Chaos Solitons & Fractals最新文献_第6页

The role of strategy-affected emotions in the evolution of cooperation 策略影响情绪在合作演化中的作用

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-20 DOI: 10.1016/j.chaos.2025.116759

Wen Lu , Shu Liang

{"title":"The role of strategy-affected emotions in the evolution of cooperation","authors":"Wen Lu , Shu Liang","doi":"10.1016/j.chaos.2025.116759","DOIUrl":"10.1016/j.chaos.2025.116759","url":null,"abstract":"<div><div>Emotion plays a critical role in cooperation evolution, yet its mechanisms remain underexplored. In this paper, we propose a new mechanism for the cooperation evolution from an emotional perspective: strategies affect emotions, which in turn influence strategies. We establish an index called friendliness to characterize the influence of strategies on emotions, which is determined by both current and expected strategies. In this mechanism, cooperation increases the intensity of friendly emotions and decreases the intensity of unfriendly emotions, while defection has the opposite effect. Simulation reveals that friendliness facilitates cooperation by reshaping emotion characteristics in subsequent game rounds: individuals exposed to defection develop indifference, while those experiencing cooperation amplify their friendly emotions and cooperation. Friendliness mainly plays a role during the unstable stage of game evolution, driving the formation of extensive and cohesive cooperation within populations, along with widespread friendly emotions. As the intensity of friendliness increases, the evolutionary advantages of friendly groups and cooperative strategies are greatly amplified. Furthermore, cooperation exhibits complex behavior with memory length: under low friendliness conditions, memory length amplifies cooperation. Conversely, under high friendliness conditions, memory length attenuates cooperation. In summary, the mechanism by which strategies influence emotions reveal the formation of stable cooperation in terms of emotion. This mechanism improves the fitness of the friendly population and increases the proportion of cooperation without the need for additional rewards or punishments.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116759"},"PeriodicalIF":5.3,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321141","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Analysis of stability and cooperation in traffic flow with connected automated vehicles under perceptual uncertainty 感知不确定性下网联自动驾驶车辆交通流的稳定性与协同性分析

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-19 DOI: 10.1016/j.chaos.2025.116745

Bojian Zhou , Shihao Li , Shuaiqi Wang , Min Xu

{"title":"Analysis of stability and cooperation in traffic flow with connected automated vehicles under perceptual uncertainty","authors":"Bojian Zhou , Shihao Li , Shuaiqi Wang , Min Xu","doi":"10.1016/j.chaos.2025.116745","DOIUrl":"10.1016/j.chaos.2025.116745","url":null,"abstract":"<div><div>This study aims to investigate the stability and cooperation of traffic flow comprising connected automated vehicles (CAVs) in perceptual uncertainty environment. Specifically, an extended version of the cooperative intelligent driver model (CIDM), referred to as the weighting dynamic CIDM (WD-CIDM), is developed to describe the dynamics of CAV traffic flow under perceptual uncertainty. The proposed model incorporates perceptual uncertainty levels to quantify the extent to which various control inputs diverge from their true values, while introducing a weighting parameter to capture a spectrum of CAV traffic flow patterns under varying degrees of perceptual reliability within the system. Especially, the real-time number of interactive vehicles is leveraged to reflect CAV's cooperative capability, allowing for the evaluation of the interplay between perceptual uncertainty, cooperation, and stability in CAV traffic flow. Then, a head-to-tail transfer function approach is applied to derive the stability criterion. Sensitivity analysis shows that positive uncertainty levels in velocity and relative velocity enhance stability, whereas positive gap uncertainty level and higher weighting parameter reduce stability. Correspondingly, negative levels of these uncertainties have the opposite effects. Another interesting finding is that, while increasing the number of interactive vehicles helps stabilize traffic flow, the marginal benefit diminishes with scale. Numerical tests with an open boundary condition validate the stability analysis by examining both the dynamic evolution of traffic flow and the variations in spacing error. Furthermore, an inherent trade-off in CAV traffic flow under perceptual uncertainty is revealed: strong cooperation and high stability cannot be simultaneously ensured.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116745"},"PeriodicalIF":5.3,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144314529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Coherence of a periodic potential system with nonlinear nonlocal dissipation and colored noise 具有非线性非局部耗散和彩色噪声的周期势系统的相干性

