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Nested saturation control of Mecanum-wheeled mobile robot under stochastic disturbances and input constraints 随机干扰和输入约束下机械轮式移动机器人的嵌套饱和控制
IF 4 2区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2026-02-06 DOI: 10.1016/j.amc.2026.130009
Ruijie Yin, Zhaojing Wu, Likang Feng
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引用次数: 0
Counting rational points on Hirzebruch–Kleinschmidt varieties over global function fields 全局函数域上Hirzebruch-Kleinschmidt变的有理点计数
IF 0.7 3区 数学 Q3 MATHEMATICS Pub Date : 2026-02-06 DOI: 10.1016/j.jnt.2026.01.008
Sebastián Herrero , Tobías Martínez , Pedro Montero
Inspired by Bourqui's work on anticanonical height zeta functions on Hirzebruch surfaces, we study height zeta functions of complete smooth split toric varieties with Picard rank 2 over global function fields, with respect to height functions associated with big metrized line bundles. We show that these varieties can be naturally decomposed into a finite disjoint union of subvarieties, where precise analytic properties of the corresponding height zeta functions can be given. As application, we obtain asymptotic formulas for the number of rational points of large height on each subvariety, with explicit leading constants and controlled error terms.
受Bourqui关于Hirzebruch曲面上反正则高度zeta函数的工作的启发,我们研究了全局函数域上具有Picard秩2的完全光滑分裂环型的高度zeta函数,以及与大度量线束相关的高度函数。我们证明了这些变量可以自然地分解为子变量的有限不相交并,在这个子变量中可以给出相应高度zeta函数的精确解析性质。作为应用,我们得到了各子簇上大高度有理点个数的渐近公式,具有显式的前导常数和控制误差项。
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引用次数: 0
Disturbance estimator-based tracking control for fractional-order Takagi-Sugeno fuzzy switched control systems 基于扰动估计的分数阶Takagi-Sugeno模糊切换控制系统跟踪控制
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2026-02-06 DOI: 10.1016/j.cnsns.2026.109817
R. Vanitha, T. Satheesh, V.T. Elayabharath, Y. Ren, R. Sakthivel
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引用次数: 0
Tucker decomposition with a temporal regularization for gap recovery in 3D motion capture data 三维运动捕捉数据间隙恢复的时间正则化Tucker分解
IF 4 2区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2026-02-06 DOI: 10.1016/j.amc.2026.129996
Souad Mohaoui, Andrii Dmytryshyn
{"title":"Tucker decomposition with a temporal regularization for gap recovery in 3D motion capture data","authors":"Souad Mohaoui, Andrii Dmytryshyn","doi":"10.1016/j.amc.2026.129996","DOIUrl":"https://doi.org/10.1016/j.amc.2026.129996","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"37 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134763","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
Burgess-type character sum estimates over generalized arithmetic progressions of rank 2 广义等差数列上的burgess型字符和估计
IF 0.9 3区 数学 Q2 MATHEMATICS Pub Date : 2026-02-06 DOI: 10.1112/blms.70293
Ali Alsetri, Xuancheng Shao

We extend the classical Burgess estimates to character sums over proper generalized arithmetic progressions (GAPs) of rank 2 in prime fields Fp$mathbb {F}_p$. The core of our proof is a sharp upper bound for the multiplicative energy of these sets, established by adapting an argument of Konyagin and leveraging tools from the geometry of numbers. A key step in our argument involves establishing new upper bounds for the sizes of Bohr sets, which may be of independent interest.

将经典的Burgess估计推广到素数域F p$ mathbb {F}_p$中秩为2的适当广义算术级数(gap)上的字符和。我们证明的核心是这些集合的乘法能的一个明显的上界,这个上界是通过采用Konyagin的一个论证和利用数的几何工具来建立的。我们论证的一个关键步骤是为玻尔集的大小建立新的上界,这可能是独立的兴趣。
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引用次数: 0
Nonlinear quadrupole topological insulators 非线性四极拓扑绝缘子
IF 7.8 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-02-06 DOI: 10.1016/j.chaos.2026.118044
Rujiang Li, Wencai Wang, Yongtao Jia, Ying Liu, Pengfei Li, Boris A. Malomed
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引用次数: 0
Pólya's conjecture for Dirichlet eigenvalues of annuli Pólya关于环空狄利克雷特征值的猜想
IF 1.2 2区 数学 Q1 MATHEMATICS Pub Date : 2026-02-06 DOI: 10.1112/jlms.70425
Nikolay Filonov, Michael Levitin, Iosif Polterovich, David A. Sher

