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A new method for constructing designs and codes from the conjugacy classes of groups 从群的共轭类构造设计和编码的新方法
IF 1.6 2区 数学 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-12-20 DOI: 10.1007/s10623-025-01774-x
Amin Saeidi, Hadiseh Saydi, Thekiso Seretlo
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引用次数: 0
Lemmas on traceability codes and an upper bound for 4-traceability 可追溯性码的引理及4-可追溯性的上界
IF 1.6 2区 数学 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-12-20 DOI: 10.1007/s10623-025-01748-z
Huilan Chang, Ching-Chih Hsu
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引用次数: 0
An improved model for dynamic analysis of merging flow including luggage-laden pedestrians in Y-shaped corridors 一种改进的含行李行人的y形走廊合并流动态分析模型
IF 5.6 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-20 DOI: 10.1016/j.chaos.2025.117758
Yunqian Chen , Yizhi Shi , Libi Fu , Tianpei Zhu , Yining Jia , Meiqi Deng , Yongqian Shi
Transportation hubs exhibit complex spatial configurations, generating multi-directional pedestrian flows in merging areas. Meanwhile, the heterogeneity of individual behavior further complicates pedestrian dynamics. Based on practical observations, this research establishes a modified social force model to investigate nonlinear dynamics of merging flow including luggage-laden pedestrians in Y-shaped corridors under different merging angles. Passing time and time evolution of the number of pedestrians confirms the consistency between the simulation model and an experiment. Evidently, when the total number of pedestrians increases, the flow rate shows no significant growth trend in the downstream. Meanwhile, it is observed that the flow rate in angle 45° is higher than others. Time headway further confirms this phenomenon, indicating that there is a correlation between the merging efficiency and the width of the main passage. Consistent with the previous experiment, the inverse relationship between passing performance and the proportions of luggage-laden pedestrians exists in the model. Furthermore, luggage-laden pedestrians maintain significantly larger interpersonal distance than pedestrians without luggage. The distribution of crowd pressure exhibits an increasing trend along the exit direction, and the distribution is similar to the shape of two adjacent droplets. In addition, the result reveals that the total number of pedestrians and the mixture ratios of luggage-laden pedestrians are positively correlated with crowd pressure. It is hoped that these findings will be helpful for mitigating congestion and improving pedestrian safety in merging infrastructure.
交通枢纽表现出复杂的空间配置,在合并区域产生多向的行人流。同时,个体行为的异质性使行人动力学进一步复杂化。在实际观察的基础上,建立了一个修正的社会力模型,研究了不同合流角度下含行李行人的y形通道合流的非线性动力学。行人数量的时间流逝和时间演化验证了仿真模型与实验的一致性。显然,当行人总数增加时,下游流量没有明显的增长趋势。同时,观察到45°角的流量高于其他角。车头时距进一步证实了这一现象,表明合并效率与主干道宽度之间存在相关性。与之前的实验一致,模型中行人的通行性能与负重行人的比例呈反比关系。此外,携带行李的行人保持的人际距离明显大于未携带行李的行人。人群压力沿出口方向分布呈增大趋势,分布形态类似于相邻两个液滴。此外,研究结果表明,行人总数和行李行人混合比例与人群压力呈正相关。希望这些发现将有助于缓解拥堵和改善行人安全的合并基础设施。
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引用次数: 0
A characterization of the Grassmann graphs: One missing case 格拉斯曼图的表征:一个缺失的情况
IF 0.9 3区 数学 Q1 MATHEMATICS Pub Date : 2025-12-20 DOI: 10.1016/j.ejc.2025.104320
Jack H. Koolen , Chenhui Lv , Alexander L. Gavrilyuk
We prove that the Grassmann graphs J2(2D+3,D), D3, are characterized by their intersection numbers, which settles one of the few remaining cases.
我们证明了Grassmann图J2(2D+3,D), D≥3是由它们的相交数来表征的,这解决了剩下的少数情况之一。
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引用次数: 0
Binary duadic codes and their related codes with a square-root-like lower bound 具有类似平方根下界的二进制二进码及其相关码
IF 1.6 2区 数学 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-12-20 DOI: 10.1007/s10623-025-01759-w
Tingting Wu, Lanqiang Li, Xiuyu Zhang, Shixin Zhu
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引用次数: 0
Persistence and spatial propagation of an impulsive integro-differential model with non-local pulse. 非局域脉冲脉冲积分微分模型的持续与空间传播。
IF 2.3 4区 数学 Q2 BIOLOGY Pub Date : 2025-12-20 DOI: 10.1007/s00285-025-02333-7
Lei Lu, Jia-Bing Wang

In order to investigate the spatial distribution and evolution dynamics of populations exhibiting synchronized reproduction and two stage long-distance dispersal modes, in this paper we propose an impulsive integro-differential model with non-local pulse. Firstly, we establish the extinction and persistence dynamics on the bounded domain with Dirichlet boundary of non-local type. Secondly, we derive the existence and characterization of the spreading speed in the whole space as well as the consistency with the minimum wave speed of the traveling waves. Finally, numerical simulations are presented to study the effects of different dispersal patterns and dispersal allocation strategy on population persistence and spreading speed under a constant measure of total dispersal. Our results show that under the same overall variance, the non-local diffusion pattern has both higher steady-state density and greater spreading speed than the local diffusion pattern. Moreover, under the fixed total dispersal, the optimal state for both population persistence and spreading speed is usually achieved through a stage-concentrated dispersal strategy, where dispersal occurs in a single life stage and the other stages remain sedentary. Additionally, we numerically investigate the impact of overcompensation on threshold and propagation dynamics, serving as a complement to the theoretical results in the non-monotonic case. This work provides new insights into the understanding of non-local interactions in biology and ecology.

