Chaos最新文献_第6页

Negative public opinion and minority-driven social change in hypergraphs.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0257900

Lulu Gong, Changwei Huang, Luoluo Jiang

引用次数: 0

Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0258130

Peng Guo, Guangyang Wang, Jianming Qi

{"title":"Exploration of soliton solutions and chaos analysis in thin-film ferroelectric materials.","authors":"Peng Guo, Guangyang Wang, Jianming Qi","doi":"10.1063/5.0258130","DOIUrl":"https://doi.org/10.1063/5.0258130","url":null,"abstract":"This research comprehensively examines the Thin-Film Ferroelectric Material Equation (TFFEME). TFFEME is vital in ferroelectric materials, offering a theoretical means to understand and predict ferroelectric thin-film behavior. These films are applied in non-volatile memories, sensors, and actuators, and TFFEME aids in accurately depicting internal physical processes for device performance optimization. By applying the beta fractional derivative with the modified (G'G2)-expansion method, diverse soliton solutions were derived. This not only broadens our understanding of TFFEME's solution framework but also provides insights into polarization dynamics and chaos analysis in ferroelectric thin films, applicable for enhancing ferroelectric-based device performance, like faster switching and lower power in non-volatile memories. The study also explored how physical parameters and fractional derivative forms affect solutions, crucial for soliton propagation. This analysis serves as a basis for improving material properties and innovating device designs, such as enhancing sensor sensitivity. Moreover, TFFEME was transformed into a Hamiltonian structure to study its planar dynamics, which is essential for predicting the device long-term stability. Finally, the barycentric Lagrange interpolation method at Chebyshev nodes provided precise numerical solutions for TFFEME, validating models and guiding experiments for new ferroelectric thin-film applications.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143662967","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

Asynchronous hybrid event- and time-triggered control of heterogeneous networks with communication time delays.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0239417

Gaopeng Duan, Xuecheng Yu, Heung Wing Joseph Lee

引用次数: 0

Self-organization of conducting pathways explains complex wave trajectories in procedurally interpolated fibrotic cardiac tissue: A virtual replica study.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0240140

V D Naumov, A P Sinitsyna, I S Semidetnov, S S Bakumenko, A K Berezhnoy, T O Sergeeva, M M Slotvitsky, V A Tsvelaya, K I Agladze

{"title":"Self-organization of conducting pathways explains complex wave trajectories in procedurally interpolated fibrotic cardiac tissue: A virtual replica study.","authors":"V D Naumov, A P Sinitsyna, I S Semidetnov, S S Bakumenko, A K Berezhnoy, T O Sergeeva, M M Slotvitsky, V A Tsvelaya, K I Agladze","doi":"10.1063/5.0240140","DOIUrl":"https://doi.org/10.1063/5.0240140","url":null,"abstract":"In precision cardiology, virtual replicas (VRs) hold promise for predicting arrhythmias by leveraging patient-specific data and biophysics knowledge. A crucial first step is creating VRs of cardiac tissue based on retrospective patient data. However, VRs aim to replicate biopotential conduction directly, whereas only non-invasive methods are feasible for clinical use on real organs and tissues. This discrepancy challenges our understanding of VR applicability limits. This study aims to enhance the mathematical template of VR by developing an in vitro validation complement. We performed a frame-by-frame comparison of in vitro optical mapping of biopotential conduction with VR predictions. Patient-specific self-organized tissue samples from human induced pluripotent stem cell-derived cardiomyocytes (CMs) with diffuse fibrosis were utilized as VR prototypes. High-resolution optical mapping recordings (Δx = 117 ± 4 μm, Δt = 7.69 ms) and immunostaining were used to reproduce fibrotic samples of linear size 7.5 mm. We applied data-driven Bayesian optimization of the Cellular Potts model (CPM) to study wave propagation at the subcellular level. The modified CPM accurately reflected the \"perinatal window\" until the 20th day of differentiation, affecting CMs' self-organization. The percolation threshold of virtual conductive pathways reached 0.26 (0.27 ± 0.03 of CMs in vitro), yielding a spatial correlation of amplitude maps with Pearson's coefficients of 0.83 ± 0.02. As a proof-of-concept, we demonstrated that CPM-enhanced VR could predict wavefront trajectories in optical mapping recordings, showing that approximating fibrosis distribution is crucial for improving VR prediction accuracy.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143662277","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

