IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0272926

Xinyu Wang, Yao Fan, Deyu Cui, Chen Li, Zhibo Qian, Niuniu Sun, Xiangfeng Dai

{"title":"Emergent spatiotemporal heterogeneity in networked epidemics: Turing instability driven by topology and mobility.","authors":"Xinyu Wang, Yao Fan, Deyu Cui, Chen Li, Zhibo Qian, Niuniu Sun, Xiangfeng Dai","doi":"10.1063/5.0272926","DOIUrl":"https://doi.org/10.1063/5.0272926","url":null,"abstract":"While pattern formation in reaction-diffusion systems has been widely explored for epidemics in continuous media, its manifestation in networked populations remains poorly understood. We propose a theoretical framework integrating metapopulation networks with susceptible-infected-susceptible epidemic dynamics, revealing how topology and mobility jointly drive emergent spatiotemporal heterogeneity through Turing instability. Linear stability analysis identifies critical thresholds where eigenvector localization in scale-free networks amplifies heterogeneity by destabilizing low-degree nodes. Numerical simulations demonstrate that an infection rate (β) governs epidemic magnitude and pattern geometry, while a network degree distribution shapes a hierarchical phenomenon. Analytical solutions quantify how hub nodes suppress local instability, yet enhance global transmission. This work establishes Turing mechanisms as fundamental to networked epidemic patterns, bridging network science with reaction-diffusion theory. Our findings offer predictive tools for identifying high-risk zones in real-world mobility systems and informing targeted intervention strategies.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 6","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144282700","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

Rare events in a stochastic vegetation-water dynamical system based on machine learning. 基于机器学习的随机植被-水动力系统中的罕见事件。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0268331

Yang Li, Shenglan Yuan, Shengyuan Xu

{"title":"Rare events in a stochastic vegetation-water dynamical system based on machine learning.","authors":"Yang Li, Shenglan Yuan, Shengyuan Xu","doi":"10.1063/5.0268331","DOIUrl":"https://doi.org/10.1063/5.0268331","url":null,"abstract":"Stochastic vegetation-water dynamical systems are fundamental to understanding ecological stability, biodiversity conservation, water resource sustainability, and climate change adaptation. In this study, we introduce an innovative machine learning framework for analyzing rare events in stochastic vegetation-water systems driven by multiplicative Gaussian noise. By integrating the Freidlin-Wentzell large deviation theory with deep learning techniques, we establish rigorous asymptotic formulations for both the quasipotential and the mean first exit time. Leveraging vector field decomposition principles, we develop a novel neural network architecture capable of accurately computing the most probable transition paths and mean first exit times across diverse boundary conditions, including both non-characteristic and characteristic scenarios. Our findings demonstrate that the proposed method significantly enhances the predictive capabilities for early detection of vegetation degradation, thereby offering robust theoretical foundations and advanced computational tools for ecological management and conservation strategies. Furthermore, this approach establishes a scalable framework for investigating more complex, high-dimensional stochastic dynamical systems, opening new avenues for research in ecological modeling and environmental forecasting.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 6","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144246722","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

Modeling the co-evolution of multi-information and interacting diseases with higher-order effects. 具有高阶效应的多信息相互作用疾病的协同进化建模。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0272381

Xuemei You, Ruifeng Zhang, Xiaonan Fan

{"title":"Modeling the co-evolution of multi-information and interacting diseases with higher-order effects.","authors":"Xuemei You, Ruifeng Zhang, Xiaonan Fan","doi":"10.1063/5.0272381","DOIUrl":"https://doi.org/10.1063/5.0272381","url":null,"abstract":"To enhance epidemic management for co-occurring diseases, we investigate how multi-information diffusion impacts the transmission of interacting diseases under three interaction modes (inhibition, facilitation, asymmetry) in higher-order networks. We formulate a two-layer Unaware-Aware-Unaware-Susceptible-Infected-Susceptible model, comprising an upper information-diffusion layer and a lower disease-transmission layer with higher-order interactions represented by simplicial complexes. Extending the microscopic Markov chain approach, we derive the evolutionary equations and validate them via Monte Carlo simulations. Key findings are as follows: (1) Disease interaction modes alter state probabilities distinctively compared to independent spreading; (2) Bistability persists despite multi-information interference, highlighting higher-order network effects; (3) Multi-information interactions show mode-specific patterns-increasing one information's transmission rate differently affects another depending on disease interaction modes; (4) Multi-information modulates both the duration of disease coexistence and the infection prevalence; moreover, elevating the transmission rate of one information type yields divergent impacts on the prevalence of the other disease across different interaction modes. These insights advance targeted intervention strategies for interacting epidemics.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 6","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144246721","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

