Communications in Nonlinear Science and Numerical Simulation最新文献

筛选
英文 中文
Convergence analysis of subgradient extragradient method with inertial technique for solving variational inequalities and fixed point problems 用惯性技术求解变分不等式和不动点问题的次梯度法的收敛性分析
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-17 DOI: 10.1016/j.cnsns.2025.108851
Danni Guo , Gang Cai , Bing Tan
{"title":"Convergence analysis of subgradient extragradient method with inertial technique for solving variational inequalities and fixed point problems","authors":"Danni Guo ,&nbsp;Gang Cai ,&nbsp;Bing Tan","doi":"10.1016/j.cnsns.2025.108851","DOIUrl":"10.1016/j.cnsns.2025.108851","url":null,"abstract":"<div><div>The paper presents a new iterative algorithm based on Mann-type subgradient extragradient method to solve pseudomonotone variational inequalities and fixed point problems of quasi-nonexpansive mappings in real Hilbert spaces. Our algorithm, employing inertial technique in each iteration, significantly enhances its convergence. We prove a strong convergence theorem under suitable conditions imposed on the operators and parameters, without prior knowledge of the Lipschitz constant. The efficacy and validity of the proposed method are confirmed through several numerical experiments.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108851"},"PeriodicalIF":3.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143863732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Observer-based resilient PD-like scaled group consensus for uncertain multiagent systems under time-varying delays 时变时滞下不确定多智能体系统的基于观测器的弹性类pd伸缩群体共识
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-17 DOI: 10.1016/j.cnsns.2025.108846
Zhen Tang , Ziyang Zhen , Zhengen Zhao , Geert Deconinck
{"title":"Observer-based resilient PD-like scaled group consensus for uncertain multiagent systems under time-varying delays","authors":"Zhen Tang ,&nbsp;Ziyang Zhen ,&nbsp;Zhengen Zhao ,&nbsp;Geert Deconinck","doi":"10.1016/j.cnsns.2025.108846","DOIUrl":"10.1016/j.cnsns.2025.108846","url":null,"abstract":"<div><div>This paper addresses the issue of observer-based resilient scaled group consensus control for uncertain nonlinear multiagent systems subject to delays and disturbances. First, a distributed observer is introduced for each uncertain agent, enabling precise estimation of both the state and disturbance, while tolerating variations in observer gain. Next, a resilient proportional-derivative-like scaled group consensus protocol is formulated, accounting for both the observer and communication delays. Notably, this protocol achieves scaled group consensus while enhancing performance. A new delay-product type Lyapunov-Krasovskii functional is then developed, incorporating terms for triple integrals and Bessel-Legendre vectors, unlike the traditional quadratic form. By applying the Bessel-Legendre inequality and the extended reciprocally convex matrix inequality, new sufficient conditions for scaled group consensus are derived, yielding reduced conservatism. Finally, numerical examples are provided to validate the theoretical findings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108846"},"PeriodicalIF":3.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143890517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topology optimization of the two smallest p-Laplacian eigenvalues by a level set method 基于水平集方法的两个最小p-拉普拉斯特征值拓扑优化
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-17 DOI: 10.1016/j.cnsns.2025.108854
Jing Li , Meizhi Qian , Shengfeng Zhu
{"title":"Topology optimization of the two smallest p-Laplacian eigenvalues by a level set method","authors":"Jing Li ,&nbsp;Meizhi Qian ,&nbsp;Shengfeng Zhu","doi":"10.1016/j.cnsns.2025.108854","DOIUrl":"10.1016/j.cnsns.2025.108854","url":null,"abstract":"<div><div>This paper considers optimization of the two smallest Dirichlet <span><math><mi>p</mi></math></span>-Laplacian eigenvalues subject to geometric volume or perimeter constraint. A relaxed topology optimization model with shape sensitivity analysis is presented. A level set method and finite element discretization are employed to numerically solving the model problems. The <span><math><mi>p</mi></math></span>-Laplacian eigenvalue is efficiently solved using quasi-Newton method, which achieves accurate results even for extreme values of <span><math><mi>p</mi></math></span>. Numerical results are provided to indicate that for the first eigenvalue, the optimal shapes are disks in 2D and balls in 3D under both constraints, independent of <span><math><mi>p</mi></math></span>. For the second eigenvalue, optimizers have two identical disks or balls independent of <span><math><mi>p</mi></math></span> under volume constraint, while optimized shapes evolve from ellipsoidal to flatter configurations under perimeter constraint as <span><math><mi>p</mi></math></span> increases.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108854"},"PeriodicalIF":3.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