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-19 DOI: 10.1016/j.chaos.2025.116750

Pengfei Xu , Xulu Gong , Yanxia Zhang , Guotao Wang

引用次数: 0

How do diseases spread at the critical state? 疾病是如何在危急状态下传播的？

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-19 DOI: 10.1016/j.chaos.2025.116694

Li-Feng Hou , Shifu Wang , Li Li , Xin Lu , Gui-Quan Sun

{"title":"How do diseases spread at the critical state?","authors":"Li-Feng Hou , Shifu Wang , Li Li , Xin Lu , Gui-Quan Sun","doi":"10.1016/j.chaos.2025.116694","DOIUrl":"10.1016/j.chaos.2025.116694","url":null,"abstract":"<div><div>The transmission characteristics of infectious diseases near critical thresholds are essential for public health strategy formulation. This study employs reaction–diffusion SI with nonlinear and SIR models with saturated incidence rates, integrating optimal control theory to investigate epidemic propagation trends under critical conditions. The structural complexity of three epidemiological target states (extinction, quasi-uniform epidemic, and patterned epidemic) is quantitatively characterized using spatial entropy methods. A multi-indicator comparative analysis systematically reveals the evolutionary trends of epidemics in critical states from three dimensions: target attainability, average control intensity, and control complexity. The findings indicate that achieving a patterned epidemic state requires the lowest control intensity and spatial intervention complexity compared to extinction and quasi-uniform states, suggesting that epidemic systems in critical states are more inclined toward structured transmission patterns. The proposed framework for quantifying spatial structure and control complexity provides a theoretical basis and practical guidance for formulating spatial prevention and control strategies for infectious diseases in critical states.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116694"},"PeriodicalIF":5.3,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144314530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Recent advances in network dismantling: A comprehensive review and list of recommendations for future work 网络拆除的最新进展：全面审查和对未来工作的建议清单

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-19 DOI: 10.1016/j.chaos.2025.116673

Sebastian Wandelt, Xinyue Chen, Xiaoqian Sun

引用次数: 0

Reversible image encryption and hiding algorithm based on fractional-order memristive Hopfield neural network 基于分数阶记忆Hopfield神经网络的可逆图像加密与隐藏算法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-19 DOI: 10.1016/j.chaos.2025.116757

Dawei Ding, Xiang Liu, Hongwei Zhang, Zongli Yang, Fan Jin, Siqi Chen, Haitao Zhou

{"title":"Reversible image encryption and hiding algorithm based on fractional-order memristive Hopfield neural network","authors":"Dawei Ding, Xiang Liu, Hongwei Zhang, Zongli Yang, Fan Jin, Siqi Chen, Haitao Zhou","doi":"10.1016/j.chaos.2025.116757","DOIUrl":"10.1016/j.chaos.2025.116757","url":null,"abstract":"<div><div>In order to protect the privacy information of images in the Industrial Internet of Things(IIoT), this paper mainly studies an image encryption and hiding method based on Fractional-Order Memristive Hopfield Neural Network (FOMHNN). Firstly, a FOMHNN model is proposed with variable neuron activation gradient and synaptic weight. Then, boundedness and symmetry of this model are studied by qualitative analysis, and stability analysis of its equilibrium point proves that it has self-excited dynamics. Moreover, bifurcation diagrams, Lyapunov exponents, phase diagrams, and local attraction basins are used to demonstrate dynamical behaviors of the FOMHNN. When parameters change, Spectral Entropy (SE) and C0 complexity are investigated to observe the complexity of the FOMHNN. Numerical results demonstrate that the FOMHNN exhibits complex initial offset behavior, and can generate an infinite number of coexisting double-scroll chaotic attractors and coexisting quasi-periodic attractors with same shape but different positions, which means the model has uniform extreme multi-stability. Therefore, a reversible image encryption and hiding algorithm is proposed based on the proposed model. The encryption process scrambles original image using a chaotic sequence randomly generated by the FOMHNN, and the finite domain bidirectional diffusion algorithm is used to diffuse the scrambled image. Bit plane decomposition and Least Significant Bit (LSB) algorithm are used for hiding process. Finally, experimental results are given to show that the algorithm has high security and robustness, which has a good application prospect in the field of image information security.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116757"},"PeriodicalIF":5.3,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144314519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Decoding driving states based on normalized mutual information features and hyperparameter self-optimized Gaussian kernel-based radial basis function extreme learning machine 基于归一化互信息特征和超参数自优化高斯核的径向基函数极限学习机的驱动状态解码

