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Tipping mechanisms in a carbon cycle model. 碳循环模型中的引爆机制。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0241550
Katherine Slyman, Emmanuel Fleurantin, Christopher K R T Jones
{"title":"Tipping mechanisms in a carbon cycle model.","authors":"Katherine Slyman, Emmanuel Fleurantin, Christopher K R T Jones","doi":"10.1063/5.0241550","DOIUrl":"https://doi.org/10.1063/5.0241550","url":null,"abstract":"<p><p>Rate-induced tipping (R-tipping) occurs when a ramp parameter changes rapidly enough to cause the system to tip between co-existing, attracting states, while noise-induced tipping (N-tipping) occurs when there are random transitions between two attractors of the underlying deterministic system. This work investigates R-tipping and N-tipping events in a carbonate system in the upper ocean, in which the key objective is understanding how the system undergoes tipping away from a stable fixed point in a bistable regime. While R-tipping away from the fixed point fits the framework of an established scenario, N-tipping poses challenges due to a periodic orbit forming the basin boundary for the attracting fixed point of the underlying deterministic system. Furthermore, for N-tipping, we are interested in the situation where noise is away from the small noise limit as it is more appropriate for the application. We postulate that two key points on the basin boundary are critical to understanding the noisy behavior: the exit point of what we find to be the most probable escape path (MPEP), which is determined by the Onsager-Machlup functional, and the pivot point, a point identified through the Maslov index, which appears as an obstacle to the movement of the escape region of noisy trajectories through the periodic orbit as noise increases.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143980731","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
Step-wise coupling discrete memristive chaotic map. 分步耦合离散记忆混沌映射。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0246293
Xinghui Chen, Kunshuai Li, Qiao Wang, Quan Zheng, Zean Tian, Quan Xie
{"title":"Step-wise coupling discrete memristive chaotic map.","authors":"Xinghui Chen, Kunshuai Li, Qiao Wang, Quan Zheng, Zean Tian, Quan Xie","doi":"10.1063/5.0246293","DOIUrl":"https://doi.org/10.1063/5.0246293","url":null,"abstract":"<p><p>With specific nonlinearity, discrete memristors can form excellent chaotic systems through different coupling models. This work proposes a step-wise coupling method for constructing a mapping model. Based on second-order coupling, a novel trigonometric step-wise discrete memristive (TSDM) map is constructed by coupling a sine discrete memristor with a cosine discrete memristor. The dynamical behaviors, tuned by parameters and initial values, are investigated using various numerical methods. It is found that there is a local offset behavior of the attractor in the TSDM map, which is highly sensitive to the initial value. The TSDM map was implemented using a microcontroller, and a TSDM map-based pseudo-random number generator was designed.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143978112","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
Transition path dynamics for one-dimensional run and tumble particle. 一维运动和翻滚粒子的过渡路径动力学。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0249277
Hua Li, Yong Xu, Ralf Metzler, Jianwei Shen, Kheder Suleiman
{"title":"Transition path dynamics for one-dimensional run and tumble particle.","authors":"Hua Li, Yong Xu, Ralf Metzler, Jianwei Shen, Kheder Suleiman","doi":"10.1063/5.0249277","DOIUrl":"https://doi.org/10.1063/5.0249277","url":null,"abstract":"<p><p>We study transition path properties such as the transient probability density, transition path time and its distribution, splitting probability, coefficient of variation, and the transition path shape of active run and tumble particles for unconstrained motion. In particular, we provide the theoretical description of the transition path properties using forward and backward master equations. The theoretical results are supported by Monte Carlo simulations. In particular, we prove that the system dynamics do not feature a symmetry breaking in the transition path properties for the case of run and tumble particles considered here. The symmetry of the transition path properties is shown to emerge for variations of the particle tumbling rate, particle speed, and transition path region.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143978537","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
Mobile oscillators in a mobile multi-cluster network. 移动多集群网络中的移动振荡器。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0257771
Venceslas Nguefoue Meli, Thierry Njougouo, Steve J Kongni, Patrick Louodop, Hilaire Bertrand Fotsin, Hilda A Cerdeira
