发布求助
文献互助 智能选刊 最新文献

Applied Mathematics-A Journal of Chinese Universities Series B最新文献

筛选
英文 中文
Notes concerning Codazzi pairs on almost anti-Hermitian manifolds 关于几乎反厄米流形上Codazzi对的注意事项
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-4075-3
Aydin Gezer, Hasan Cakicioglu
{"title":"Notes concerning Codazzi pairs on almost anti-Hermitian manifolds","authors":"Aydin Gezer,&nbsp;Hasan Cakicioglu","doi":"10.1007/s11766-023-4075-3","DOIUrl":"10.1007/s11766-023-4075-3","url":null,"abstract":"<div><p>Let ∇ be a linear connection on a 2<i>n</i>-dimensional almost anti-Hermitian manifold <i>M</i> equipped with an almost complex structure <i>J</i>, a pseudo-Riemannian metric <i>g</i> and the twin metric <i>G</i> = <i>g ◦ J</i>. In this paper, we first introduce three types of conjugate connections of linear connections relative to <i>g, G</i> and <i>J</i>. We obtain a simple relation among curvature tensors of these conjugate connections. To clarify the relations of these conjugate connections, we prove a result stating that conjugations along with an identity operation together act as a Klein group, which is analogue to the known result for the Hermitian case in [2]. Secondly, we give some results exhibiting occurrences of Codazzi pairs which generalize parallelism relative to ∇. Under the assumption that (∇, <i>J</i>) being a Codazzi pair, we derive a necessary and sufficient condition the almost anti-Hermitian manifold (<i>M, J, g, G</i>) is an anti-Kähler relative to a torsion-free linear connection ∇. Finally, we investigate statistical structures on <i>M</i> under ∇ (∇ is a <i>J</i>–parallel torsion-free connection).</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"223 - 234"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-4075-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47329606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Learning sparse and smooth functions by deep Sigmoid nets 利用深Sigmoid网学习稀疏光滑函数
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-4309-4
Xia Liu
{"title":"Learning sparse and smooth functions by deep Sigmoid nets","authors":"Xia Liu","doi":"10.1007/s11766-023-4309-4","DOIUrl":"10.1007/s11766-023-4309-4","url":null,"abstract":"<div><p>To pursue the outperformance of deep nets in learning, we construct a deep net with three hidden layers and prove that, implementing the empirical risk minimization (ERM) on this deep net, the estimator can theoretically realize the optimal learning rates without the classical saturation problem. In other words, deepening the networks with only three hidden layers can overcome the saturation and not degrade the optimal learning rates. The obtained results underlie the success of deep nets and provide a theoretical guidance for deep learning.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"293 - 309"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46320608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Local pointwise convergence of the 3D finite element 三维有限元的局部逐点收敛性
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-3911-9
Jing-hong Liu, Qi-ding Zhu
{"title":"Local pointwise convergence of the 3D finite element","authors":"Jing-hong Liu,&nbsp;Qi-ding Zhu","doi":"10.1007/s11766-023-3911-9","DOIUrl":"10.1007/s11766-023-3911-9","url":null,"abstract":"<div><p>For an elliptic problem with variable coefficients in three dimensions, this article discusses local pointwise convergence of the three-dimensional (3D) finite element. First, the Green’s function and the derivative Green’s function are introduced. Secondly, some relationship of norms such as <i>L</i><sup>2</sup>-norms, <i>W</i><sup>1,∞</sup>-norms, and negative-norms in locally smooth subsets of the domain Ω is derived. Finally, local pointwise convergence properties of the finite element approximation are obtained.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"210 - 222"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-3911-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41890084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems 复杂非局部Sturm-Liouville问题特征值的估计
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-03-16 DOI: 10.1007/s11766-023-3991-6
Fu Sun, Kun Li
{"title":"Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems","authors":"Fu Sun,&nbsp;Kun Li","doi":"10.1007/s11766-023-3991-6","DOIUrl":"10.1007/s11766-023-3991-6","url":null,"abstract":"<div><p>The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems. The bounds of the real and imaginary parts of eigenvalues for the nonlocal Sturm-Liouville differential equation involving complex nonlocal potential terms associated with nonlocal boundary conditions are obtained in terms of the integrable conditions of coefficients and the real part of the eigenvalues.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"100 - 110"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-3991-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44590172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method 光孤子的色散传播与Kundu-Eckhaus动力学方程的孤立波解