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-18 DOI: 10.1016/j.chaos.2025.116751

Jichi Chen , Fuchang Fan , Chunfeng Wei , Kemal Polat , Fayadh Alenezi

{"title":"Decoding driving states based on normalized mutual information features and hyperparameter self-optimized Gaussian kernel-based radial basis function extreme learning machine","authors":"Jichi Chen , Fuchang Fan , Chunfeng Wei , Kemal Polat , Fayadh Alenezi","doi":"10.1016/j.chaos.2025.116751","DOIUrl":"10.1016/j.chaos.2025.116751","url":null,"abstract":"<div><div>This study presents an analysis of driver's unfavorable driving states (UDS) using normalized mutual information (NMI) features and a hyperparameter self-optimized radial basis function extreme learning machine (RBF-ELM). By computing the mutual information across different frequency bands (including delta, theta, alpha, beta, and gamma frequency bands) in EEG signals, brain functional connectivity matrices are constructed to reveal the nonlinear coupling relationships between brain regions. The introduction of NMI reduces the effects of signal dimensionality differences, which ensures the comparability of features across subjects. After preprocessing and band-pass filtering of EEG signals, NMI features from five frequency bands are extracted, and RBF-ELM is then employed for distinguishing UDS. In the RBF-ELM model, an automatic hyperparameter optimization approach is implemented, combining grid search and five-fold cross-validation to select the optimal number of hidden layer neurons and regularization parameters. The experimental results show that the NMI features from the beta band provide excellent classification performance, achieving an accuracy of 94.06 % in detecting UDS. Moreover, the hyperparameter self-optimized RBF-ELM model exhibits outstanding performance on the test set, with an area under the receiver operating characteristic (ROC) curve (AUC) value of 0.9915. Compared to classic machine learning algorithms, the proposed method outperforms support vector machine, ensemble learning, linear discriminant analysis, logistic regression, neural networks, and k-nearest neighbors in terms of accuracy, sensitivity, precision, and specificity. The method presented in this paper provides a promising solution for real-time monitoring of drivers' psychological states and fatigue warning.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116751"},"PeriodicalIF":5.3,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144308144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Dynamic evolution of cooperation based on adaptive reputation threshold and game transition 基于自适应声誉阈值和博弈转移的合作动态演化

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-18 DOI: 10.1016/j.chaos.2025.116693

Hongyu Yue , Xiaojin Xiong , Minyu Feng , Attila Szolnoki

{"title":"Dynamic evolution of cooperation based on adaptive reputation threshold and game transition","authors":"Hongyu Yue , Xiaojin Xiong , Minyu Feng , Attila Szolnoki","doi":"10.1016/j.chaos.2025.116693","DOIUrl":"10.1016/j.chaos.2025.116693","url":null,"abstract":"<div><div>In real-world social systems, individual interactions are frequently shaped by reputation, which not only influences partner selection but also affects the nature and benefits of the interactions themselves. We propose a heterogeneous game transition model that incorporates a reputation-based dynamic threshold mechanism to investigate how reputation regulates game evolution. In our framework, individuals determine the type of game they engage in according to their own and their neighbors’ reputation levels. In turn, the outcomes of these interactions modify their reputations, thereby driving the adaptation and evolution of future strategies in a feedback-informed manner. Through simulations on two representative topological structures, square lattice and small-world networks, we find that network topology exerts a profound influence on the evolutionary dynamics. Due to its localized connection characteristics, the square lattice network fosters the long-term coexistence of competing strategies. In contrast, the small-world network is more susceptible to changes in system parameters due to the efficiency of information dissemination and the sensitivity of strategy evolution. Additionally, the reputation mechanism is significant in promoting the formation of a dominant state of cooperation, especially in contexts of high sensitivity to reputation. Although the initial distribution of reputation influences the early stage of the evolutionary path, it has little effect on the final steady state of the system. Hence, we can conclude that the ultimate steady state of evolution is primarily determined by the reputation mechanism and the network structure.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116693"},"PeriodicalIF":5.3,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144308170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Granular Q-learning adaptation boosts collective welfare in multi-agent Prisoner’s Dilemma 粒度q学习自适应提高多智能体囚徒困境中的集体福利

