable-Coefficient Gordoa-Pickering Equation
    SU Dan, YONG Xuelin
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 7-10.   DOI: 10.13438/j.cnki.jdzk.2022.02.002
    Abstract450)      PDF(pc) (305KB)(151)       Save
    The allowed transformations of the variable coefficient Gordoa-Pickering (VCGP) equation with six arbitrary functions are obtained.These transformations keep the form of the equation invariant but possibly change the arbitrary coefficients.Based on the allowed transformations,two types of Lie point symmetry groups are found.Finally,symmetry reductions and group invariant solutions of the VCGP equation are also considered.
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    Well-Posedness of Solutions of Artificially Compressed Navier Stokes Equations with Jump Noise
    ZHANG Fang
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 11-16.   DOI: 10.13438/j.cnki.jdzk.2022.02.003
    Abstract249)      PDF(pc) (329KB)(78)       Save
    For  the difficulty of numerical calculation under incompressible constraints,the artificial compression method is introduced.With Lévy It formula,uniform a priori estimation,local monotonicity and weak convergence method,the existence and uniqueness of strong solutions of the artificial compression Navier- Stokes equation is obtained by the classical Minty-Browder method.
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    Lattice Boltzmann Method for Spatial Fractional Convection Equations
    WEI Xuedan, LI Mengjun, DAI Houping
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 17-22.   DOI: 10.13438/j.cnki.jdzk.2022.02.004
    Abstract446)      PDF(pc) (3418KB)(81)       Save
    Lattice Boltzmann model is established to numerically solve spatial fractional convection equations. Through integral mean value theorem and linear interpolation method,the fractional derivative was discretized,and the equilibrium distribution functions in each direction were derived by combining Taylor expansion and Chapman-Enskog multi-scale expansion.Numerical results verify the effectiveness of the constructed model via one-dimensional and two-dimensional problems.
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    Quotient Option Pricing Based on O-U Process withStochastic Interest Rate
    LI Jingnan, LIU Huili
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 23-30.   DOI: 10.13438/j.cnki.jdzk.2022.02.005
    Abstract391)      PDF(pc) (483KB)(91)       Save
    Assuming that the underlying asset follows a multi-dimensional exponential O-U process,and the interest rate follows the Ho-Lee model and the extended Vasicek model respectively.By the multi-dimensional Girsanov theorem and the method of measure transform,we derive the pricing formula of quotient options with uncertain strike price.
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    Design Efficiency of Three-Level Minimum Projection Uniform Designs
    BAI Qiming, HUANG Xingyou, XUE Huili, LI Hongyi
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 31-37.   DOI: 10.13438/j.cnki.jdzk.2022.02.006
    Abstract380)      PDF(pc) (351KB)(127)       Save
    Under the centered L2-discrepancy,the analytical relationship between the uniformity pattern and design efficiency of three-level orthogonal designs with strength 2 is established.For the three-level orthogonal arrays with strength 3,the minimum projection uniformity criterion is equivalent to the design efficiency criterion.For the three-level designs,a tight lower bound of the uniformity pattern is obtained,which can measure whether the design is the minimum projection uniform design.
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    Design of Filter and Beam Aplitting Device Based on Photonic Crystal Ring Cavity
    WU Cong, SUN Jing, SU Muyang, ZHONG Liang
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 38-44.   DOI: 10.13438/j.cnki.jdzk.2022.02.007
    Abstract384)      PDF(pc) (5751KB)(107)       Save
    Based on the resonance coupling principle of photonic crystal ring cavity and waveguide,a  three-port photonic crystal dual-function device with two-dimensional triangular lattice was designed,which was composed of ring defect and line defect.The plane wave expansion method and the finite difference time domain method were used to analyze the transmission characteristics of optical wave in the device,and thus  the transmission characteristic curve and the light field distribution were obtained.Then the influence of the number and density of the central dielectric column on the transmission efficiency of the output port was discussed.The results show that the frequency can be selected by adjusting the number of central dielectric columns.When the number of medium column was 5,the device achieved the filtering function of 1.346 μm,1.455 μm and beam splitting function of 1.414 μm.According to the influence of the horizontal and vertical spacing of the central column on the transmittance,the optimal structure parameters of the device was obtained,and the transmittance of the filter wavelength and beam splitting wavelength of the device are calculated.
