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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":"<p><p>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.</p>","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
Influences of individual interaction validity on coupling propagation of information and disease in a two-layer higher-order network.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0253301
Ming Li, Liang'an Huo
{"title":"Influences of individual interaction validity on coupling propagation of information and disease in a two-layer higher-order network.","authors":"Ming Li, Liang'an Huo","doi":"10.1063/5.0253301","DOIUrl":"https://doi.org/10.1063/5.0253301","url":null,"abstract":"<p><p>All complex phenomena in complex systems arise from individual interactions, which include pairs and higher-order forms. Research indicates that various physical and mental factors can impact the validity of these interactions, potentially preventing diffusion phenomena. This paper explores the influences of the interaction validity on coupling propagation of information and disease in a two-layer higher-order network. Interaction validity is defined using a threshold function based on the individual activity level. The dynamic evolution equations of the nodes are derived by using the microscopic Markov chain approach, and the transmission threshold of the disease is determined. Extensive numerical simulations on both artificial and real-world networks reveal that higher-order interactions significantly enhance the diffusion of disease and related information. Reducing individual activity levels diminishes interaction validity, thereby restricting disease transmission. Moreover, optimizing disease control can be achieved by increasing public activity in virtual social networks while reducing it in physical contact networks. Strengthening interlayer coupling enhances self-protective measures, thus amplifying the suppression of disease by information.</p>","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":"143499596","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 recursive method to find the extreme and superstable curves in the parameter space of dissipative one-dimensional mappings.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0239022
Diogo Ricardo da Costa, Luam Silva de Paiva, Julia G S Rocha, Joelson D V Hermes, Matheus Hansen, Ricardo Luiz Viana, Iberê Luiz Caldas, Rene O Medrano-T
{"title":"A recursive method to find the extreme and superstable curves in the parameter space of dissipative one-dimensional mappings.","authors":"Diogo Ricardo da Costa, Luam Silva de Paiva, Julia G S Rocha, Joelson D V Hermes, Matheus Hansen, Ricardo Luiz Viana, Iberê Luiz Caldas, Rene O Medrano-T","doi":"10.1063/5.0239022","DOIUrl":"https://doi.org/10.1063/5.0239022","url":null,"abstract":"<p><p>This paper presents a recursive method for identifying extreme and superstable curves in the parameter space of dissipative one-dimensional maps. The method begins by constructing an Archimedean spiral with a constant arc length. Subsequently, it identifies extreme and superstable curves by calculating an observable ψ. The spiral is used to locate a region where ψ changes sign. When this occurs, a bisection method is applied to determine the first point on the desired superstable or extreme curve. