Applied Mathematics and Computation最新文献_第2页

Classical conditions for (weakly-)antistrong digraphs （弱-）反强有向图的经典条件

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-10 DOI: 10.1016/j.amc.2025.129593

Lili Yuan , Jixiang Meng

{"title":"Classical conditions for (weakly-)antistrong digraphs","authors":"Lili Yuan , Jixiang Meng","doi":"10.1016/j.amc.2025.129593","DOIUrl":"10.1016/j.amc.2025.129593","url":null,"abstract":"<div><div>An antidirected trail in a digraph is one where the arcs alternate between moving forward and backward. In particular, an antidirected trail is categorized as a forward antidirected trail if it begins and ends with a forward arc. A digraph <em>D</em> with <em>n</em> vertices (where <span><math><mi>n</mi><mo>≥</mo><mn>3</mn></math></span>) is termed antistrong if, for any pair of vertices <em>p</em> and <em>q</em> in <span><math><mi>V</mi><mo>(</mo><mi>D</mi><mo>)</mo></math></span>, there exists a forward antidirected trail from <em>p</em> to <em>q</em>. Additionally, a digraph <em>D</em> is weakly-antistrong if, for any pair of vertices <em>p</em> and <em>q</em> in <span><math><mi>V</mi><mo>(</mo><mi>D</mi><mo>)</mo></math></span>, there exists either a forward-backward antidirected <span><math><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></math></span>-trail or a forward antidirected <span><math><mo>(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo>)</mo></math></span>-trail. In this study, we provide a degree sum condition for digraphs to be (weakly)-antistrong, which is superior to the ore-type condition given by Yuan (2023). We additionally present necessary and sufficient condition for bipartite digraphs to qualify as weakly-antistrong, and necessary and sufficient conditions for transitive digraphs and total digraphs to be antistrong. Furthermore, we give an arc number condition for digraphs to be antistrong.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129593"},"PeriodicalIF":3.5,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144242160","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

Asymptotics towards nonlinear diffusion waves for the solutions of a hyperbolic system with linear damping on quadrant 在象限上具有线性阻尼的双曲型系统解的非线性扩散波的渐近性

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-09 DOI: 10.1016/j.amc.2025.129577

Balakrishna Chhatria, T. Raja Sekhar

引用次数: 0

Stability of partially unstable discrete-time switched positive nonlinear systems with delays 部分不稳定时滞离散时间切换正非线性系统的稳定性

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-09 DOI: 10.1016/j.amc.2025.129591

Jinyuan Ni , Yin Sheng , Qiang Xiao , Zhigang Zeng , Tingwen Huang

引用次数: 0

Inverse source problems for identifying time and space-dependent coefficients in a 2D generalized diffusion equation 二维广义扩散方程中时空相关系数识别的逆源问题

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-09 DOI: 10.1016/j.amc.2025.129597

Asim Ilyas , Stefano Serra-Capizzano

引用次数: 0

Q-learning driven cooperative evolution with dual-reputation incentive mechanisms 双声誉激励机制下q学习驱动的合作进化

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-06 DOI: 10.1016/j.amc.2025.129590

Qianwei Zhang, Xinran Zhang

{"title":"Q-learning driven cooperative evolution with dual-reputation incentive mechanisms","authors":"Qianwei Zhang, Xinran Zhang","doi":"10.1016/j.amc.2025.129590","DOIUrl":"10.1016/j.amc.2025.129590","url":null,"abstract":"<div><div>Reinforcement learning, as a powerful framework for analyzing strategic dynamics in evolutionary games, has gained significant traction in game theory research. In this study, we propose a dual-reputation incentive mechanism that integrates individual and group reputation metrics within the spatial Prisoner's Dilemma paradigm, aiming to elucidate how adaptive Q-learning drives the evolution of cooperation. Our approach combines traditional game payoffs with reputation-based rewards through a novel Q-learning reward function, strategically decomposing reputation into two components: individual rewards (quantifying an agent’s behavioral history) and group rewards (reflecting the collective reputation of their local neighborhood). Simulations demonstrate that when individual reputation rewards are prioritized, agents optimize long-term gains by dynamically adjusting strategies under strong motivational incentives, which ultimately enhances global cooperation levels. Microscopic analysis reveals that individual reputation incentives promote high-density cooperator clusters and facilitate cooperative behavior propagation. Furthermore, when a high weight is assigned to individual reputation rewards, evolutionary analysis demonstrates that cooperative Q-values consistently exceeds defective ones, indicating the emergence of cooperation as an evolutionarily stable strategy. This research provides theoretical insights for designing reputation-aware reinforcement learning systems to foster cooperation in real-world social dilemmas.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129590"},"PeriodicalIF":3.5,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144222926","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

