Chaos最新文献

{"title":"Human prophylaxis-driven cooperative spreading between information and epidemics in duplex networks.","authors":"Congying Liu, Xiaoqun Wu, Xiaoyang Liu, Ling Lei, Junchan Zhao","doi":"10.1063/5.0254726","DOIUrl":"https://doi.org/10.1063/5.0254726","url":null,"abstract":"<p><p>Human behaviors play a crucial role in the intertwined dynamics of information diffusion and epidemic spreading. In turn, the spread of information and epidemics also affects individual behavioral changes. Understanding how information and epidemics propagate when individuals make coordinated decisions is essential to designing practicable control policies. To delve into this, we modify the unaware-aware-unaware susceptible-infected-susceptible (UAU-SIS) model by a two-strategy game-theory dilemma and explore how individual protective behaviors drive the interaction between information diffusion and epidemic spreading. Our theoretical analysis reveals that at the onset of an epidemic, individuals will not take any preventive measures, with the epidemic threshold being determined primarily by the topological structure of the epidemic layer. Extensive simulations help us explore the emergence of protective behaviors. A key finding is the existence of a crucial protection threshold, beyond which aware individuals begin to adopt preventive measures. Furthermore, our findings suggest that the high recovery rate or cost associated with contracting the disease, coupled with the poor failure rate of preventive measures or the low forgotten rate, leads to a significant number of aware individuals participating in self-protection, curbing the spread of epidemics. Moreover, even though individual protective decisions evolve in the information layer, the topology of the epidemic layer profoundly impacts both information diffusion and epidemic spreading. This work offers a new insight into the intertwined processes between information diffusion and epidemic spreading driven by human behaviors, which could help decision-makers gain some viable approaches to intervening in diseases.</p>","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":"143699849","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}

{"title":"Evolutionary dynamics of cooperation in optional public goods games with loners' punishment.","authors":"Rui Ding, Xianjia Wang, Ji Quan, Shuting Ma, Jinhua Zhao","doi":"10.1063/5.0253511","DOIUrl":"https://doi.org/10.1063/5.0253511","url":null,"abstract":"<p><p>Volunteering is a common mechanism for promoting cooperation, characterized by the self-organized cyclic dynamics among cooperators, defectors, and loners. Although this mechanism protects cooperators from being overwhelmed by defectors, it does not guarantee their ultimate success. Defectors are motivated to exploit cooperators due to their contributions to public goods. This raises a question: Can punishing cooperators disrupt the balance of cyclic invasion among the three strategies, ultimately leading to their dominance? Based on experimental evidence of economic sanctions imposed by loners on cooperators, this paper introduces loners who punish cooperators into optional public goods games. We develop an evolutionary model of a four-strategy game within a structured population. By exploring the spatial dynamics of the system and the evolutionary patterns of specific strategy distributions, we study the properties of phase transitions and the underlying mechanisms. Our analysis aims to elucidate how cooperation evolves under such punishment. The results indicate that these punishers can create a three-strategy cyclic state with cooperators and defectors. Under specific conditions, the system can enter from this cyclic phase to a pure cooperator phase. Additionally, when loners have a high fixed income, the system may enter a coexistence phase, including cooperators and two types of loners. In this phase, traditional loners form protective enclaves to safeguard cooperators from severe punishment.</p>","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":"143604022","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}

{"title":"On generalized bidimensional ensemble permutation entropy.","authors":"M Muñoz-Guillermo","doi":"10.1063/5.0253887","DOIUrl":"https://doi.org/10.1063/5.0253887","url":null,"abstract":"<p><p>Entropy measurements have become an invaluable resource when analyzing data. Features that can be mathematically calculated in an image or a time series of data can be useful discrimination elements that allow the design of learning algorithms. Permutation entropy in its different versions has been used in time series from real data in the field of economics or medicine as well as in image analysis. Recently, ensemble versions of the measures have been proposed. The underlying idea is to consider the average of the bidimensional entropy when different square shape patterns are selected. These measures are proposed for bidimensional data, mainly images. Nevertheless, in the case of ensemble permutation entropy, some restrictions appeared since the size of the image should be greater than 9!=362880 pixels, which greatly restricts the possibilities of application. In this paper, we highlight this fact and propose modified versions of bidimensional ensemble permutation entropy that generalize the original one allowing us to extend the type of data to which it is applicable. We will show some practical examples. For this purpose, we have applied these measures to different databases with the aim of improving the information (in terms of discrimination) of the data content.</p>","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":"143572177","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}

