Chaos最新文献 - Book学术

Dynamic incentives and environmental feedback in public goods games: Promoting cooperation through critical thresholds.

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0235953

Die Hu, Jinzhuo Liu, Chen Liu, Chen Chu

{"title":"Dynamic incentives and environmental feedback in public goods games: Promoting cooperation through critical thresholds.","authors":"Die Hu, Jinzhuo Liu, Chen Liu, Chen Chu","doi":"10.1063/5.0235953","DOIUrl":"https://doi.org/10.1063/5.0235953","url":null,"abstract":"Understanding the emergence and maintenance of cooperation in multiplayer games is a significant challenge across various theoretical disciplines. In this paper, we introduce an innovative model to study the impacts of environmental feedback in systems with critical thresholds. Different from prior studies on public goods games with environmental feedback, we propose that the system holds expectations for collective behavior, and the dynamic incentives are equal for all group members. Our findings reveal that dynamic incentives driven by environmental feedback significantly enhance cooperation, particularly in scenarios with low synergy factors. As incentives increase, the system shifts from the non-cooperative to cooperative state. Moreover, a faster rate of incentive growth leads to a higher level of cooperation, demonstrating a strong positive correlation between dynamic incentive levels and overall cooperation within the system. Counterintuitively, our study finds that introducing dynamic incentives from environmental feedback not only effectively promotes cooperation under high expectation levels but also surprisingly increases the success rate of cooperation as expectations rise.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143122338","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

Response to music on the nonlinear dynamics of human fetal heart rate fluctuations: A recurrence plot analysis.

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0236416

José Javier Reyes-Lagos, Hugo Mendieta-Zerón, Migdania Martínez-Madrigal, Juan Carlos Santiago-Nuñez, Luis Emilio Reyes-Mendoza, Ximena Gonzalez-Reyes, Juan Carlos Echeverría, Eric Alonso Abarca-Castro, Ana Karen Talavera-Peña, Sara Avilés-Hernández, Claudia Lerma

{"title":"Response to music on the nonlinear dynamics of human fetal heart rate fluctuations: A recurrence plot analysis.","authors":"José Javier Reyes-Lagos, Hugo Mendieta-Zerón, Migdania Martínez-Madrigal, Juan Carlos Santiago-Nuñez, Luis Emilio Reyes-Mendoza, Ximena Gonzalez-Reyes, Juan Carlos Echeverría, Eric Alonso Abarca-Castro, Ana Karen Talavera-Peña, Sara Avilés-Hernández, Claudia Lerma","doi":"10.1063/5.0236416","DOIUrl":"https://doi.org/10.1063/5.0236416","url":null,"abstract":"Music has been shown to influence physiological functions in humans, but its effects on fetal heart rate variability (fHRV) are not well understood. This study aimed to assess the response of classical music exposure on the nonlinear behavior of fetal heart rate fluctuations in fetuses between 32 and 40 weeks of gestation using recurrence quantification analysis (RQA). We collected R-R time series from 37 fetuses in the third trimester following a study into four stages: PRE (baseline), STIM1 (first musical piece), STIM2 (second musical piece), and POST (post-exposure). The fetal R-R time series from each stage were evaluated using RQA indices such as determinism (DET), average diagonal line length (L), maximum line length (LMAX), entropy (ENTR), and trapping time (TT), as well as conventional linear indices like SDRR (standard deviation of R-R intervals). Results revealed three main points. First, there was an increase in DET, L, LMAX, and TT, with a decrease in ENTR in the POST stage compared to PRE, indicating more regular and predictable patterns. Second, the STIM2 stage enhanced the predictability and stability of cardiac dynamics compared to PRE, as indicated by L, LMAX, and TT. Third, no significant changes were observed in conventional indices, except for an increase in SDRR in the POST stage compared to STIM1. These findings suggest a reduction in complexity and nonlinear behavior of fHRV patterns after musical stimulus. The increase in SDRR during the POST stage appears to coincide with fetal movements, as indicated by the number of fetal accelerations found.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143188409","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

Exploring the role of synaptic plasticity in the frequency-dependent complexity domain. 探索突触可塑性在频率相关复杂性领域中的作用。

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0239820

Monserrat Pallares Di Nunzio, Juan Martín Tenti, Marcelo Arlego, Osvaldo A Rosso, Fernando Montani