We prove Pólya's conjecture for the eigenvalues of the Dirichlet Laplacian on annular domains. Our approach builds upon and extends the methods we previously developed for disks and balls. It combines variational bounds, estimates of Bessel phase functions, refined lattice point counting techniques and a rigorous computer-assisted analysis. As a by-product, we also derive a two-term upper bound for the Dirichlet eigenvalue counting function of the disk, improving upon Pólya's original estimate.

我们证明了Pólya关于环域上狄利克雷拉普拉斯特征值的猜想。我们的方法建立并扩展了我们以前为磁盘和球开发的方法。它结合了变分边界、贝塞尔相函数的估计、精细的点阵计数技术和严格的计算机辅助分析。作为一个副产品,我们也得到了圆盘的Dirichlet特征值计数函数的两项上界,改进了Pólya的原始估计。
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引用次数: 0
Monotonicity and Convergence of Two-Relaxation-Times Lattice Boltzmann Schemes for a Nonlinear Conservation Law 一类非线性守恒律的双松弛次晶格Boltzmann格式的单调性和收敛性
IF 2.9 2区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2026-02-06 DOI: 10.1137/25m1725218
Denise Aregba-Driollet, Thomas Bellotti
SIAM Journal on Numerical Analysis, Volume 64, Issue 1, Page 251-276, February 2026.
Abstract. We address the convergence analysis of lattice Boltzmann methods for scalar nonlinear conservation laws, focusing on two-relaxation-times (TRT) schemes. Unlike Finite Difference/Finite Volume methods, lattice Boltzmann schemes offer exceptional computational efficiency and parallelization capabilities. However, their monotonicity and [math]-stability remain underexplored. Extending existing results on simpler BGK schemes, we derive conditions ensuring that TRT schemes are monotone and stable by leveraging their unique relaxation structure. Our analysis culminates in proving convergence of the numerical solution to the weak entropy solution of the conservation law. Compared to BGK schemes, TRT schemes achieve reduced numerical diffusion while retaining provable convergence. Numerical experiments validate and illustrate the theoretical findings.
SIAM数值分析杂志,64卷,第1期,第251-276页,2026年2月。摘要。我们讨论了标量非线性守恒律的晶格玻尔兹曼方法的收敛性分析,重点是两松弛时间(TRT)格式。与有限差分/有限体积方法不同,晶格玻尔兹曼方案提供了卓越的计算效率和并行化能力。然而,它们的单调性和[数学]稳定性仍未得到充分研究。推广已有的关于更简单的BGK方案的结果,我们利用TRT方案独特的松弛结构,得到了保证TRT方案单调和稳定的条件。我们的分析最终证明了守恒定律弱熵解的数值解的收敛性。与BGK格式相比,TRT格式在保持可证明收敛性的同时减少了数值扩散。数值实验验证了理论结果。
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引用次数: 0
Coevolution modeling for network public opinion with bidirectional feedback mechanism 基于双向反馈机制的网络舆情协同进化模型
IF 4 2区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2026-02-06 DOI: 10.1016/j.amc.2026.130008
Yinxin Chang, Xiaojuan Cheng, Yalun Wu, Peng Wu, Gang Li
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引用次数: 0
Construction of the polygonal and faceted polyhedral elements with high order completeness based on the scaled boundary coordinates 基于尺度边界坐标的高阶完备性多边形和多面体元的构造
IF 2.9 2区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2026-02-06 DOI: 10.1016/j.camwa.2026.01.035
Ying Zhang, Chong-Jun Li
{"title":"Construction of the polygonal and faceted polyhedral elements with high order completeness based on the scaled boundary coordinates","authors":"Ying Zhang, Chong-Jun Li","doi":"10.1016/j.camwa.2026.01.035","DOIUrl":"https://doi.org/10.1016/j.camwa.2026.01.035","url":null,"abstract":"","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"17 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134767","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
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