A Tikhonov-type method for inverse source problems for time-space fractional parabolic equations 时空分数抛物型方程反源问题的tikhonov型方法

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-06 DOI: 10.1016/j.amc.2025.129567

Nguyen Van Duc , Thi-Phong Nguyen

引用次数: 0

Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategy 基于动态事件触发控制策略的非线性系统的预定义时间Lyapunov稳定性

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-06 DOI: 10.1016/j.amc.2025.129558

Jie Wu , Rongni Yang , Levente Kovacs , Peng Shi

引用次数: 0

Observer-based fixed-time topology identification and synchronization for complex networks via quantized pinning control strategy 基于观测器的复杂网络固定时间拓扑识别与量化固定控制策略同步

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-04 DOI: 10.1016/j.amc.2025.129568

Huaiqin Wu , Xueqing Zhao , Lingyan Wang , Jinde Cao

引用次数: 0

Asymptotics for the coefficients of the truncated theta series 截断级数系数的渐近性

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-04 DOI: 10.1016/j.amc.2025.129592

Renrong Mao

引用次数: 0

Decoding rhythmic complexity: A nonlinear dynamics approach via visibility graphs for classifying asymmetrical rhythmic frameworks of Turkish classical music 解码节奏复杂性：一种非线性动力学方法，通过可见性图分类土耳其古典音乐的不对称节奏框架

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-06-04 DOI: 10.1016/j.amc.2025.129565

Fuat Kaan Mirza , Tunçer Baykaş , Mustafa Hekimoğlu , Önder Pekcan , Gönül Paçacı Tunçay

{"title":"Decoding rhythmic complexity: A nonlinear dynamics approach via visibility graphs for classifying asymmetrical rhythmic frameworks of Turkish classical music","authors":"Fuat Kaan Mirza , Tunçer Baykaş , Mustafa Hekimoğlu , Önder Pekcan , Gönül Paçacı Tunçay","doi":"10.1016/j.amc.2025.129565","DOIUrl":"10.1016/j.amc.2025.129565","url":null,"abstract":"<div><div>The non-isochronous, hierarchical rhythmic cycles (usuls) of Turkish Classical Music (TCM) exhibit emergent temporal structures that challenge conventional rhythm analysis based on metrical regularity. To address this challenge, this study presents a complexity-oriented framework for usul classification, grounded in nonlinear time series analysis and network-based representations. Rhythmic signals are processed through energy envelope extraction, diffusion entropy analysis, and spectral transformations to capture multiscale temporal dynamics. Visibility graphs (VGs) are constructed from these representations to encode underlying structural complexity and temporal dependencies. Features derived from VG adjacency matrices serve as complexity-sensitive descriptors and enable high-accuracy classification (0.99) across 40 usul classes and 628 compositions. Energy envelope-derived graphs provide the most discriminative information, highlighting the importance of amplitude modulation in encoding rhythmic structure. Beyond classification, the analysis reveals self-organizing patterns and signatures of complexity, such as quasi-periodicity, scale-dependent variability, and entropy saturation, suggesting that usuls function as adaptive, nonlinear systems rather than metrically constrained patterns. The topological features extracted from the resulting graphs align with theoretical constructs from complexity science, such as modularity and long-range temporal correlations. This positions usul as an exemplary case for studying structured temporal complexity in cultural artifacts through the lens of dynamical systems. These findings contribute to computational rhythm analysis by demonstrating the efficacy of complexity measures in characterizing culturally specific rhythmic systems.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129565"},"PeriodicalIF":3.5,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144204039","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