{"title":"Predicting critical transitions induced by the saddle-node bifurcation in electronic circuits using parameter space estimation.","authors":"Y Itoh","doi":"10.1063/5.0229555","DOIUrl":"https://doi.org/10.1063/5.0229555","url":null,"abstract":"<p><p>This study predicts critical transitions induced by the saddle-node bifurcation in electronic circuits only from time-series datasets through parameter space estimation. By estimating the parameter space, we plot a bifurcation diagram and approximate Lyapunov exponents of an unknown system, enabling the accurate prediction of critical transitions. The parameter space estimation identifies the target system from time-series data measured before the critical transitions, incorporating shifts in system dynamics due to parameter changes. Assuming continuous and gradual parameter changes, it estimates the subsequent shifts and predicts when the critical transitions occur. Previous studies have utilized parameter space estimation to predict the critical transitions, as these transitions are bifurcation phenomena resulting from changes in system parameters. The parameter space estimation utilizes the universal characteristic of the Lyapunov exponents approaching zero at the critical transitions, which is independent of specific systems, allowing for generalized predictions. This research employs electronic circuits configured to represent two types of biomass models, where critical transitions occur. Time-series data measured from the electronic circuits are used as target datasets. One biomass model is a one-dimensional model commonly used for critical transition detection, while the other is a two-dimensional model exhibiting seasonality. The time-series datasets are influenced by dynamical noise and contaminated by observational noise. We demonstrate that system dynamics, attracted to equilibrium, can be extracted from the datasets using parameter space estimation with an extreme learning machine, which possesses strong generalization properties. Furthermore, to assess the proximity to the critical transition after the training phase for parameter space estimation, this study demonstrates the feasibility of predicting changes in parameter values within the estimated parameter space. Predicting the parameter values is crucial for continuous system monitoring and updating predictions as new information emerges, thereby ensuring timely and precise responses to potential critical transitions.</p>","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":"143630225","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}

{"title":"Generalizing geometric partition entropy for the estimation of mutual information in the presence of informative outliers.","authors":"C Tyler Diggans, Abd AlRahman R AlMomani","doi":"10.1063/5.0247397","DOIUrl":"https://doi.org/10.1063/5.0247397","url":null,"abstract":"<p><p>The recent introduction of geometric partition entropy brought a new viewpoint to non-parametric entropy quantification that incorporated the impacts of informative outliers, but its original formulation was limited to the context of a one-dimensional state space. A generalized definition of geometric partition entropy is now provided for samples within a bounded (finite measure) region of a d-dimensional vector space. The basic definition invokes the concept of a Voronoi diagram, but the computational complexity and reliability of Voronoi diagrams in high dimension make estimation by direct theoretical computation unreasonable. This leads to the development of approximation schemes that enable estimation that is faster than the current methods by orders of magnitude. The partition intersection (π) approximation, in particular, enables direct estimates of marginal entropy in any context resulting in an efficient and versatile mutual information estimator. This new measure-based paradigm for data-driven information theory allows flexibility in the incorporation of geometry to vary the representation of outlier impact, which leads to a significant broadening in the applicability of the established entropy-based concepts. The incorporation of informative outliers is illustrated through analysis of transient dynamics in the synchronization of coupled chaotic dynamical systems.</p>","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":"143662972","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}

{"title":"Co-evolutionary control of a class of coupled mixed-feedback systems.","authors":"Luis Guillermo Venegas-Pineda, Hildeberto Jardón-Kojakhmetov, Ming Cao","doi":"10.1063/5.0230879","DOIUrl":"https://doi.org/10.1063/5.0230879","url":null,"abstract":"<p><p>Oscillatory behavior is ubiquitous in many natural and engineered systems, often emerging through self-regulating mechanisms. In this paper, we address the challenge of stabilizing a desired oscillatory pattern in a networked system where neither the internal dynamics nor the interconnections can be changed. To achieve this, we propose two distinct control strategies. The first requires the full knowledge of the system generating the desired oscillatory pattern, while the second only needs local error information. In addition, the controllers are implemented as co-evolutionary, or adaptive, rules of some edges in an extended plant-controller network. We validate our approach in several insightful scenarios, including synchronization and systems with time-varying network structures.</p>","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":"143699872","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}