{"title":"Exploring the role of synaptic plasticity in the frequency-dependent complexity domain.","authors":"Monserrat Pallares Di Nunzio, Juan Martín Tenti, Marcelo Arlego, Osvaldo A Rosso, Fernando Montani","doi":"10.1063/5.0239820","DOIUrl":"https://doi.org/10.1063/5.0239820","url":null,"abstract":"The involvement of the neocortex in memory processes depends on neuronal plasticity, the ability to restructure inter-neuronal connections, which is essential for learning and long-term memory. Understanding these mechanisms is crucial for advancing early diagnosis and treatment of cognitive disorders such as Parkinson's, epilepsy, and Alzheimer's disease. This study explores a neuronal model with expanded populations, using information-theoretic cues to uncover dynamics underlying plasticity. By employing Bandt-Pompe's entropy-complexity (H×C) and Fisher entropy-information (H×F) planes, hidden patterns in neuronal activity are revealed. These methodologies are particularly suitable for analyzing nonlinear dynamics and causal relationships in time series. In addition, the Hénon map is applied to capture nonlinear behaviors, such as neural firing, highlighting the trade-off between stability and unpredictability in neural networks. Our approach integrates local field potential and intracranial electroencephalograms' data in multiple frequency bands, connecting computational models with experimental evidence. By addressing higher-order interactions, such as action potential triplets, this work advances the understanding of synaptic adjustments and their implications for neuronal complexity and cognitive disorders.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143398315","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

Evolutionary multi-agent reinforcement learning in group social dilemmas. 群体社会困境中的进化多代理强化学习。

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0246332

B Mintz, F Fu

{"title":"Evolutionary multi-agent reinforcement learning in group social dilemmas.","authors":"B Mintz, F Fu","doi":"10.1063/5.0246332","DOIUrl":"https://doi.org/10.1063/5.0246332","url":null,"abstract":"Reinforcement learning (RL) is a powerful machine learning technique that has been successfully applied to a wide variety of problems. However, it can be unpredictable and produce suboptimal results in complicated learning environments. This is especially true when multiple agents learn simultaneously, which creates a complex system that is often analytically intractable. Our work considers the fundamental framework of Q-learning in public goods games, where RL individuals must work together to achieve a common goal. This setting allows us to study the tragedy of the commons and free-rider effects in artificial intelligence cooperation, an emerging field with potential to resolve challenging obstacles to the wider application of artificial intelligence. While this social dilemma has been mainly investigated through traditional and evolutionary game theory, our work connects these two approaches by studying agents with an intermediate level of intelligence. We consider the influence of learning parameters on cooperation levels in simulations and a limiting system of differential equations, as well as the effect of evolutionary pressures on exploration rate in both of these models. We find selection for higher and lower levels of exploration, as well as attracting values, and a condition that separates these in a restricted class of games. Our work enhances the theoretical understanding of recent techniques that combine evolutionary algorithms with Q-learning and extends our knowledge of the evolution of machine behavior in social dilemmas.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143398313","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

Stability and Hopf bifurcation analysis of a predator-prey system with multiple delays and generalized Allee effect.

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0233571

Gaji Zhuo, Hua Liu, Chunya Liu, Qibin Zhang, Yumei Wei

{"title":"Stability and Hopf bifurcation analysis of a predator-prey system with multiple delays and generalized Allee effect.","authors":"Gaji Zhuo, Hua Liu, Chunya Liu, Qibin Zhang, Yumei Wei","doi":"10.1063/5.0233571","DOIUrl":"https://doi.org/10.1063/5.0233571","url":null,"abstract":"In this paper, we develop a predator-prey system with a parameterized generalized Allee effect function and multiple discrete delays. One delay accounts for the negative feedback in the prey, while the other represents the gestation period in the predator population. First, we demonstrate the positivity and boundedness of solutions for the non-delayed system and establish conditions for the existence and stability of equilibria. For the delayed model, we assess the impact of varying delays on the stability of equilibria, discovering that the system exhibits Hopf bifurcations for both delays. Additionally, we determine the crossing curves to explore the stability transitions of equilibria within the delay parameter space. By computing the normal form, we determine the direction, stability, and period of bifurcating periodic solutions. Finally, numerical simulations are conducted to validate the theoretical findings. These simulations reveal that for the Allee effect function considered in this paper, the stability of the system remains unaffected when the delay is comparatively minor. Nonetheless, as the delay grows, the system shifts from a state of stability to one of instability, which even leads to chaotic dynamics. Additionally, the combination of the two delays makes the oscillation frequency of the original chaos higher.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143439932","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

Reservoir computing approaches to unsupervised concept drift detection in dynamical systems.

