IF 3.2 2区数学

Chaos Pub Date : 2025-08-01 DOI: 10.1063/5.0260624

Gege Wang, Xiaolong Wang, Qi Liu, Jürgen Kurths, Yong Xu

引用次数: 0

Identifying clique influences in hypergraphs via the simplicial complex with applications in scientific collaborations. 通过简单复合体识别超图中的派系影响及其在科学合作中的应用。

IF 3.2 2区数学

Chaos Pub Date : 2025-08-01 DOI: 10.1063/5.0273245

Xiaolu Liu, Chong Zhao

{"title":"Identifying clique influences in hypergraphs via the simplicial complex with applications in scientific collaborations.","authors":"Xiaolu Liu, Chong Zhao","doi":"10.1063/5.0273245","DOIUrl":"https://doi.org/10.1063/5.0273245","url":null,"abstract":"Due to their ability to express higher-order structures, hypergraphs are becoming a central topic in network analysis. In this paper, we propose a parameter-free clique centrality index for all the hypergraphs, including hypergraphs involving singleton hyperedges and disconnected hypergraphs. We construct a hereditary class by introducing the null simplex into the simplicial complex of a hypergraph. Summarizing the boundary-coboundary relations in the hereditary complex, the hereditary diagram is defined and naturally connected. Inner and outer centrality indices are defined for all simplices with respect to the dual relations of the coboundary and boundary, respectively, and made into a global circuit whose steady state defines the Hereditary DualRank centrality. Based on the ratio of the outer and inner centralities of a simplex, we define its effectiveness, which describes the relative productivity of the corresponding clique. Applying the Hereditary DualRank centrality to a scientific collaboration dataset, we analyze individual choices in collaborations, reflecting, in detail, the trend that scholars seek for relatively effective cooperations in upcoming research. Based on the individual effectiveness values, we define the efficiency index of collaboration and reveal its negative correlation with the dispersity of individual effectiveness values. This work offers an in-depth topological understanding of the evolution and dynamics of hypergraphs.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 8","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144793530","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

Economic collapse under epidemic-induced lockdowns and its prediction: A coupled dynamics approach. 流行病导致的封锁下的经济崩溃及其预测：耦合动力学方法。

IF 3.2 2区数学

Chaos Pub Date : 2025-08-01 DOI: 10.1063/5.0284293

Sudipta Panda, Sagar Karmakar, Abhijnan Chattopadhyay, Joydev Chattopadhyay

{"title":"Economic collapse under epidemic-induced lockdowns and its prediction: A coupled dynamics approach.","authors":"Sudipta Panda, Sagar Karmakar, Abhijnan Chattopadhyay, Joydev Chattopadhyay","doi":"10.1063/5.0284293","DOIUrl":"https://doi.org/10.1063/5.0284293","url":null,"abstract":"The sudden outbreak of an epidemic poses a significant challenge to alleviating global poverty. To suppress the epidemic, governments impose restrictions on social and economic activities. While most studies discuss the indirect impact of social restrictions on disease and the economy, the effects of economic restrictions-such as workplace and business closures, workforce capacity limits, international trade and travel restrictions, and supply chain disruptions (collectively called economic lockdown)-exert a harsh impact on the economy, which remains largely overlooked. This study addresses this gap by proposing a novel coupled epidemiological-economic model integrating economic lockdown (EL) effects. The model reveals multi-stability varying EL stringency and country's economic status, highlighting a reciprocal relationship between economy and disease burden. Empirical support is provided through structural statistical equation analysis. Our findings show that while a minor stringency can destabilize a low-income economy, middle-income countries are also vulnerable to stagnation, potentially falling into a \"middle-income trap\" driven by economic lockdown. We explore early warning signals for economic collapse induced by EL stringency across different types of economies. Overall, our study provides critical insights for policymakers in both economic and public health sectors, underscoring the importance of balancing economic lockdown measures to prevent poverty and middle-income traps.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 8","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144834260","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

Multiple coexisting attractors and self-organized distribution of periodicity in a three-dimensional system. 三维系统中多个共存吸引子和周期的自组织分布。

IF 3.2 2区数学

Chaos Pub Date : 2025-08-01 DOI: 10.1063/5.0278421

Sarbari Karmakar, Nikhil Pal

引用次数: 0

Stability of uniformly incoherent state in the D-dimensional generalized Kuramoto model. d维广义Kuramoto模型中均匀非相干态的稳定性。

IF 3.2 2区数学

Chaos Pub Date : 2025-08-01 DOI: 10.1063/5.0285606

Xiaoting Zhang, Wei Zou

{"title":"Stability of uniformly incoherent state in the D-dimensional generalized Kuramoto model.","authors":"Xiaoting Zhang, Wei Zou","doi":"10.1063/5.0285606","DOIUrl":"https://doi.org/10.1063/5.0285606","url":null,"abstract":"In this paper, we are devoted to theoretically analyzing the stability of the completely incoherent state in the D-dimensional generalized Kuramoto model within the same one framework, where a completely incoherent state refers to that all agents are uniformly distributed on surface S of the unit sphere in D-dimensional space. By linearizing the continuity equation of the model in its thermodynamic limit, we obtain the characteristic equation that governs the linear stability of the uniformly incoherent state for arbitrary dimension with D≥2. Moreover, we show that all the stability information regarding the complete incoherence can be successfully retrieved from the reduced system via high-dimensional Ott-Antonsen ansatz for the D-dimensional generalized Kuramoto model. For a Gaussian ensemble of natural rotations, we demonstrate that the characteristic equation can be explicitly simplified for both even and odd D. In particular, via the simplified characteristic equation, we verify theoretically that the critical coupling strength for the instability of the uniformly incoherent state is always retained at zero for all odd D≥3. Our study provides a detailed recipe for the stability analysis of complete incoherence in the D-dimensional generalized Kuramoto model, which is potential for identifying the onset of phase transition to synchrony in systems of interacting high-dimensional heterogeneous agents.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 8","pages":""},"PeriodicalIF":3.2,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144834262","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

Stability of parametrically driven, damped nonlinear Dirac solitons. 参数驱动、阻尼非线性狄拉克孤子的稳定性。

IF 3.2 2区数学

Chaos Pub Date : 2025-08-01 DOI: 10.1063/5.0281726

Bernardo Sánchez-Rey, David Mellado-Alcedo, Niurka R Quintero

引用次数: 0

A multi-market model with heterogeneous agents and switching mechanism. 具有异质代理和交换机制的多市场模型。

IF 3.2 2区数学

Chaos Pub Date : 2025-08-01 DOI: 10.1063/5.0274253

Serena Brianzoni, Giovanni Campisi

引用次数: 0

Tale of one emergent game: Opinion formation in dynamical undirected hypergraphs. 一个突发博弈的故事：动态无向超图中的意见形成。