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    Changsha Dialect Recognition Based on CTC-GRU Model
    LIANG Xiaolin, SHEN Xiangfei, LIANG Zhao, QIU Hailin
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 45-52.   DOI: 10.13438/j.cnki.jdzk.2022.02.008
    Abstract505)      PDF(pc) (589KB)(209)       Save
    In order to recognize continuous speech in Changsha dialect with a large vocabulary,a gated linear element neural network model based on Connectionist Temporal Classification(CTC) algorithm is proposed.Firstly,the characteristic parameters of speech are extracted by Mel-scale Frequency Cepstral Coefficients(MFCC),and then the extracted characteristic parameters are input into gated linear unit neural network.CTC algorithm is used for training and optimization,and the whole prediction label of input sequence is obtained.Finally,the results of the CTC model,the GRU model and the CTC-GRU model are compared on the self-built corpus of Changsha dialect,and the Word Error Rate(WER) is taken as the evaluation index.The results show that the CTC-GRU model can achieve faster convergence and greater accuracy compared with the other two models.
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    Prediction of Vertical Displacement of Bridge Excavation Based on Neural Network
    LI Jiawen, WANG Chongxu, WANG Hao
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 53-59.   DOI: 10.13438/j.cnki.jdzk.2022.02.009
    Abstract302)      PDF(pc) (2009KB)(88)       Save
    Based on BP neural network method,the vertical deformation prediction of excavation under the bridge is studied.Firstly,the parameter sensitivity of different soil layers is studied and analyzed.It is concluded that the vertical displacement is only sensitive to the parameter change of the first layer of soil.And then,the control parameters of the neural network are determined as cohesion,internal friction angle,elastic modulus,Poisson's ratio,excavation depth,and excavation length of the first layer of soil.The B-R method is used for iterative calculation Verification of the established network show that the prediction accuracy of the model is high.
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    Power Limit of Locomotive Traction Motor Under Abnormal Working Conditions
    CHEN Gang, CHEN Xixiang
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 60-67.   DOI: 10.13438/j.cnki.jdzk.2022.02.010
    Abstract506)      PDF(pc) (653KB)(129)       Save
    Under abnormal conditions,it is necessary to effectively limit the traction motor power to ensure the normal and safe operation of electric locomotive. On the basis of expounding the influence  of the unlimited traction motor output power of electric locomotive on the converter module and the motor,ther esearch focuses on the analysis of the principle of limiting the output power of traction motor under the conditions of abnormal traction network voltage,abnormal cooling water temperature,abnormal traction motor temperature and fault of traction converter module,and then puts forward the specific implementation scheme of power distribution of traction motor under the power limitation mode. The test results show that the electric locomotive can operate according to the set power limit under different abnormal conditions or fault conditions,which verifies  the power distribution scheme of locomotive traction motor under power limit conditions.
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    New Way of Industrialization  for Zhangjiajie,a Tourism City
    DENG Yulu
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 68-72.   DOI: 10.13438/j.cnki.jdzk.2022.02.011
    Abstract463)      PDF(pc) (430KB)(150)       Save
    The necessity,problems and historical opportunities of strengthening industrialization  in Zhangjiajie City are analyzed,and suggestions are made to promote the deep integration of industry and tourism,strengthen the construction supporting industrial  facilities,cultivate a new industrial system,and improve the policy making for industrial development.
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    Research Development on the Predictive Value of MELD Score for Short-Term Prognosis of Patients with Alcoholic Liver Disease
    LI Cuiqin, PENG Zhi, LI Xuefeng, XIANG Ping
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 73-77.   DOI: 10.13438/j.cnki.jdzk.2022.02.012
    Abstract437)      PDF(pc) (393KB)(91)       Save
    Number of patients with Alcoholic Liver Disease (ALD) tends to increase year by year in China.It is important for clinicians to determine a treatment plan based on the condition and prognosis of each patient in a timely and accurate manner,and the Model for End-Stage Liver Disease (MELD) has been widely used to predict the prognosis of patients with various liver diseases.This paper reviews the study on the predictive value of MELD score for short-term prognosis of patients with ALD,so as to provide a reference for clinical treatment.