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-18 DOI: 10.1016/j.chaos.2025.116642

Hsuan-Wei Lee , Yi-Ning Weng

{"title":"Granular Q-learning adaptation boosts collective welfare in multi-agent Prisoner’s Dilemma","authors":"Hsuan-Wei Lee , Yi-Ning Weng","doi":"10.1016/j.chaos.2025.116642","DOIUrl":"10.1016/j.chaos.2025.116642","url":null,"abstract":"<div><div>Understanding how cooperation emerges and stabilizes in a difficult environment is a core challenge across biology, physics, and the social sciences. We present a reinforcement-learning framework for the Prisoner’s Dilemma Game between the two distinct agent types: Interactive Identity (II) and Interactive Diversity (ID). While II agents compress all neighbor interactions into one strategy update, ID agents assign one strategy to each neighbor, enabling finer-grained strategic adaptation. We systematically sweep dilemma strengths and analyze both homogeneous and heterogeneous network structures to show that ID agents persistently outcompete II agents at sustaining cooperation, especially for moderate temptations to defect. Moreover, in scenarios where agents can shift from II to ID based on relative payoffs, ID learning often invades populations of II learners, though influential hub nodes can impede this transition in heterogeneous networks. Spatiotemporal analyses indicate that ID agents form a strong cluster of cooperation, which prevents defection from spreading. Finally, extrapolating these results to wider moral dimensions, such as honesty, trust, and punishment, can give a rich understanding of how this granular, neighbor-specific learning raises collective welfare within both natural ecosystems and engineered multi-agent systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116642"},"PeriodicalIF":5.3,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144308171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Emergence of social hierarchies in a society with two competitive groups 在有两个竞争群体的社会中，社会等级制度的出现

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-06-18 DOI: 10.1016/j.chaos.2025.116660

Marc Sadurní, Josep Perelló, Miquel Montero

{"title":"Emergence of social hierarchies in a society with two competitive groups","authors":"Marc Sadurní, Josep Perelló, Miquel Montero","doi":"10.1016/j.chaos.2025.116660","DOIUrl":"10.1016/j.chaos.2025.116660","url":null,"abstract":"<div><div>Agent-based models describing social interactions among individuals can help to better understand emerging macroscopic patterns in societies. One of the topics which is worth tackling is the formation of different kinds of hierarchies that emerge in social spaces such as cities. Here we propose a Bonabeau-like model by adding a second group of agents. The fundamental particularity of our model is that only a pairwise interaction between agents of the opposite group is allowed. Agent fitness can thus only change by competition among the two groups, while the total fitness in the society remains constant. The main result is that for a broad range of values of the model parameters, the fitness of the agents of each group show a decay in time except for one or very few agents which capture almost all the fitness in the society. Numerical simulations also reveal a singular shift from egalitarian to hierarchical society for each group. This behaviour depends on the control parameter <span><math><mi>η</mi></math></span>, playing the role of the inverse of the temperature of the system. Results are invariant with regard to the system size, contingent solely on the quantity of agents within each group. Finally, scaling laws are provided thus showing a data collapse from different model parameters and they follow a shape which can be related to the presence of a phase transition in the model.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116660"},"PeriodicalIF":5.3,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144308143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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