Widespread neuronal chaos induced by slow oscillating currents.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0248001

James Scully, Carter Hinsley, David Bloom, Hil G E Meijer, Andrey L Shilnikov

{"title":"Widespread neuronal chaos induced by slow oscillating currents.","authors":"James Scully, Carter Hinsley, David Bloom, Hil G E Meijer, Andrey L Shilnikov","doi":"10.1063/5.0248001","DOIUrl":"https://doi.org/10.1063/5.0248001","url":null,"abstract":"This paper investigates the origin and onset of chaos in a mathematical model of an individual neuron, arising from the intricate interaction between 3D fast and 2D slow dynamics governing its intrinsic currents. Central to the chaotic dynamics are multiple homoclinic connections and bifurcations of saddle equilibria and periodic orbits. This neural model reveals a rich array of codimension-2 bifurcations, including Shilnikov-Hopf, Belyakov, Bautin, and Bogdanov-Takens points, which play a pivotal role in organizing the complex bifurcation structure of the parameter space. We explore various routes to chaos occurring at the intersections of quiescent, tonic spiking, and bursting activity regimes within this space and provide a thorough bifurcation analysis. Despite the high dimensionality of the model, its fast-slow dynamics allow a reduction to a one-dimensional return map, accurately capturing and explaining the complex dynamics of the neural model. Our approach integrates parameter continuation analysis, newly developed symbolic techniques, and Lyapunov exponents, collectively unveiling the intricate dynamical and bifurcation structures present in the system.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143572197","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

Rumor propagation in the framework of evolutionary game analysis.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0259050

Deliang Li, Yi Zhao, Yang Deng, Yifeng Wang

{"title":"Rumor propagation in the framework of evolutionary game analysis.","authors":"Deliang Li, Yi Zhao, Yang Deng, Yifeng Wang","doi":"10.1063/5.0259050","DOIUrl":"https://doi.org/10.1063/5.0259050","url":null,"abstract":"With the ubiquity of social networks, rumors spread easily, leading to increasing attention on their dissemination. In this context, the spread of rumors is influenced not only by the content of the information itself but also by the behavior of various actors over social networks. To model such a process, we propose a novel rumor propagation interaction model. This model, for the first time, combines a rumor-spreading model, characterizing the dual impact of media activities on rumor propagation, with a three-party evolutionary game model, exploring the interactions among netizens, media, and the government on social media platforms. To validate the model, we employ a physics-informed neural network to simulate real rumor-spread data from the U.S. Twitter platform. By integrating the estimated parameter set from the rumor-spreading model with the three-party evolutionary game model, we design a new tripartite evolutionary game matrix. This matrix effectively quantifies the government's regulatory efforts, the media's tendency to spread rumors, and the likelihood of netizens participating in rumor diffusion. The experimental results demonstrate that a higher probability of strict government control more effectively curbs the momentum of rumor spread, while a lower probability of media spreading rumors corresponds to an increase in the number of rumor debunkers. Reduced control costs lead to increased government intervention, less media-driven rumor propagation, and more frequent media refutations. In summary, this model demonstrates significant practical value for understanding rumor propagation dynamics.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143630226","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

Training stiff neural ordinary differential equations with explicit exponential integration methods.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0251475

Colby Fronk, Linda Petzold

引用次数: 0

Complex dynamics of a discrete prey-predator model with complex network and stochastic modeling incorporating a ratio-dependent Ivlev functional response.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0248855