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    Resilient Response Mechanism of Agricultural Enterprises Under Major Public Health Emergencies
    ZHANG Huaiying, CHANG Le, LI Lu, GAO Xin
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 78-83.   DOI: 10.13438/j.cnki.jdzk.2022.02.013
    Abstract344)      PDF(pc) (558KB)(125)       Save
    Under major public health emergencies,organizational resilience can enable business gain corresponding competitive advantage in the face of market supply and demand turbulence.The resilience sources of the two agricultural enterprises,Muyuan Industrial Group Co.,Ltd.and New Hope Group Co.,Ltd. are explored.An emergency response mechanism for agricultural enterprises based on organizational resilience is established in initiation period,duration period,regression period and contingency period.This study provides reference for the agricultural enterprises to improve their management "immunity" and establish a crisis management mechanism based on resilience.
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    Multiple Linear Regression Analysis of Influential Factors for Cotton Yield in Changji Prefecture
    LI Shuo, WANG Xintong, YANG Jibin, ZHANG Youjiang
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 84-88.   DOI: 10.13438/j.cnki.jdzk.2022.02.014
    Abstract421)      PDF(pc) (486KB)(123)       Save
    Two variables,rainfall and planting area,were selected to establish multiple linear regression model,and the influential factors for cotton yield were analyzed to provide reference for cotton production in Changji Prefecture.
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    Influence of College Innovation Support on Students' Innovative Behavior:Mediating Effect of  Motivation for Participation
    PENG Liping
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (2): 89-96.   DOI: 10.13438/j.cnki.jdzk.2022.02.015
    Abstract358)      PDF(pc) (473KB)(85)       Save
    To explore the influence mechanism of college innovation support on students' innovative behavior,this paper examines the relationships among college innovation support students' motivation for participation and students' innovative behavior.Analysis of 604 samples from five universities in Hunan reveal that college innovation support exerts a significantly positive influence on students' innovative behavior.Students' motivation,including self-strengthening and social-strengthening motivation,has mediating effect.
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    Existence and Uniqueness of Solutions for a Class of Fractional Differential Equations with Boundary Value Problems
    LI Yiyun, XIE Jingli
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 1-6.   DOI: 10.13438/j.cnki.jdzk.2022.03.001
    Abstract460)      PDF(pc) (315KB)(187)       Save
    With Banach contraction mapping principle and Krasnoselskii's fixed point theorem,we obtain the existence and uniqueness of solutions for nonlocal boundary value problems of nonlinear fractional differential equations with Caputo and Hilfer-Hadamard fractional derivative.
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    Lattice Boltzmann Model for Solving Nonlinear Coupled Long and Short Wave Equations
    SONG Tongzheng, DAI Houping, FENG Shuting, WEI Xuedan
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 7-14.   DOI: 10.13438/j.cnki.jdzk.2022.03.002
    Abstract371)      PDF(pc) (1707KB)(96)       Save
    With Taylor expansion and Chapman-Enskog multi-scale expansion techniques,the equilibrium distribution functions and the correction functions are derived,and the two functions are introduced into the D1Q3 lattice Boltzmann model with two distribution functions.With this model,the initial-boundary value problem for a class of nonlinear coupled long-short wave equations is solved.For the plane wave and solitary wave solutions,the numerical simulation results verify the validity of the model for solving the nonlinear coupled initial-boundary value problems of the long-short wave equation.
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    Global Polynomial Stabilization of Proportional Delayed Neural Networks
    WANG Yu, ZHANG Shiru, ZHANG Yuji, ZHOU Liqun
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 15-25.   DOI: 10.13438/j.cnki.jdzk.2022.03.003
    Abstract409)      PDF(pc) (1070KB)(129)       Save
    For a class of proportional delayed neural networks,a state feedback controller is used.With the condition that the activation function is bounded and satisfies the Lipschitz condition,we analyze the global polynomial stabilization (GPS) and global asymptotic stabilization (GAS) of the studied system are analyzed by constructing appropriate Lyapunov functionals and using mean value inequality and inequality analysis skills.Several delay-dependent GPS and GAS conditions are obtained.
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    Relaxed Total Lagrange Duality and Optimality Conditions for the Convex Infinite Programming
    ZHENG Qinghui, HU Xingxing, WANG Xianyun
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 26-31.   DOI: 10.13438/j.cnki.jdzk.2022.03.004
    Abstract310)      PDF(pc) (287KB)(62)       Save
    With the properties of subdifferential of functions and some new weaker constraint qualifications,the total duality and optimality condition between the convex infinite optimization problem and its relaxed Lagrange dual problem are established.
