Chaos最新文献_第5页

Evolutionary games on higher-order networks. 高阶网络上的进化博弈。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0348359

Zihao Zhou, Haosen Wang, Jun Tang

{"title":"Evolutionary games on higher-order networks.","authors":"Zihao Zhou, Haosen Wang, Jun Tang","doi":"10.1063/5.0348359","DOIUrl":"https://doi.org/10.1063/5.0348359","url":null,"abstract":"Traditional evolutionary game theory often represents population structure with dyadic networks, although many applications require payoffs defined over groups. Hypergraphs and simplicial complexes retain group membership explicitly, but their effects must be distinguished from nonlinearities already present in multiplayer payoff functions. This structured scoping review separates these two sources of variation. A multiplayer nonlinear-payoff effect arises from thresholds, synergy, saturation, or heterogeneous group benefits on a fixed interaction structure. Such effects can occur in well-mixed or spatial groups without higher-order topology. A higher-order topological effect arises from explicit group membership, hyperedge overlap, inter-order organization, or simplicial closure. Its assessment requires the payoff, update rule, group-size distribution, and selection regime to be fixed or closely matched. A documented search through July 30, 2026 identified 85 core works: 80 primary studies and 5 conceptual or review articles. Across this evidence, nonlinear payoffs generate frequency dependence, internal equilibria, invasion thresholds, and, in some models, multistability. Higher-order topology instead changes group sharing, spillover between groups, and the routes to invasion or fixation. Discontinuous transitions and hysteresis are model outcomes whose origins depend on the complete payoff, topology, update, and feedback specification. Related graph-based research on fairness, trust, AI safety races, open-data stewardship, and cheap talk defines a broader agenda. Social welfare must also be evaluated separately from cooperation frequency. Direct empirical tests and factorial comparisons with matched baselines remain limited.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 9","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148873197","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

Cooperative spreading between information and epidemics in metapopulation networks with quarantine interventions. 在具有检疫干预措施的超人口网络中，信息与流行病之间的合作传播。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0347364

Congying Liu, Xiaoqun Wu, Xiaoyang Liu, Su Zhong, Zhu Liu

{"title":"Cooperative spreading between information and epidemics in metapopulation networks with quarantine interventions.","authors":"Congying Liu, Xiaoqun Wu, Xiaoyang Liu, Su Zhong, Zhu Liu","doi":"10.1063/5.0347364","DOIUrl":"https://doi.org/10.1063/5.0347364","url":null,"abstract":"In the era of Information 2.0, the intricate coupling between information diffusion and human behavioral patterns is reshaping the spatiotemporal dynamics of disease transmission, thereby posing substantial challenges to containing the cross-regional spread of epidemics. To address this issue, we modify the classical movement-interaction-return model by incorporating mobility-based detection and then investigate the effects of heterogeneity in mobility patterns, induced by information diffusion and quarantine strategies, on the dynamic behaviors of epidemic spreading in multiplex metapopulation networks. The derived epidemic threshold indicates that epidemic prevention and control measures become ineffective in the thermodynamic limit. Moreover, we identify a counterintuitive paradox that mobility-based detection strategies in metapopulations have little impact on the final prevalence of epidemics. In addition, we discover that controlling the diffusion process of the disease is more effective than controlling its reaction process. Our framework offers a new perspective on the spatiotemporal transmission of diseases in metapopulation networks, which might assist policymakers in designing more effective public health strategies.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 9","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149023941","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

Data-driven analysis of metastability in a stochastic bistable system. 随机双稳系统亚稳态的数据驱动分析。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0343926

Ankan Banerjee, Manuel Santos Gutiérrez, John Moroney, Valerio Lucarini

{"title":"Data-driven analysis of metastability in a stochastic bistable system.","authors":"Ankan Banerjee, Manuel Santos Gutiérrez, John Moroney, Valerio Lucarini","doi":"10.1063/5.0343926","DOIUrl":"https://doi.org/10.1063/5.0343926","url":null,"abstract":"We present a methodology to analyze metastable properties of a simple prototypical stochastic bistable system by identifying slow inter-well and fast saddle escape processes using the formalism of the Koopman operator. Instead of studying noise-induced transitions by following the trajectories of the system, we track them by studying the time evolution and the decay rate of the subdominant mode of the Koopman operator, thus in a geometry-agnostic framework. The obtained escape time statistics together with the decay rate are in good agreement with the predictions-both the exponential and subexponential ones-of large deviation theory in the weak-noise limit, both in equilibrium and nonequilibrium conditions. The subdominant Koopman mode also allows for an accurate reconstruction of the competing basins of attraction. Furthermore, going deeper in the Koopman spectrum, we are able to recognize modes that are associated with intra-well variability as well as with the escape of trajectories from the saddle toward the attractor, both in the equilibrium and nonequilibrium case. Our methodology, being grounded in purely data-driven techniques, could provide a comprehensive, multi-scale framework for studying high-dimensional metastable systems.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 9","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149015834","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