{"title":"Detection of deterministic and chaotic signals on the basis of the LSTM model training results.","authors":"Pawel Kasprowski, Dariusz Augustyn, Agnieszka Szczęsna, Henryk Josiński, Katarzyna Harężlak, Adam Świtoński","doi":"10.1063/5.0224768","DOIUrl":"https://doi.org/10.1063/5.0224768","url":null,"abstract":"<p><p>Detection of chaos in dynamical signals is an important and popular research area. Traditionally, the chaotic behavior is evaluated by calculating the Largest Lyapunov Exponent (LLE). However, calculating the LLE is sometimes difficult and requires specific data. Moreover, it introduces some subjective assumptions and is sometimes called a \"manual\" method. Therefore, there are many attempts to provide alternative ways to assess the dynamical signal as chaotic or deterministic. Some of them use deep learning methods. In this paper, we present a novel method of signal classification that is based on the assumption that it is easier to learn deterministic behavior than a chaotic one. We show that based on this assumption, it is possible to calculate the \"amount of chaos\" in the signal with the help of a simple LSTM (Long Short-Term Memory) neural network. The main advantage of this method is that-contrary to other deep learning-based methods-it does not require prior data to train the network as the results of the training process for a signal being classified are taken into account as the result of this evaluation. We confirm the method's validity using the publicly available dataset of chaotic and deterministic signals.</p>","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":"143699875","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}

{"title":"Beyond the bifurcation scenarios in vertical-cavity surface-emitting lasers with optical injection.","authors":"Gonzalo Marcelo Ramírez-Ávila, Timoteo Carletti","doi":"10.1063/5.0239988","DOIUrl":"https://doi.org/10.1063/5.0239988","url":null,"abstract":"<p><p>We study the dynamic behavior in a vertical-cavity surface-emitting laser subject to orthogonal optical injection through the computation of Lyapunov exponents and isospikes for a wide range of intervals in the plane of the injection parameters, i.e., the frequency detuning vs injection strength plane. Our thorough numerical experiments on this plane constitute a deep quantitative analysis of the different bifurcation scenarios leading to polarization switching (PS). First, we obtain similar results for the linearly polarized intensities for the different PS scenarios, especially when the injection strength is increased. It allows us to determine the parameter values that will be used for further analysis of the bifurcation scenarios in the parameter space. Analysis of different phase diagrams enables us to show multistability in the system and identify in the parameter planes several regions such as the predominantly chaotic lobe ones inside them are embedded some mainly regular structures such as spirals, rings, tricorns, shrimp networks, \"eye(s) of chaos,\" and chiral and nonchiral distribution of periodicities characterized by sequences of quint points. We emphasize two routes to chaos, namely, period-doubling and quint-point-based bifurcations.</p>","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":"143669180","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}

{"title":"Bifurcations and collective states of Kuramoto oscillators with higher-order interactions and rotational symmetry breaking.","authors":"Antonio Mihara, Célia M Kuwana, Roberto C Budzinski, Lyle E Muller, Rene O Medrano-T","doi":"10.1063/5.0239017","DOIUrl":"https://doi.org/10.1063/5.0239017","url":null,"abstract":"<p><p>We study a network of identical Kuramoto oscillators with higher-order interactions that also break the rotational symmetry of the system. To gain analytical insights into this model, we use the Watanabe-Strogatz Ansatz, which allows us to reduce the dimensionality of the original system of equations. The study of stability and bifurcations of the reduced system reveals a codimension two Bogdanov-Takens bifurcation and several other associated bifurcations. Such analysis is corroborated by numerical simulations of the associated Kuramoto system, which, in turn, unveils a variety of collective behaviors such as synchronized motion, oscillation death, chimeras, incoherent states, and traveling waves. Importantly, this system displays a case where alternating chimeras emerge in an indistinguishable single population of oscillators, which may offer insights into the unihemispheric slow-wave sleep phenomenon observed in mammals and birds.</p>","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":"143630217","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}

{"title":"Analyzing deterministic and stochastic influences on the power grid frequency dynamics with explainable artificial intelligence.","authors":"Tim Drewnick, Xinyi Wen, Ulrich Oberhofer, Leonardo Rydin Gorjão, Christian Beck, Veit Hagenmeyer, Benjamin Schäfer","doi":"10.1063/5.0239371","DOIUrl":"https://doi.org/10.1063/5.0239371","url":null,"abstract":"<p><p>Power grids are essential for our society, connecting consumers and generators. Their frequency stability is impacted by supply and demand changes, including deterministic and stochastic dynamics, e.g., from market activities or fluctuating renewables. The first two Kramers-Moyal coefficients allow for a description of both the deterministic (via drift) and stochastic (via diffusion) aspects of these dynamics. Such a description and understanding could be critical to stabilizing power systems. However, how drift and diffusion differ between synchronous areas, how they vary over time, and how the generation mix influences them, remains unclear. Analyzing temporal patterns in drift and diffusion for frequency data from Australia (AUS) and Continental Europe (CE), we reveal a positive correlation between drift and diffusion. In addition, we utilize both gradient-boosted trees and neural network models to train drift and diffusion models for AUS and CE. Shapley additive explanations make these black-box models transparent and allow us to identify the total generation and load to influence the drift, while calendar features seem critical for the diffusion coefficient estimates.</p>","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":"143699749","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}