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    Approximate Optimality Conditions for DC Composite Optimization Problems
    HU Xingxing, ZHENG Qinghui, TIAN Liping
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 32-37.   DOI: 10.13438/j.cnki.jdzk.2022.03.005
    Abstract395)      PDF(pc) (294KB)(86)       Save
    With the properties of function ε-subdifferential and the new constraint qualification,the characteristic characterization of approximate optimal solution for DC composite optimization problem is established.
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    Harmonic Parameter Estimation Based on Classical Cosine Window Three Spectral Line Interpolation FFT
    LI Minghao, WANG Xuming, ZHANG Zhiwei, TAN Yuhao, LEI Kejun
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 38-43.   DOI: 10.13438/j.cnki.jdzk.2022.03.006
    Abstract457)      PDF(pc) (360KB)(137)       Save
    Aiming at the problems of spectrum leakage and fence effect in signal processing by fast Fourier transform(FFT),based on the analysis of the characteristics of main-lobe and side-lobe of several classical cosine windows,a harmonic analysis method based on cosine window three spectral line interpolation FFT is proposed by using the spectral lines with the largest amplitude near the real frequency point and the spectral lines on both sides. Combined with the least square and polynomial fitting methods,the correction formula of harmonic parameters is derived.The simulation results show that,compared with the traditional FFT method,the proposed method can better suppress the influence of spectrum leakage and fence effect,and the detection accuracy of harmonic parameters has been further improved.
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    FFT Dielectric Loss Angle Measurement of Improved Rife-Vincent(Ι) Window
    ZHANG Zhiwei, PENG hao, TAN Yuhao, LI Minghao, WANG Xuming
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 44-47.   DOI: 10.13438/j.cnki.jdzk.2022.03.007
    Abstract450)      PDF(pc) (398KB)(87)       Save
    Due to the asynchronous sampling of the signal,there will be spectrum leakage when using FFT to process the signal,resulting in the low measurement accuracy of FFT dielectric loss angle.In order to improve the measurement accuracy of dielectric loss angle,the side lobe characteristics of different window functions are analyzed.A new cosine window is constructed through the self-multiplication operation of Rife-Vincent (Ι) window,and an FFT dielectric loss angle measurement method based on improved Rife-Vincent (Ι) window is proposed.The new window function has better sidelobe characteristics than the traditional window function,and improves the suppression effect of spectrum leakage.The simulation results show that the measurement accuracy of using Rife-Vincent (Ι) self-multiplication window method is higher than that of using Hanning window and Blackman window method.
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    Theoretical Derivation of the Kramers-Kronig Relationship Based on the Fourier Transform
    SU Hongmei
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 48-51.   DOI: 10.13438/j.cnki.jdzk.2022.03.008
    Abstract654)      PDF(pc) (323KB)(449)       Save
    From the causal law of physical experimental facts,without concrete microscopic physical model, this paper discusses the physical mechanism and theoretical derivation of the Kramers-Kronig relationship based on Fourier transform,dispersion theory,and residue theorem.
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    Design of Controller for Pure Electric Bus Based on STM32
    WANG Guoyi, YUAN Tao, YU Xingguo, LI Hao
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 52-56.   DOI: 10.13438/j.cnki.jdzk.2022.03.009
    Abstract437)      PDF(pc) (610KB)(245)       Save
    A pure electric bus controller based on STM32 is designed through analyzing the function and running state of pure electric bus control. The function of each module of the controller is analyzed,and the power supply circuit and voltage detection circuit are designed. The controller adjusts the speed of the DC motor through outputting pulse width modulation with different duty cycles.The information collected by the sensor is transmitted to the microprocessor in real time through the CAN bus,and the microprocessor analyses the collected information and sends commands through CAN bus to control the running state of the bus safely,accurately and in real time.
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    Analytical Solution of Matric Suction for Advanced-Peak Pattern Rainfall Infiltration into a Two-Layered Foundation
    XU Ruilin, QIN Weixing, HE Yong, HU Huiren, YANG Le, WANG Cong, XIONG Xuanyu
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 57-65.   DOI: 10.13438/j.cnki.jdzk.2022.03.010
    Abstract474)      PDF(pc) (509KB)(86)       Save
    In order to reveal the influence of advanced-peak rainfall infiltration on the matrix suction distribution of a two-layered foundation,the following research work is carried out.Firstly,based on Richards transient unsaturated seepage equation and Gardner soil water characteristic function,the water transport model of a two-layered unsaturated foundation for advanced-peak rainfall infiltration is established,and the transient analytical solution of matrix suction for advanced-peak pattern rainfall infiltration into a two-layered foundation is established by Laplace transform.Then,the analytical results are compared with those obtained from the finite element simulation,which indicates that the analytical solution is reasonable.The research results provide a convenient means to predict the evolution characteristics of matrix suction of a two-layered foundation for non-uniform rainfall infiltration,and can provide technical support for the evaluating bearing performance and reducing disaster of a foundation in rainy season.