Improving the noise estimation of latent neural stochastic differential equations. 改进潜在神经随机微分方程的噪声估计。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0257224

L Heck, M Gelbrecht, M T Schaub, N Boers

引用次数: 0

Elevated EEG fractal dimension in Parkinson's during timing tasks. 帕金森病患者定时任务时脑电分形维数升高。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0274411

Raheleh Davoodi, Mahtab Mehrabbeik, Sajad Jafari, Matjaž Perc

引用次数: 0

Design chaotic maps with elegance of mathematical equations and strengthened by the discrete memristor. 设计混沌映射与优雅的数学方程和加强离散记忆电阻。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0261309

Hongyan Zang, Haiyan Fu, Lili Huang, Tengfei Lei, Shaobo He

{"title":"Design chaotic maps with elegance of mathematical equations and strengthened by the discrete memristor.","authors":"Hongyan Zang, Haiyan Fu, Lili Huang, Tengfei Lei, Shaobo He","doi":"10.1063/5.0261309","DOIUrl":"https://doi.org/10.1063/5.0261309","url":null,"abstract":"Despite the plethora of classical chaotic maps that have been proposed, the endeavor to discover novel chaotic maps exhibiting various forms of nonlinearity remains a formidable challenge. Inspired by the esthetic allure of mathematical curves, such as the cardioid and rose curves, a series of chaotic maps have been proposed. The results demonstrate that the resultant phase diagrams reflect the contours of these sophisticated curves. The presence of chaos is substantiated through the estimation of Lyapunov exponents and the application of the 0-1 test algorithm. Upon incorporating the discrete memristor into chaotic maps in two distinct manners, it is revealed that the resultant memristive chaotic maps exhibit heightened complexity. Given that the discrete memristor augments the dimensionality of the chaotic maps, hyperchaos phenomena are observed. Finally, analog circuits of two chaotic maps, namely, a cardioid chaotic map and its counterpart with a discrete memristor, are designed to show the physical realizability. This approach offers an alternative method for the design of chaotic maps and underscores the efficacy of discrete memristors in the enhancement of chaotic behaviors.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 6","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144215093","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

The wonders of colored noise in a climate model. 气候模型中彩色噪音的奇迹。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0275848

Dmitri V Alexandrov, Irina A Bashkirtseva, Lev B Ryashko

引用次数: 0

On chaos with additional zero Lyapunov exponents and related effects. Overview and illustrations. 附加零李雅普诺夫指数的混沌及其相关效应。概述和插图。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0273932

A P Kuznetsov, I R Sataev, N V Stankevich, L V Turukina

引用次数: 0

Path integral approach for predicting the diffusive statistics of geometric phases in chaotic Hamiltonian systems. 预测混沌哈密顿系统中几何相位扩散统计量的路径积分方法。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0271479

Ana Silva, Efi Efrati

引用次数: 0

A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift. 基于仿真的低维混沌系统参数漂移测量思想实验。

IF 2.7 2区数学

Chaos Pub Date : 2025-06-01 DOI: 10.1063/5.0230984

M Herein, T Tél, T Haszpra

{"title":"A simulation-supported thought experiment for measuring low-dimensional chaotic systems subjected to parameter drift.","authors":"M Herein, T Tél, T Haszpra","doi":"10.1063/5.0230984","DOIUrl":"https://doi.org/10.1063/5.0230984","url":null,"abstract":"We argue that a physics experiment with systems involving drifting parameters requires a paradigm shift: the measured signal, a curve, should be compared with a band resulting from simulations. Based on earlier theoretical results, an accurate description of drifting dissipative chaotic systems can only be given by following an ensemble of trajectories. After convergence to a time-dependent attractor (to the so-called snapshot attractor), the ensemble faithfully represents the dynamics. We point out that an experimentally measured signal should wander within the spread of the converged numerical ensemble, i.e., to behave as any of the ensemble members on the snapshot attractor. If that is the case, the model (a set of ordinary differential equations) used for the simulation can be considered credible. The transient period preceding the arrival to the attractor can be divided into two phases when using two initially localized ensembles. In the first one, a quick spread of the ensembles takes place, and a plume diagram evolves. The next, intermediate phase corresponds to a convergence of the no longer localized ensembles to the same unique time-dependent attractor and lasts approximately as long as the averages and other statistical moments of the two ensembles remain distinct.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 6","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144483360","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

Chaos最新文献