Hypergraph-based clustering via nonlocal nonlinear evolution operators. 基于非局部非线性演化算子的超图聚类。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0349918

Ana Isabel Muñoz, Regino Criado

{"title":"Hypergraph-based clustering via nonlocal nonlinear evolution operators.","authors":"Ana Isabel Muñoz, Regino Criado","doi":"10.1063/5.0349918","DOIUrl":"https://doi.org/10.1063/5.0349918","url":null,"abstract":"In this paper, we introduce a novel clustering framework for hypergraphs based on the evolution of pairwise dissimilarities through nonlinear and non-local discrete p-Laplacian-inspired operators in both isotropic and anisotropic formulations. Unlike most existing hypergraph clustering approaches, which evolve functions defined on vertices or hyperedges, the proposed methodology evolves a pairwise dissimilarity between vertices and couples this evolution with an agglomerative hyperedge clustering process. The resulting iterative scheme generates a hierarchy of hyperedge mergers driven by the progressive deformation of the dissimilarity measure. To illustrate the behavior of the proposed framework, we consider both a synthetic hypergraph and a biomedical classification problem based on the Indian Liver Patient Dataset. In the biomedical application, the method achieves higher recall, precision, and F1-score than a K-means baseline for the considered experimental setting. While the medical case study serves as an illustrative application, the main contribution of this work lies in the formulation of an evolution-driven clustering methodology based on non-local nonlinear operators acting on pairwise dissimilarities. The results suggest that such evolution-based dissimilarity updates provide a promising alternative for hypergraph clustering and the analysis of complex datasets.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 9","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148966946","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

Epidemic spreading on clustered networks with behavioral adaptation. 具有行为适应的群集网络中的流行病传播。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0342298

Xiao-Long Peng, Shu-Yan Chang, Li Li, Yi-Cheng Zhang, Xin Chen, Gui-Quan Sun

{"title":"Epidemic spreading on clustered networks with behavioral adaptation.","authors":"Xiao-Long Peng, Shu-Yan Chang, Li Li, Yi-Cheng Zhang, Xin Chen, Gui-Quan Sun","doi":"10.1063/5.0342298","DOIUrl":"https://doi.org/10.1063/5.0342298","url":null,"abstract":"Understanding disease spread requires coupling behavioral dynamics with contact network structure, yet their interaction is often overlooked or treated separately. We address this by formulating a susceptible-infected-recovered model on clustered networks with stochastic behavioral adaptation. In our model, individuals are characterized by two vigilance states: non-vigilant and vigilant, and update their states upon contact with infected neighbors according to a stochastic transition rule. Using a multitype branching process combined with percolation theory, we establish a theoretical framework for calculating the epidemic invasion probability, epidemic threshold, and final epidemic size and validate them through extensive stochastic simulations. Our results show that behavioral adaptation and transmission probabilities influence the epidemic threshold through distinct mechanisms: behavioral effects act in an approximately linear and additive manner, whereas transmission introduces nonlinear coupling between infection channels. Moreover, network clustering plays a dual role in epidemic invasion: it enhances outbreak probability in low-transmissibility regimes via local reinforcement of infection pathways, but suppresses large-scale spreading under high transmissibility due to local saturation and reduced effective branching. In addition, behavioral adaptation not only modulates the epidemic threshold but also reorganizes outbreak composition: non-vigilant infections dominate the epidemic burden, whereas vigilant infections exhibit a pronounced ridge-like maximum arising from a flux balance between vigilance induction and relaxation. Overall, our results reveal a rich interplay between behavioral adaptation, transmission heterogeneity, and network clustering in shaping both the onset and structure of epidemic outbreaks.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 9","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148966961","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

Saddle connections in a rotated vector field. 旋转向量场中的鞍形连接。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0343692

Fan Yang, Zhaoxia Wang

引用次数: 0

Sorting of small inertial particles in vortical, 3D fluid flows. 涡旋三维流体流动中小惯性粒子的分选。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0336069