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    Significance Analysis of the Influencing Parameters of Maximum Leachate Depth in Landfill Drainage Layer
    LIU Jinlong, QIN Weixing, XU Ruilin, HU Huiren, LIU Zechen, DENG Chuanxiong
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 66-71.   DOI: 10.13438/j.cnki.jdzk.2022.03.011
    Abstract350)      PDF(pc) (473KB)(84)       Save
    In order to predict the maximum leachate depth in landfill drainage layer and determine the significance of its influening parameters,the following research work is carried out.Firstly,an analytical solution to leachate depth along drainage layer is obtained during leachate infiltration based on the extended Dupuit assumption;the distribution law of leachate depth along drainage layer is analyzed with different leachate infiltration intensity.Then,orthogonal design method is used for comparing the effectiveness of the five main parameters influencing maximum leachate depth,which are leachate infiltration intensity,permeability coefficient,horizontal drainage distance,layout slope as well as water head at the drainage blind ditch ,and the most influential parameters for changing maximum leachate depth are obtained.The variance analysis gives the degrees of impact for each parameter on the maximum leachate depth.The results show that:(1) the analytical solution of leachate depth obtained above considers the actual hydraulic state of the drainage blind ditch in the drainage layer more reasonably,and the distribution characteristics of leachate depth are accurately described;(2) leachate infiltration intensity and horizontal drainage distance have significant impact on the maximum leachate depth in the landfill drainage layer.The findings will facilitate the optimization of design parameters of landfill drainage layer and the prevention of landfill instability caused by high leachate depth.
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    Preparation of Li4Ti5O12 by Solid-State Method and Exploration of Calcination Temperature
    LONG Ruilai, WU Xianming, WU Xiuting, YIN Caishuo
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 72-78.   DOI: 10.13438/j.cnki.jdzk.2022.03.012
    Abstract470)      PDF(pc) (7320KB)(211)       Save
    Li4Ti5O12 powders were prepared by solid-state reaction and two-step calcination method with Li2CO3 and TiO2 as starting materials and anhydrous ethanol as dispersant.The microstructure and morphology of the materials were characterized by X-ray diffraction (XRD) and scanning electron microscopy (SEM).The electrochemical properties of the materials were tested by constant current charge-discharge,AC impedance and cyclic voltammetry.The results show that the pure phase Li4Ti5O12 with complete crystal structure could be synthesized after calcination at 800  ℃ for 6h,and uniform dispersion with particle size of 200~400 nm.The first reversible specific capacity of the Li4Ti5O12 sample was 157.67 mA·h/g at the rate of 0.5 C,and the coulombic efficiency was 96.1%,the capacity retention was 94.3% after 100 cycles.The first reversible specific capacity was 107.0 mA·h/g at the rate of 0.5C,the coulombic efficiency was 96.1% and capacity retention was 84.1% after 1 000 cycles.
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    Optimization Model for C4 Olefin Preparation Based on Random Forest and L-M Algorithm
    JIANG Zihao, REN Tao, ZHOU Qi, LUO Jiamian
    Journal of Jishou University(Natural Sciences Edition)    2022, 43 (3): 79-83.   DOI: 10.13438/j.cnki.jdzk.2022.03.013
    Abstract498)      PDF(pc) (548KB)(121)       Save
    It is important to investigate the catalyst combination and temperature on the preparation of olefins by ethanol coupling.Firstly,ANOVA was used to screen the important influencing factors;then,the importance of the influencing factors on ethanol conversion and C4 olefin selectivity was analyzed by random forest algorithm:temperature>catalyst mass>ethanol concentration>Co loading>charging ratio;finally,multiple non-linear regression was performed by L-M algorithm,and the optimal C4 olefin yield was obtained with particle swarm algorithm.The optimal value was 42.548 5%.
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