One-way coupled Eulerian–Lagrangian strategy for wave propagation and impact on coastal areas 波浪传播及其对沿海地区影响的单向耦合欧拉-拉格朗日策略
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-16 DOI: 10.1016/j.cnsns.2025.108845
Andrea Montanino , Miguel Masó Sotomayor , Alessandro Franci
{"title":"One-way coupled Eulerian–Lagrangian strategy for wave propagation and impact on coastal areas","authors":"Andrea Montanino ,&nbsp;Miguel Masó Sotomayor ,&nbsp;Alessandro Franci","doi":"10.1016/j.cnsns.2025.108845","DOIUrl":"10.1016/j.cnsns.2025.108845","url":null,"abstract":"<div><div>Coastal hazards have gained importance in recent years due to the increasing number of extreme phenomena induced by climate change. The numerical simulation of such events represents a considerable challenge, due to the high non-linearity of the problem, the broadness of the domain, and the diversity of the involved scales. Holistic three-dimensional simulations of the whole domain are typically too computationally demanding and may not be necessary for the wave propagation analysis, where reduced models based on shallow-water hypotheses can be employed. However, these simplified approaches fail when modeling the intricate impact phenomena that occur in coastal zones. To reduce the computational cost without losing accuracy, we propose a one-way coupled approach using a Shallow-Water Eulerian solver to model wave propagation in the far field, and a complete three-dimensional Navier–Stokes Lagrangian strategy to simulate the wave impacting the coastal areas. A computational interface is used to store the kinematic information during the far-field analysis and to transfer it as an inlet condition to the near-field solver. The accuracy, efficiency and robustness of the proposed approach are shown in both 2D and 3D by studying two experimental tests.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108845"},"PeriodicalIF":3.4,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear multi-point impacts of the bi-stable functional gradient magneto-electro-elastic plate: Interaction analysis and active control strategy based on bistable configuration 双稳态功能梯度磁电弹性板的非线性多点冲击:基于双稳态结构的相互作用分析与主动控制策略
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-16 DOI: 10.1016/j.cnsns.2025.108881
Lizhi Li , Yiru Ren , Lu Nie
{"title":"Nonlinear multi-point impacts of the bi-stable functional gradient magneto-electro-elastic plate: Interaction analysis and active control strategy based on bistable configuration","authors":"Lizhi Li ,&nbsp;Yiru Ren ,&nbsp;Lu Nie","doi":"10.1016/j.cnsns.2025.108881","DOIUrl":"10.1016/j.cnsns.2025.108881","url":null,"abstract":"<div><div>Revealing the coupling correlations between stiffness nonlinearity and magneto-electro-mechanical effect in multi-point impacts contributes significantly to the advancement of intelligent morphing structures. Multi-point impact responses and active control of bi-stable functional gradient magneto-electro-elastic (FG-MEE) plates are investigated, focusing on influence mechanism of the active control performance and the bi-stable characteristics. Based on the Reddy high-order shear plate theory model, the nonlinear geometric relationship considering the bi-stable configuration is established, and the multi-point impact model is extended. To achieve efficient structural design in multi-point impacts, the active control strategy in multi-physics fields is introduced. In the multi-physical field, the nonlinear dynamic model for multi-point impact involving the bi-stable functionally graded magneto-electro-elastic plate is established. The expanded two-step perturbation method is proposed to solve the bi-stable configuration driven by the magneto-electro-mechanical effect. To obtain the approximate solution for the multi-point impact of the bi-stable FG-MEE plate, the extended two-step perturbation method-Galerkin method is further developed to the higher-order form. Ultimately, coupling correlations between stiffness nonlinearity and magneto-electro-mechanical effect in the multi-point impacts are systematically revealed, and the active control performance is evaluated under the influence of multi-point impact.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108881"},"PeriodicalIF":3.4,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143860385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coincidence degree theory for higher order nonlinear fractional differential equations: Existence and uniqueness results 高阶非线性分数阶微分方程的重合度理论:存在唯一性结果