Md Mutakabbir Khan, Md Jasim Uddin, Dewan Fahim, Saiful Islam, S M Sohel Rana, Abdul Qadeer Khan, Nehad Ali Shah

{"title":"Complex dynamics of a discrete prey-predator model with complex network and stochastic modeling incorporating a ratio-dependent Ivlev functional response.","authors":"Md Mutakabbir Khan, Md Jasim Uddin, Dewan Fahim, Saiful Islam, S M Sohel Rana, Abdul Qadeer Khan, Nehad Ali Shah","doi":"10.1063/5.0248855","DOIUrl":"https://doi.org/10.1063/5.0248855","url":null,"abstract":"This research examines the predator-prey model's discrete-time dynamics regulated by a ratio-dependent Ivlev functional response. Our comprehensive algebraic study demonstrates that the system undergoes both period-doubling bifurcation and Neimark-Sacker bifurcation in the positive quadrant of the phase space. We provide a theoretical framework to understand these bifurcations by employing the center manifold theorem and bifurcation theory. To substantiate our theoretical findings, we conduct numerical simulations that clearly illustrate chaotic phenomena, including phase portraits, period-11 orbits, invariant closed circles, and attractive chaotic sets. In addition, we compute Lyapunov exponents to validate the system's chaotic characteristics. Moreover, we illustrate the practical implementation of chaos management through state feedback and Ott-Grebogi-Yorke approach to stabilize chaotic trajectories around an unstable equilibrium point. Bifurcations are analyzed in a discrete predator-prey model within a coupled network. Numerical simulations reveal that chaotic behavior arises in complex dynamical networks when the coupling strength parameter reaches a critical threshold. Furthermore, we employed the Euler-Maruyama approach for stochastic simulations to investigate our system under environmental uncertainty, analyzing realistic cases to encompass a variety of environmental conditions. All theoretical results concerning stability, bifurcation, and chaotic transitions in the coupled network are corroborated by numerical simulations.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143603851","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

Inertial dynamics of run-and-tumble particle.

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0250965

Debraj Dutta, Anupam Kundu, Urna Basu

引用次数: 0

Quantifying the global stability and transition dynamics of a coupled human-environment system via a landscape-flux approach. 通过景观流方法量化人类与环境耦合系统的全球稳定性和过渡动态。

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0244566

Tingting Yu, Anji Yang, Tonghua Zhang, Sanling Yuan

{"title":"Quantifying the global stability and transition dynamics of a coupled human-environment system via a landscape-flux approach.","authors":"Tingting Yu, Anji Yang, Tonghua Zhang, Sanling Yuan","doi":"10.1063/5.0244566","DOIUrl":"https://doi.org/10.1063/5.0244566","url":null,"abstract":"Human and environmental systems should not be viewed in isolation from each other but as a complex integrated system since humans not only influence ecosystem services and functions but also respond to changes in the ecosystem. Additionally, stochastic perturbations play a crucial role in natural systems, and stochastic factors associated with social and ecological systems can significantly affect the dynamics of coupled models, such as noise-induced tipping. In this paper, we propose a coupled human-environment model with noisy disturbances that includes the dynamics of forest conservation opinions within a population and the natural expansion and harvesting of forest ecosystems. We investigate how stochasticity triggers critical transitions between high and low forest cover states (or a stable oscillatory state) using social and ecological fitting parameters from old-growth forests in Oregon. Based on landscape-flow theory from non-equilibrium statistical mechanics, we quantify the global stability and robustness of equilibria and limit cycles using barrier height and average flux. We find that the stability of the high forest cover state weakens, and the low forest cover state becomes increasingly stable as noise intensity increases. Conversely, an increase in the intensity of injunctive social norms favors the global stability of the high forest cover state. Moreover, only a sufficiently small forest protection cost will allow forest cover to be maintained at a high level. Finally, a sensitivity analysis of the parameters of the coupled system is conducted, revealing the key factors affecting the global stability and critical transitions of high and low forest cover states.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143604007","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