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0234779

Braden J Thorne, Débora C Corrêa, Ayham Zaitouny, Michael Small, Thomas Jüngling

{"title":"Reservoir computing approaches to unsupervised concept drift detection in dynamical systems.","authors":"Braden J Thorne, Débora C Corrêa, Ayham Zaitouny, Michael Small, Thomas Jüngling","doi":"10.1063/5.0234779","DOIUrl":"https://doi.org/10.1063/5.0234779","url":null,"abstract":"While the assumption that dynamical systems are stationary is common for modeling purposes, in reality, this is rarely the case. Rather, these systems can change over time, a phenomenon referred to as concept drift in the modeling community. While there exist numerous statistics-based methods for concept drift detection on stochastic processes, approaches leveraging nonlinear time series analysis (NTSA) are rarer but seeing increased focus in cases where the processes are deterministic. In this work, we propose a novel approach to unsupervised concept drift detection in dynamical systems utilizing the embedding offered by a reservoir computing (RC) model. This approach is inspired by the performance of RC on supervised classification tasks that indicates a strong ability to characterize dynamical systems. We assess this method on a number of synthetic drifting data streams from dynamical systems as well as an experimental case concerning faulty ball bearing. Our results suggest that the RC based methods are able to generally outperform the existing NTSA methods across the test cases. We conclude our work with some comments regarding real-time implementation and the impact of hyper-parameters on the proposed algorithm.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143390346","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

One-dimensional invariant measure in periodicity hubs: A tribute to Professor Jason A. C. Gallas.

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0239023

R B do Carmo, J R Rios Leite, F M de Aguiar

引用次数: 0

Spectral principle for frequency synchronization in repulsive laser networks and beyond.

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0251322

Mostafa Honari-Latifpour, Jiajie Ding, Igor Belykh, Mohammad-Ali Miri

{"title":"Spectral principle for frequency synchronization in repulsive laser networks and beyond.","authors":"Mostafa Honari-Latifpour, Jiajie Ding, Igor Belykh, Mohammad-Ali Miri","doi":"10.1063/5.0251322","DOIUrl":"https://doi.org/10.1063/5.0251322","url":null,"abstract":"Network synchronization of lasers is critical for achieving high-power outputs and enabling effective optical computing. However, the role of network topology in frequency synchronization of optical oscillators and lasers remains not well understood. Here, we report our significant progress toward solving this critical problem for networks of heterogeneous laser model oscillators with repulsive coupling. We discover a general approximate principle for predicting the onset of frequency synchronization from the spectral knowledge of a complex matrix representing a combination of the signless Laplacian induced by repulsive coupling and a matrix associated with intrinsic frequency detuning. We show that the gap between the two smallest eigenvalues of the complex matrix generally controls the coupling threshold for frequency synchronization. In stark contrast with attractive networks, we demonstrate that local rings and all-to-all networks prevent frequency synchronization, whereas full bipartite networks have optimal synchronization properties. Beyond laser models, we show that, with a few exceptions, the spectral principle can be applied to repulsive Kuramoto networks. Our results provide guidelines for optimal designs of scalable optical oscillator networks capable of achieving reliable frequency synchronization.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143122401","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

Dynamics of predatory effect on saturated plant-pollinator mutualistic relationship.

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0233838

Arpita Biswas, Rakesh Medda, Samares Pal

引用次数: 0

Evolution of cooperation under threshold public goods game.

IF 2.7 2区数学

Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0256927

Liyan Gao, Qiuhui Pan, Mingfeng He

{"title":"Evolution of cooperation under threshold public goods game.","authors":"Liyan Gao, Qiuhui Pan, Mingfeng He","doi":"10.1063/5.0256927","DOIUrl":"https://doi.org/10.1063/5.0256927","url":null,"abstract":"When the number of cooperators does not reach the collective target, resulting in the collective risk social dilemma, the self-organizing behavior of the group leads to the loss of collective interest and the government intervention leads to the increase of collective interest. For these two situations, we study the evolution of cooperation under threshold public goods game in well-mixed population. The results show that the introduction of the threshold makes it possible to generate complex dynamics with two interior equilibria in the replication equation. For self-organizing behavior, increasing the threshold is a double-edged sword. Although raising the threshold may increase the level of cooperation, the risk of dominance of defection also increases. For government intervention behavior, increasing the threshold significantly promotes cooperation. The common result is that individuals tend to free-ride when the group size increases. In addition, the greater the impact of the two behaviors on collective interest, the more conducive to promoting cooperation. When there are fewer initial cooperators, the government should intervene in time to generate cooperation. When there are more initial cooperators, self-organizing behavior is more conducive to attracting cooperators than government intervention. We hope that the model and results proposed in this paper can contribute to addressing the challenges posed by global issues such as climate change and the degradation of the ecological environment.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 2","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143390319","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