Chaos最新文献_第5页

Asynchronicity yields regularity in coupled neuronal systems. 在耦合神经元系统中，异步产生规律性。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0309451

Anupama Roy, Sudeshna Sinha

引用次数: 0

Chaos and synchronization in financial leverages dynamics: Modeling systemic risk with coupled unimodal maps. 金融杠杆动力学中的混沌与同步：用耦合单峰映射建模系统风险。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0320793

Marco Ioffredi, Stefano Marmi, Matteo Tanzi

引用次数: 0

General relativity in flat space-time. 平坦时空中的广义相对论。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0285341

Serge Aubry

{"title":"General relativity in flat space-time.","authors":"Serge Aubry","doi":"10.1063/5.0285341","DOIUrl":"https://doi.org/10.1063/5.0285341","url":null,"abstract":"Einstein general relativity (GR) can be formally represented by a Lagrangian in a flat Minkowski space-time where light speed is not a universal constant and vanishes at the horizon of black holes. These appear as virtual singularities where no matter or energy can enter. We revisit the fundamental concepts of GR. Due to the principle of mass-energy equivalence, certain physical quantities, such as rest mass-energy, time, and light speed, must be rescaled according to the gravitational potential. We obtain a Lagrangian for a static gravitational potential (called germinal) different from the Schwarzschild Lagrangian but with the same black hole singularity. We develop a method that transforms a germinal Lagrangian into a fully relativistic Lagrangian. Then, the electrostatic Lagrangian becomes the well-known electromagnetic Lagrangian. The same method shows that the obtained germinal Lagrangian of gravitation generates a fully relativistic Lagrangian where gravitation is represented by a relativistic 4×4 tensor potential related to the Einstein stress-energy tensor. This theory is not equivalent to GR. In the weak gravitation limit, the Lagrangian generated by a stationary source only depends on a four-potential formally identical to that of the Heaviside theory of gravitation but different. As an application, we use this result in a simple model explaining the observed anomalies in the galaxy's stellar velocities without requiring hypothetical dark matter.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 4","pages":""},"PeriodicalIF":3.2,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147627294","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

Exact dimensional reduction for quasi-linear ODE ensembles. 准线性ODE系综的精确降维。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0291571

Felix Augustsson, Erik A Martens, Rok Cestnik

引用次数: 0

Indirect reciprocity with environmental feedback. 与环境反馈的间接互惠。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0334029

Yishen Jiang, Xin Wang, Ming Wei, Wenqiang Zhu, Longzhao Liu, Hongwei Zheng, Shaoting Tang

{"title":"Indirect reciprocity with environmental feedback.","authors":"Yishen Jiang, Xin Wang, Ming Wei, Wenqiang Zhu, Longzhao Liu, Hongwei Zheng, Shaoting Tang","doi":"10.1063/5.0334029","DOIUrl":"https://doi.org/10.1063/5.0334029","url":null,"abstract":"Indirect reciprocity maintains cooperation in stranger societies by mapping individual behaviors onto reputation signals via social norms. Existing theoretical frameworks assume static environments with constant resources and fixed payoff structures. However, in real-world systems, individuals' strategic behaviors not only shape their reputation but also induce collective-level resource changes in ecological, economic, or other external environments, which, in turn, reshape the incentives governing future individual actions. To overcome this limitation, we establish a co-evolutionary framework that couples moral assessment, strategy updating, and environmental dynamics, allowing the payoff structure to dynamically adjust in response to the ecological consequences of collective actions. We find that this environmental feedback mechanism helps lower the threshold for the emergence of cooperation, enabling the system to spontaneously transition from a low-cooperation state to a stable high-cooperation regime, thereby reducing the dependence on specific initial conditions. Furthermore, while lenient norms demonstrate adaptability in static environments, norms with strict discrimination are shown to be crucial for curbing opportunism and maintaining evolutionary resilience in dynamic settings. Our results reveal the evolutionary dynamics of coupled systems involving reputation institutions and environmental constraints, offering a new theoretical perspective for understanding collective cooperation and social governance in complex environments.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 4","pages":""},"PeriodicalIF":3.2,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147763570","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

Statistics of a large number of renewals in equilibrium and ordinary renewal processes at the short time limit. 均衡状态下的大量续费和短时间内的普通续费的统计。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0324747