{"title":"Mobile oscillators in a mobile multi-cluster network.","authors":"Venceslas Nguefoue Meli, Thierry Njougouo, Steve J Kongni, Patrick Louodop, Hilaire Bertrand Fotsin, Hilda A Cerdeira","doi":"10.1063/5.0257771","DOIUrl":"https://doi.org/10.1063/5.0257771","url":null,"abstract":"<p><p>Different collective behaviors emerging from the unknown have been examined in networks of mobile agents in recent years. Mobile systems, far from being limited to modeling and studying various natural and artificial systems in motion and interaction, offer versatile solutions across various domains, facilitating tasks ranging from navigation and communication to data collection and environmental monitoring. We examine the relative mobility between clusters, each composed of different elements in a multi-cluster network-a system composed of clusters interconnected to form a larger network of mobile oscillators. Each mobile oscillator exhibits both external (i.e., position in a 2D space) and internal dynamics (i.e., phase oscillations). Studying the mutual influence between external and internal dynamics often leads the system toward a state of synchronization within and between clusters. We show that synchronization between clusters is affected by their spatial closeness. The stability of complete synchronization observed within the clusters is demonstrated through analytical and numerical methods.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144075913","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
Enhancing reservoir predictions of chaotic time series by incorporating delayed values of input and reservoir variables. 通过结合输入和储层变量的延迟值来增强混沌时间序列的储层预测。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0258250
Luk Fleddermann, Sebastian Herzog, Ulrich Parlitz
{"title":"Enhancing reservoir predictions of chaotic time series by incorporating delayed values of input and reservoir variables.","authors":"Luk Fleddermann, Sebastian Herzog, Ulrich Parlitz","doi":"10.1063/5.0258250","DOIUrl":"https://doi.org/10.1063/5.0258250","url":null,"abstract":"<p><p>Time series generated by chaotic dynamical systems can be effectively predicted using readouts from driven reservoir dynamics. In practical scenarios, however, only time series measurements with partial knowledge of the chaotic system's state are usually available. To address this aspect, we evaluate and compare the performance of reservoir computing in predicting time series under both conditions of complete and partial knowledge of the state. Our results show that memory improves the prediction accuracy only when the system state is partially known. For cases with partial state knowledge, we extend the mean prediction horizon by including delayed values of both the input and reservoir variables. To ensure the robustness of this result, we test it in systems with varying degrees of complexity. Finally, we show that the inclusion of delayed values can also facilitate the optimization of hyperparameters for predictions based on full knowledge of the system state.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144076328","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
Further stability criteria for singular Hopf bifurcation in planar predator-prey systems. 平面捕食-食饵系统奇异Hopf分岔的进一步稳定性判据。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0244624
Jicai Huang, Shimin Li, Xiaoling Wang, Kuilin Wu
{"title":"Further stability criteria for singular Hopf bifurcation in planar predator-prey systems.","authors":"Jicai Huang, Shimin Li, Xiaoling Wang, Kuilin Wu","doi":"10.1063/5.0244624","DOIUrl":"https://doi.org/10.1063/5.0244624","url":null,"abstract":"<p><p>In this paper, we investigate the singular Hopf bifurcation in predator-prey systems, where bifurcation occurs as the eigenvalues become singular when the singular perturbation parameter ε→0. In Krupa and Szmolyan [SIAM J. Math. Anal. (2001)], the first Lyapunov coefficient for singular Hopf bifurcation is given as L1(ε)=ε8(A+O(ε)), with the bifurcation being supercritical for A<0 and subcritical for A>0. As far as we know, there are no general results regarding the stability of singular Hopf bifurcation when A=0. This paper aims to address this gap for planar predator-prey systems. We present further stability criteria for singular Hopf bifurcation in planar predator-prey systems of Leslie and Gause types. Additionally, numerical simulations are conducted to support and validate our analytical findings.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144119059","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
Active search for bifurcations. 主动搜索分岔。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0226625
Yorgos M Psarellis, Themistoklis P Sapsis, Ioannis G Kevrekidis
{"title":"Active search for bifurcations.","authors":"Yorgos M Psarellis, Themistoklis P Sapsis, Ioannis G Kevrekidis","doi":"10.1063/5.0226625","DOIUrl":"https://doi.org/10.1063/5.0226625","url":null,"abstract":"<p><p>Bifurcations mark qualitative changes of long-term behavior in dynamical systems and can often signal sudden (\"hard\") transitions or catastrophic events (divergences). Accurately locating them is critical not just for deeper understanding of observed dynamic behavior, but also for designing efficient interventions. When the dynamical system at hand is complex, possibly noisy, and expensive to sample, standard (e.g., continuation based) numerical methods may become impractical. We propose an active learning framework, where Bayesian Optimization is leveraged to discover saddle-node or Hopf bifurcations, from a judiciously chosen small number of vector field observations. Such an approach becomes especially attractive in systems whose state×parameter space exploration is resource-limited. It also naturally provides a framework for uncertainty quantification (aleatoric and epistemic), useful in systems with inherent stochasticity.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144157099","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 dissipative mass conserved reaction-diffusion system reveals switching between coexisting polar and oscillatory cell motility states. 耗散质量守恒的反应扩散系统揭示了共存的极性和振荡细胞运动状态之间的切换。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0274689