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-03-16 DOI: 10.1007/s11766-023-3861-2
Aly R. Seadawy, Mujahid Iqbal
{"title":"Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method","authors":"Aly R. Seadawy,&nbsp;Mujahid Iqbal","doi":"10.1007/s11766-023-3861-2","DOIUrl":"10.1007/s11766-023-3861-2","url":null,"abstract":"<div><p>In this research work, we constructed the optical soliton solutions of nonlinear complex Kundu-Eckhaus (KE) equation with the help of modified mathematical method. We obtained the solutions in the form of dark solitons, bright solitons and combined dark-bright solitons, travelling wave and periodic wave solutions with general coefficients. In our knowledge earlier reported results of the KE equation with specific coefficients. These obtained solutions are more useful in the development of optical fibers, dynamics of solitons, dynamics of adiabatic parameters, dynamics of fluid, problems of biomedical, industrial phenomena and many other branches. All calculations show that this technique is more powerful, effective, straightforward, and fruitfulness to study analytically other higher-order nonlinear complex PDEs involves in mathematical physics, quantum physics, Geo physics, fluid mechanics, hydrodynamics, mathematical biology, field of engineering and many other physical sciences.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"16 - 26"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42312702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A Comparative study on generalized Manev potential and Newtonian potential in perturbed restricted four-body problem 摄动受限四体问题中广义马涅夫势与牛顿势的比较研究
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-03-16 DOI: 10.1007/s11766-023-3964-9
Jagadish Singh, Omale Solomon Okpanachi
{"title":"A Comparative study on generalized Manev potential and Newtonian potential in perturbed restricted four-body problem","authors":"Jagadish Singh,&nbsp;Omale Solomon Okpanachi","doi":"10.1007/s11766-023-3964-9","DOIUrl":"10.1007/s11766-023-3964-9","url":null,"abstract":"<div><p>The motion of a test particle within the context of the restricted four-body problem (R4BP) driven by a new kind of potential, called the generalized Manev potential, with perturbations in the Coriolis and centrifugal forces is considered in this study. The system possesses eight libration points which were distributed on its plane of motion in different manner from those of the usual Newtonian potential. Unlike the case of the perturbed R4BP under Newtonian potential, where two of these librations are stable, all of them are unstable in linear sense under Manev potential. We found that a gradual perturbation in the centrifugal force causes the trajectories of motion to drift inward but the Coriolis force was proven to have no effect on the location of the libration points of the system. Using first order Lyapunov characteristic exponents, the dynamical behavior of the system is found irregular. We experimented with a high velocity stellar system (82 G. Eridani) to establish the applicability of the model in astrophysics.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"44 - 57"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47103354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Dynamical analysis and anti-synchronization of a new 6D model with self-excited attractors 一种新的具有自激吸引子的6D模型的动力学分析与反同步
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-03-16 DOI: 10.1007/s11766-023-3960-0
Saad Fawzi Al-Azzawi, Ahmed S. Al-Obeidi
{"title":"Dynamical analysis and anti-synchronization of a new 6D model with self-excited attractors","authors":"Saad Fawzi Al-Azzawi,&nbsp;Ahmed S. Al-Obeidi","doi":"10.1007/s11766-023-3960-0","DOIUrl":"10.1007/s11766-023-3960-0","url":null,"abstract":"<div><p>A novel 6D dissipative model with an unstable equilibrium point is introduced herein. Some of the dynamic characteristics of the proposed model were explored via analyses and numerical simulations including critical points, stability, Lyapunov exponents, time phase portraits, and circuit implementation. Also, anti-synchronization phenomena were implemented on the new system. Firstly, the error dynamics is found. Then, four different controllers are adopted to stabilize this error relying on the nonlinear control technique with two main ways: linearization and Lyapunov stability theory. In comparison with previous works, the present controllers realize anti-synchronization based on another method/linearization method. Finally, a comparison between the two ways was made. The simulation results show the effectiveness and accuracy of the first analytical strategy.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"27 - 43"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48918718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Application and comparison of kernel functions for linear parameter varying model approximation of nonlinear systems 核函数在非线性系统线性变参数模型逼近中的应用与比较