Wanli Wang, Stanislav Burov

{"title":"Statistics of a large number of renewals in equilibrium and ordinary renewal processes at the short time limit.","authors":"Wanli Wang, Stanislav Burov","doi":"10.1063/5.0324747","DOIUrl":"https://doi.org/10.1063/5.0324747","url":null,"abstract":"The renewal process is a key statistical model for describing a wide range of stochastic systems in physics. This work investigates the behavior of the probability distribution of the number of renewals in renewal processes at the short time limit, with a focus on cases where the number of renewals is large. We find that the specific details of the sojourn time distribution ϕ(τ) in this limit can significantly modify the behavior in the large-number-of-renewals regime. We explore both ordinary and equilibrium renewal processes, deriving results for various forms of ϕ(τ). Using saddle-point approximations, we analyze cases where ϕ(τ) follows a power-series expansion, includes a cutoff, or exhibits non-analytic behavior near τ=0. Additionally, we show how the short-time properties of ϕ(τ) shape the decay of the number of renewals in equilibrium compared to ordinary renewal processes. The probability of the number of renewals plays a crucial role in determining rare event behaviors, such as Laplace tails. The results obtained here are expected to help advance the development of a theoretical framework for rare events in transport processes in complex systems.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 4","pages":""},"PeriodicalIF":3.2,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147763646","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

Bystander effect emerges from individual psychological prospects. 旁观者效应产生于个体的心理前景。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0323615

Tiffanie Ng, Sara M Clifton

{"title":"Bystander effect emerges from individual psychological prospects.","authors":"Tiffanie Ng, Sara M Clifton","doi":"10.1063/5.0323615","DOIUrl":"https://doi.org/10.1063/5.0323615","url":null,"abstract":"The bystander effect is a social psychological phenomenon in which individuals are less likely to help a person potentially in need if there are others present. Sociologists and psychologists have proposed multiple plausible reasons for the bystander effect, from situational ambiguity and social contagion to diffusion of responsibility and mutual denial. We build a new model of an individual's decision to intervene in a bystander situation based on these social psychological hypotheses, along with ideas borrowed from prospect theory. The model yields an explicit bystander curve, which demonstrates, for the first time, that the bystander effect emerges from social risk perception among non-coordinating individuals in ambiguous bystander situations. Expanding upon this static model, we explore the effect of social learning, where individuals update their perceived risk of intervening after experiencing or witnessing the social repercussions of previous interventions. A novel result of this piecewise-smooth dynamical system model, with threshold-driven switching behavior, is that social learning exacerbates the bystander effect. We validate both the static and dynamic models using a new database of 42 experimental and observational studies across a wide range of bystander situations, demonstrating the importance of both population heterogeneity and social learning rates on the emergence of observed bystander curves. This provides a straightforward and generalizable explanation for the observed phenomenon, which may suggest effective interventions tailored to specific bystander situations.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 4","pages":""},"PeriodicalIF":3.2,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147763860","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

Continuous growth of social polarization for scale-free networks. 无标度网络的社会极化持续增长。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0322613

Bin Pan, Jianguo Liu

{"title":"Continuous growth of social polarization for scale-free networks.","authors":"Bin Pan, Jianguo Liu","doi":"10.1063/5.0322613","DOIUrl":"https://doi.org/10.1063/5.0322613","url":null,"abstract":"Understanding how local interactions generate social polarization is a central challenge in the study of collective dynamics. Prior work has established that homophily and social balance can trigger a first-order phase transition to polarization in homogeneous small-world networks. However, real-world social networks are structurally heterogeneous, featuring power-law degree distributions dominated by a few highly connected hubs. In this study, we investigate how this structural heterogeneity affects polarization dynamics by introducing the co-evolutionary opinion model on scale-free networks generated via a modified Holme-Kim model. We find that, in contrast to the discontinuous transition in small-world networks, social polarization for scale-free networks grows continuously with increasing connectivity, emerging earlier but reaching a lower magnitude. Individual-level analysis reveals that polarization is a hierarchical process concentrated among large-degree hubs, while most peripheral nodes remain weakly polarized. Counterfactual experiments demonstrate that neutralizing only the top 5% of large-degree nodes is sufficient to suppress system-wide polarization to the random baseline. Our findings reveal that network topology fundamentally alters the nature of polarization transitions and suggest that targeted interventions on influential nodes may be more effective than broad-based approaches for managing social polarization in heterogeneous societies.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 4","pages":""},"PeriodicalIF":3.2,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147763936","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

Noise-enhanced stickiness in the Harper map. 哈珀地图的噪音增强粘性。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0303868

J R Homan, J D Meiss

引用次数: 0

Erratum: "Dynamical analysis of a class of Caputo hetero-order fractional differential systems with double time delays" [Chaos 36, 013133 (2026)]. 校误：“一类具有双时滞的Caputo异阶分数阶微分系统的动力学分析”[j].混沌，36,133（2026）。

IF 3.2 2区数学

Chaos Pub Date : 2026-04-01 DOI: 10.1063/5.0325928

Wangwang Liu, Xiaolin Lin, Danfeng Pang, Yawei Xue

引用次数: 0