为了研究具有同步繁殖和两阶段远距离扩散模式的种群的空间分布和进化动态,本文提出了一个具有非局部脉冲的脉冲积分-微分模型。首先,在非局部型Dirichlet边界的有界区域上建立消隐和持续动力学。其次,导出了整个空间中传播速度的存在性和表征,以及与行波最小波速的一致性;最后,通过数值模拟研究了在一定的总扩散尺度下,不同的扩散模式和分散分配策略对种群持久性和扩散速度的影响。结果表明,在相同的总方差下,非局部扩散模式比局部扩散模式具有更高的稳态密度和更大的扩散速度。此外,在总扩散固定的情况下,种群持久性和扩散速度的最优状态通常是阶段集中的扩散策略,即在一个生命阶段进行扩散,而其他阶段保持静止。此外,我们数值研究了过补偿对阈值和传播动力学的影响,作为非单调情况下理论结果的补充。这项工作为理解生物学和生态学中的非局部相互作用提供了新的见解。
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引用次数: 0
Generalized quasikernels in digraphs 有向图中的广义拟核
IF 0.9 3区 数学 Q1 MATHEMATICS Pub Date : 2025-12-20 DOI: 10.1016/j.ejc.2025.104307
Sam Spiro
Given a digraph D, we say that a set of vertices QV(D) is a q-kernel if Q is an independent set and if every vertex of D can be reached from Q by a path of length at most q. In this paper, we initiate the study of several extremal problems for q-kernels. For example, we introduce and make progress on (what turns out to be) a weak version of the Small Quasikernel Conjecture, namely that every digraph contains a q-kernel with |N+[Q]|12|V(D)| for all q2.
给定一个有向图D,如果Q是一个独立的集合,且D的每个顶点从Q出发可经一条长度不超过Q的路径到达,则称顶点集Q≥V(D)为Q核。本文研究了Q核的几个极值问题。例如,我们引入并在小拟核猜想的弱版本上取得了进展,即每个有向图都包含一个Q核,其中|N+[Q]|≥12|V(D)|对于所有Q≥2。
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引用次数: 0
Towards direct 100-fs visible output at 750 nm from holmium fiber lasers: soliton dynamics and dispersion optimization 朝向直接100-fs可见输出在750纳米从钬光纤激光器:孤子动力学和色散优化
IF 7.8 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-20 DOI: 10.1016/j.chaos.2025.117779
Wei Shi, Yaolin Fei, Wensong Li
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引用次数: 0
An Energy-Consistent Model of Persistent Adhesive Contact for Hyperelastic Materials: Theory, Discretization, and Applications 超弹性材料持久黏着接触的能量一致模型:理论、离散化和应用
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-12-20 DOI: 10.1016/j.cnsns.2025.109604
Mikaël Barboteu, Francesco Bonaldi, Serge Dumont, Rawane Mansour
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引用次数: 0
Modeling dynamic ice–structure interaction with failure zones: Predicting resonance and chaotic responses 模拟冰结构与破坏区的动态相互作用:预测共振和混沌响应
IF 5.6 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-20 DOI: 10.1016/j.chaos.2025.117754
Andrei K. Abramian , Sergei A. Vakulenko , Ivan Sudakow
This paper develops a new analytical and numerical framework to study the nonlinear dynamics of elastic structures under intermittent, shock-like loading from drifting ice floes. Unlike conventional models, we take into account a mixture of water and ice in a failure zone at the ice–structure interface that allows us to describe complex behavior including periodic, resonant, and chaotic regimes. Using a Poincaré map approach, we derive asymptotic expressions for oscillation amplitudes and identify resonance conditions. Near resonance, oscillations amplify significantly, with sensitivity to damping and failure-zone properties. Random pulse loading is modeled via iterated function systems (IFS), predicting fractal attractors under weak damping. Simulations confirm these patterns and match experimental trends linking amplitude to ice velocity. The model captures three key regimes — periodic motion, resonance amplification, and chaotic response — and offers insight into how failure zones affect structural dynamics in ice-covered polar marine environments, supporting better prediction and mitigation of ice-induced vibrations.
本文提出了一种新的分析和数值框架来研究弹性结构在漂流浮冰的间歇性冲击载荷下的非线性动力学。与传统模型不同,我们在冰结构界面的破坏区考虑了水和冰的混合物,这使我们能够描述复杂的行为,包括周期、共振和混沌状态。利用庞卡罗映射方法,导出了振动幅值的渐近表达式,并确定了共振条件。在共振附近,振荡显著放大,对阻尼和失效区特性敏感。利用迭代函数系统(IFS)对随机脉冲载荷进行建模,预测弱阻尼条件下的分形吸引子。模拟证实了这些模式,并与将振幅与冰速联系起来的实验趋势相吻合。该模型捕获了三个关键机制——周期性运动、共振放大和混沌响应,并提供了关于失效区如何影响冰覆盖极地海洋环境中的结构动力学的见解,支持更好的预测和减轻冰引起的振动。
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