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-03-16 DOI: 10.1007/s11766-023-3965-8
Faisal Saleem, Ahsan Ali, Inam-ul-hassan Shaikh, Muhammad Wasim
{"title":"Application and comparison of kernel functions for linear parameter varying model approximation of nonlinear systems","authors":"Faisal Saleem,&nbsp;Ahsan Ali,&nbsp;Inam-ul-hassan Shaikh,&nbsp;Muhammad Wasim","doi":"10.1007/s11766-023-3965-8","DOIUrl":"10.1007/s11766-023-3965-8","url":null,"abstract":"<div><p>In this paper, a comparative study for kernel-PCA based linear parameter varying (LPV) model approximation of sufficiently nonlinear and reasonably practical systems is carried out. Linear matrix inequalities (LMIs) to be solved in LPV controller design process increase exponentially with the increase in a number of scheduling variables. Fifteen kernel functions are used to obtain the approximate LPV model of highly coupled nonlinear systems. An error to norm ratio of original and approximate LPV models is introduced as a measure of accuracy of the approximate LPV model. Simulation examples conclude the effectiveness of kernel-PCA for LPV model approximation as with the identification of accurate approximate LPV model, computation complexity involved in LPV controller design is decreased exponentially.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"58 - 77"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49458444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
On new classes of strongly Janowski type functions of complex order 关于复阶强Janowski型函数的新类
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-03-16 DOI: 10.1007/s11766-023-3990-7
Khalil Ahmad, Khudija Bibi, M. Sajjad Shabbir
{"title":"On new classes of strongly Janowski type functions of complex order","authors":"Khalil Ahmad,&nbsp;Khudija Bibi,&nbsp;M. Sajjad Shabbir","doi":"10.1007/s11766-023-3990-7","DOIUrl":"10.1007/s11766-023-3990-7","url":null,"abstract":"<div><p>We investigate some new subclasses of analytic functions of Janowski type of complex order. We also study inclusion properties, distortion theorems, coefficient bounds and radius of convexity of the functions. Moreover, analytic properties of these classes under certain integral operator are also discussed. Our findings are more comprehensive than the existing results in the literature.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"89 - 99"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42346188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
New hybrid inertial CQ projection algorithms with line-search process for the split feasibility problem 求解分裂可行性问题的带线性搜索过程的混合惯性CQ投影新算法
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-03-16 DOI: 10.1007/s11766-023-4464-7
Ya-zheng Dang, Long Wang, Yao-heng Yang
{"title":"New hybrid inertial CQ projection algorithms with line-search process for the split feasibility problem","authors":"Ya-zheng Dang,&nbsp;Long Wang,&nbsp;Yao-heng Yang","doi":"10.1007/s11766-023-4464-7","DOIUrl":"10.1007/s11766-023-4464-7","url":null,"abstract":"<div><p>In this paper, we propose two hybrid inertial CQ projection algorithms with line-search process for the split feasibility problem. Based on the hybrid CQ projection algorithm, we firstly add the inertial term into the iteration to accelerate the convergence of the algorithm, and adopt flexible rules for selecting the stepsize and the shrinking projection region, which makes an optimal stepsize available at each iteration. The shrinking projection region is the intersection of three sets, which are the set <i>C</i> and two hyperplanes. Furthermore, we modify the Armijo-type line-search step in the presented algorithm to get a new algorithm.The algorithms are shown to be convergent under certain mild assumptions. Besides, numerical examples are given to show that the proposed algorithms have better performance than the general CQ algorithm.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"144 - 158"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-4464-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43703874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
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
现在去查看 取消
×
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