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-16 DOI: 10.1016/j.cnsns.2025.108847
Sami Baroudi, Abderrazak Kassidi, Ali El Mfadel, M’hamed Elomari
{"title":"Coincidence degree theory for higher order nonlinear fractional differential equations: Existence and uniqueness results","authors":"Sami Baroudi,&nbsp;Abderrazak Kassidi,&nbsp;Ali El Mfadel,&nbsp;M’hamed Elomari","doi":"10.1016/j.cnsns.2025.108847","DOIUrl":"10.1016/j.cnsns.2025.108847","url":null,"abstract":"<div><div>This paper investigates a new class of fractional differential problems characterized by the <span><math><mi>Υ</mi></math></span>-Caputo fractional derivative of order <span><math><mrow><mi>ς</mi><mo>∈</mo><mrow><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span>. First, the existence result is established via Mawhin’s coincidence degree theory, and subsequently, the uniqueness of solutions is rigorously proved using Banach’s contraction principle. Numerically, the Adomian decomposition method is implemented, providing accurate and efficient approximations. Finally, an illustrative example validates the obtained theoretical results, thereby demonstrating the method’s practical effectiveness and robustness.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108847"},"PeriodicalIF":3.4,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiscale modeling of wave propagation with exponential integration and GMsFEM 基于指数积分和GMsFEM的波传播多尺度模拟
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-15 DOI: 10.1016/j.cnsns.2025.108825
Wei Xie , Juan Galvis , Yin Yang , Yunqing Huang
{"title":"Multiscale modeling of wave propagation with exponential integration and GMsFEM","authors":"Wei Xie ,&nbsp;Juan Galvis ,&nbsp;Yin Yang ,&nbsp;Yunqing Huang","doi":"10.1016/j.cnsns.2025.108825","DOIUrl":"10.1016/j.cnsns.2025.108825","url":null,"abstract":"<div><div>Numerical simulation of wave propagation in heterogeneous media is widely used in engineering and various applications. However, direct numerical simulation of wave propagation in such media is often impractical due to the need for extremely small time steps and fine spatial grids. In this paper, we propose a new multiscale model reduction method for solving the wave equation in heterogeneous media by combining the generalized multiscale finite element method (GMsFEM) with exponential integrators (EI). For spatial discretization, we construct local multiscale basis functions within the GMsFEM framework to capture microscopic behavior. EI enhances time integration stability, overcoming limitations of traditional finite difference schemes for time discretizations in high-contrast media. Three numerical examples are presented to demonstrate the efficiency of our method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108825"},"PeriodicalIF":3.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Forecasting crude oil option prices with dynamic factors using integrated machine learning models 基于集成机器学习模型的动态因素原油期权价格预测
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-15 DOI: 10.1016/j.cnsns.2025.108879
Kexin Yu , Xin-Jiang He , Xiaoyang Han , Xin Luo , Sha Lin
{"title":"Forecasting crude oil option prices with dynamic factors using integrated machine learning models","authors":"Kexin Yu ,&nbsp;Xin-Jiang He ,&nbsp;Xiaoyang Han ,&nbsp;Xin Luo ,&nbsp;Sha Lin","doi":"10.1016/j.cnsns.2025.108879","DOIUrl":"10.1016/j.cnsns.2025.108879","url":null,"abstract":"<div><div>In this article, we develop a dynamic factor model utilizing the incremental principal component analysis (IPCA) method to identify the key factors influencing crude oil option prices. We employ eight popular machine learning algorithms, i.e., LASSO, Support Vector Regression (SVR), Ridge Regression, Back Propagation (BP), Recurrent Neural Network (RNN), Long Short-Term Memory (LSTM), Gated Recurrent Unit (GRU), and Multi-Layer Perceptron (MLP), to forecast crude oil prices. Their performance is rigorously evaluated using four distinct error measurements alongside the model confidence set (MCS) and direction of change (DoC) tests. We further introduce an integrated machine learning model that combines the strengths of the top-performing algorithms through weighted averaging, enhancing both predictive accuracy and robustness. In addition, we also explore the interpretability of the factors influencing the precision of predictivity using the SHAP value, so that the contribution of these factors towards the prediction is clear. Our findings offer substantial potential for mitigating energy risks and improving market efficiency through refined price forecasting techniques.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108879"},"PeriodicalIF":3.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical modeling of stress state-dependent anisotropic fracture behavior for WE43 alloy WE43合金应力状态相关各向异性断裂行为数值模拟