Jack M Hughes, Cristina Martinez-Torres, Carsten Beta, Leah Edelstein-Keshet, Arik Yochelis
{"title":"A dissipative mass conserved reaction-diffusion system reveals switching between coexisting polar and oscillatory cell motility states.","authors":"Jack M Hughes, Cristina Martinez-Torres, Carsten Beta, Leah Edelstein-Keshet, Arik Yochelis","doi":"10.1063/5.0274689","DOIUrl":"https://doi.org/10.1063/5.0274689","url":null,"abstract":"<p><p>Motile eukaryotic cells display distinct modes of migration that often occur within the same cell type. It remains unclear, however, whether transitions between the migratory modes require changes in external conditions, or whether the different modes are coexisting states that emerge from the underlying signaling network. Using a simplified mass-conserved reaction-diffusion model of small GTPase signaling with F-actin mediated feedback, we uncover a distinct bistable mechanism (involving gradient-like phase-separation and traveling waves) and a regime where a polarized mode of migration coexists with spatiotemporal oscillations; the latter, in larger domains, including in three-dimensional surface geometry, result in disordered patterns even in the absence of noise or shape deformations. Indeed, experimental observations of Dictyostelium discoideum show that, upon collision with a rigid boundary, cells may switch from polarized to disordered motion.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144149554","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
Characterizing the dynamics of unlabeled temporal networks. 表征未标记的时间网络的动态。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0253870
Annalisa Caligiuri, Tobias Galla, Lucas Lacasa
{"title":"Characterizing the dynamics of unlabeled temporal networks.","authors":"Annalisa Caligiuri, Tobias Galla, Lucas Lacasa","doi":"10.1063/5.0253870","DOIUrl":"https://doi.org/10.1063/5.0253870","url":null,"abstract":"<p><p>Networks model the architecture backbone of complex systems. The backbone itself can change over time leading to what is called \"temporal networks.\" Interpreting temporal networks as trajectories in graph space of a latent graph dynamics has recently enabled the extension of concepts and tools from dynamical systems and time series to networks. Here, we address temporal networks with unlabeled nodes, a case that has received relatively little attention so far. Situations in which node labeling cannot be tracked over time often emerge in practice due to technical challenges or privacy constraints. In unlabeled temporal networks, there is no one-to-one matching between a network snapshot and its adjacency matrix. Characterizing the dynamical properties of such unlabeled network trajectories is, therefore, nontrivial. Here, we exploit graph invariants to extend some recently proposed network-dynamical quantifiers of linear correlations and dynamical instability to the unlabeled setting. In particular, we focus on autocorrelation functions and the sensitive dependence on initial conditions. We show with synthetic graph dynamics that the measures are capable of recovering and estimating these dynamical fingerprints even when node labels are unavailable. We also validate the methods for some empirical temporal networks with removed node labels.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143987185","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
Distributed optimization for traffic-emission control in urban road networks via cooperative game approach. 基于合作博弈的城市路网交通排放控制分布式优化。
IF 2.7 2区 数学
Chaos Pub Date : 2025-05-01 DOI: 10.1063/5.0246202
Zhao Zhou, Junhan Shen, Qun Wu, Haili Liang
{"title":"Distributed optimization for traffic-emission control in urban road networks via cooperative game approach.","authors":"Zhao Zhou, Junhan Shen, Qun Wu, Haili Liang","doi":"10.1063/5.0246202","DOIUrl":"https://doi.org/10.1063/5.0246202","url":null,"abstract":"<p><p>In this study, we introduce a cooperative game-based distributed optimization strategy for green-time traffic signals to balance traffic-emission reduction and computational efficiency. Utilizing a macroscopic link traffic-flow model for the road network and a microscopic vehicle-emission model for traffic emissions, we apply a cooperative game framework to enable communication and coordination among traffic subnetworks. The optimization problem is decomposed into subproblems using the augmented Lagrangian alternating-direction inexact Newton (ALADIN) algorithm, thus enabling effective collaboration among subnetworks. Our findings reveal that this cooperative approach, which leverages the ALADIN algorithm, closely approximates the optimal solution achieved via centralized control, thereby significantly enhancing the computational efficiency while preserving the performance. Through simulation experiments, during both peak and off-peak hours, our approach reduces average computation time by over 48.58% compared to centralized methods. Additionally, our distributed control strategy outperforms fixed-time control, reducing traffic emissions by at least 3.3% in both scenarios.</p>","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143987427","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
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