Larry J Pratt, Irina I Rypina, Divya Jaganathan, Caitlin J Williams

{"title":"Sorting of small inertial particles in vortical, 3D fluid flows.","authors":"Larry J Pratt, Irina I Rypina, Divya Jaganathan, Caitlin J Williams","doi":"10.1063/5.0336069","DOIUrl":"https://doi.org/10.1063/5.0336069","url":null,"abstract":"Vortical flows have been shown to support attractors of buoyant particles in the form of limit cycles. The position of the attractor generally depends on particle characteristics such as size and buoyancy. A continuous range of characteristics gives rise to a range of limit cycles, together which can form a surface, volume, or some other geometric object in space. Particles will be sorted over this object according to their characteristics. We present some examples of these objects using a simple model of a three-dimensional ocean eddy as a background fluid flow. Here, the limit cycles consist of circular horizontal orbits, whose location depends on the size and density of the particles, as reflected in Stokes number and buoyancy parameters, respectively. If just particle size is varied, the attractors combine to form a surface on which particles are sorted by size. When both parameters are varied, the particles are sorted over a volume. We compute these objects using a general form of the Maxey-Riley-Gatignol (MRG) equations and compare solutions to those based on two common approximations: the MRG equations without the history term and the slow manifold reduction. Also discussed are rates of attraction and basins of attraction, and it is found that although larger particles are attracted most rapidly, they tend to have smaller basins of attraction. The history force is found to be important in most cases. Neglect of this force allows particles to become less constrained to follow fluid trajectories, freeing them to approach an attractor more rapidly.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 9","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149073687","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

Most probable transition path to an ice-free state in a model for Arctic energy balance. 北极能量平衡模式中向无冰状态的最可能过渡路径。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0324698

Kaitlin Hill, Xuan Kelsy Fei, John A Gemmer

{"title":"Most probable transition path to an ice-free state in a model for Arctic energy balance.","authors":"Kaitlin Hill, Xuan Kelsy Fei, John A Gemmer","doi":"10.1063/5.0324698","DOIUrl":"https://doi.org/10.1063/5.0324698","url":null,"abstract":"We investigate the most probable transition path from a perennially ice-covered state to an ice-free Arctic state, using a piecewise-smooth periodically forced energy balance model for the yearly evolution of energy in the Arctic introduced by Eisenman and Wettlaufer. Although a summertime ice-free state is widely expected to occur if current climate change trends persist, the time frame and pathway by which the Arctic may transition to an ice-free state remains in debate. Using the Freidlin-Wentzell theory of large deviations with an appropriate rate functional for piecewise-smooth systems, we characterize noise-induced transitions in the energy balance model framed as a stochastic differential equation. We derive the most probable transition path using gradient flow applied to a mollified system and validate our qualitative results using Monte Carlo simulations. These simulations show that transitions typically begin during the first half of the year with an average duration of approximately 19.5 years. We further derive an effective quasi-potential to estimate the expected escape time from the metastable states to the switching manifold. Our results provide insight into Arctic sea ice loss mechanisms, as well as a case study for how transition paths may be characterized in piecewise-smooth systems.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 9","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148891103","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

Accumulation sets and zero entropy dynamics in the Lozi map. Lozi图中的累积集和零熵动力学。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0344038

Kristijan Kilassa Kvaternik

引用次数: 0

Huygens' synchrony: Emergent modes of planar symmetrically coupled pendula. 惠更斯同步：平面对称耦合摆的涌现模式。

IF 3.3 2区数学

Chaos Pub Date : 2026-09-01 DOI: 10.1063/5.0331194

M M Hoogesteger, A Y Pogromsky, H Nijmeijer

{"title":"Huygens' synchrony: Emergent modes of planar symmetrically coupled pendula.","authors":"M M Hoogesteger, A Y Pogromsky, H Nijmeijer","doi":"10.1063/5.0331194","DOIUrl":"https://doi.org/10.1063/5.0331194","url":null,"abstract":"We study the collective dynamics of metronomes coupled through a common platform that is free to move in two spatial dimensions, extending Huygens' classical experiment on synchronizing pendulum clocks. Allowing planar motion of the coupling medium gives rise to emerging robust synchronization patterns. Experiments reveal a geometry-induced transition between two qualitatively distinct collective states: a translational mode, in which the metronomes synchronize with shifted phases and drive planar translation of the platform, and a rotational mode, characterized by in-phase synchronization and oscillatory rotation about the platform's center of mass. The transition between these modes is controlled by the spatial arrangement of the oscillators and is naturally interpreted as a symmetry-related bifurcation. First-principles multibody simulations reproduce the observed behaviors, while application of the Harmonic Balance method enables analytical continuation and characterization of both stable and unstable synchronized solutions. These results highlight how multidimensional dynamical coupling and symmetry alone can organize collective motion, providing a minimal mechanical setting for studying emergent synchronization phenomena in nonlinear oscillator networks.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 9","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149015857","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