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-15 DOI: 10.1016/j.cnsns.2025.108872
Pengfei Wu , Yanshan Lou , Qiang Chen
{"title":"Numerical modeling of stress state-dependent anisotropic fracture behavior for WE43 alloy","authors":"Pengfei Wu ,&nbsp;Yanshan Lou ,&nbsp;Qiang Chen","doi":"10.1016/j.cnsns.2025.108872","DOIUrl":"10.1016/j.cnsns.2025.108872","url":null,"abstract":"<div><div>Accurate prediction for fracture behavior plays an important role in metal forming process. The study aims to uncover and model the effect of anisotropy and stress state on the fracture behavior of WE43 alloy. The mechanical experiments along 0°, 45°, and 90° between the loading direction and rolling direction (RD, DD and TD) were carried out under tension, compression and shear stress states. It shows that the initial yield stress is with weak anisotropy and negligible tension-compression asymmetry, while the hardening behavior shows some anisotropy related to strain. The plastic ability along DD is preferred to that along RD and TD under uniaxial loading. The fracture behavior belongs to the ductile fracture with tension and shear mechanisms, which is dependent on the stress state and loading direction. An analytical anisotropic Drucker yield function is proposed to capture the evolving yield behavior with non-proportionality. The fracture-related variables from plane strain compression to plane strain tension along different loading directions are obtained with acceptable prediction accuracy by adopting the hybrid experimental-numerical method. A Drucker-DF2016 anisotropic fracture criterion is established based on the linear transformation tensor to characterize the coupling effect of anisotropy and stress state on the fracture behavior of WE43 alloy with an error of 0.054, which is smaller than the error (0.2908) of the Yld91-DF2014 anisotropic fracture criterion. The fracture location in numerical simulation is basically consistent with the fracture location in the experiment. This research provides an analytical yield function and anisotropic fracture model to be applied into the numerical modeling of the yield and fracture behaviors of metals.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108872"},"PeriodicalIF":3.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Further results on distributed finite-time synchronization for fractional-order coupled neural networks 分数阶耦合神经网络分布式有限时间同步的进一步结果
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-15 DOI: 10.1016/j.cnsns.2025.108832
Bibo Zheng , Wei Dai , Zhanshan Wang
{"title":"Further results on distributed finite-time synchronization for fractional-order coupled neural networks","authors":"Bibo Zheng ,&nbsp;Wei Dai ,&nbsp;Zhanshan Wang","doi":"10.1016/j.cnsns.2025.108832","DOIUrl":"10.1016/j.cnsns.2025.108832","url":null,"abstract":"<div><div>Given that the Newton-Leibniz formula and chain rule are not applicable to fractional calculus, the results of finite-time synchronization for integer-order systems are difficult to directly extend to fractional-order ones. In view of this, this paper is devoted to the finite-time synchronization for fractional-order coupled neural networks via a developed approach. Firstly, with the help of Laplace transform, the properties of Mittag-Leffler function and proof by contradiction, a more generalized fractional-order nonlinear differential inequality involved with finite-time convergence is established. Besides, some previous results on finite-time stability or synchronization of fractional-order systems can be further extended by this inequality, which presents a new tool for research. Under this framework, two distributed finite-time control schemes are introduced, (1) a basic distributed finite-time control scheme relying on some global information; (2) an improved fractional-order adaptive distributed finite-time control scheme, which avoids the dependence of some global information. Then, the communication topology is extended by including the synchronized state as a <span><math><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>th node in the considered networks, which eliminates the restriction on original network topology connectivity. In the end, in order to verify the feasibility of the proposed method, a numerical example of fractional-order Chua’s circuit system is provided.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108832"},"PeriodicalIF":3.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信