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

A resetting particle embedded in a viscoelastic bath. 嵌入粘弹性浴槽中的复位粒子。

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0253019

Arup Biswas, Johan L A Dubbeldam, Trifce Sandev, Arnab Pal

{"title":"A resetting particle embedded in a viscoelastic bath.","authors":"Arup Biswas, Johan L A Dubbeldam, Trifce Sandev, Arnab Pal","doi":"10.1063/5.0253019","DOIUrl":"https://doi.org/10.1063/5.0253019","url":null,"abstract":"We examine the behavior of a colloidal particle immersed in a viscoelastic bath undergoing stochastic resetting at a rate r. Microscopic probes suspended in a viscoelastic environment do not follow the classical theory of Brownian motion. This is primarily because the memory from successive collisions between the medium particles and the probes does not necessarily decay instantly as opposed to the classical Langevin equation. To treat such a system, one needs to incorporate the memory effects into the Langevin equation. The resulting equation formulated by Kubo, known as the generalized Langevin equation (GLE), has been instrumental to describing the transport of particles in inhomogeneous or viscoelastic environments. The purpose of this work, henceforth, is to study the behavior of such a colloidal particle governed by the GLE under resetting dynamics. To this end, we extend the renewal formalism to compute the general expression for the position variance and the correlation function of the resetting particle driven by the environmental memory. These generic results are then illustrated for the prototypical example of the Jeffreys viscoelastic fluid model. In particular, we identify various timescales and intermittent plateaus in the transient phase before the system relaxes to the steady state; and further discuss the effect of resetting pertaining to these behaviors. Our results are supported by numerical simulations showing an excellent agreement.","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":"143630215","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

Diffraction in phase space: Jumps and kinks in matter waves revealed by their dynamics. 相空间中的衍射：由其动力学揭示的物质波的跳跃和扭结。

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0260470

Gregor Finkbeiner, Maxim A Efremov, Robert F O'Connell, Wolfgang P Schleich

引用次数: 0

Measure synchronization transition and its critical behavior in coupled camphor rotors. 测量耦合樟脑转子的同步跃迁及其临界特性。

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0251807

Haibo Qiu, Gangmin Yue, Huawei Fan, Xiaojun Liu, Jing Tian

引用次数: 0

Transients versus network interactions give rise to multistability through trapping mechanism. 瞬态与网络相互作用通过捕获机制产生多稳定性。

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0249997

Kalel L Rossi, Everton S Medeiros, Peter Ashwin, Ulrike Feudel

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. 包含比率依赖Ivlev函数响应的具有复杂网络和随机建模的离散捕食-捕食模型的复杂动力学。

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. 滚落粒子的惯性动力学。

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

Spectrally informed learning of fluid flows. 对流体流动的频谱信息学习。

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0235257

Benjamin D Shaffer, Jeremy R Vorenberg, M Ani Hsieh

引用次数: 0

Taking a break: The impact of rests on Lévy walks. 休息一下：休息对走路的影响。

IF 2.7 2区数学

Chaos Pub Date : 2025-03-01 DOI: 10.1063/5.0251240

Marek A Teuerle

引用次数: 0

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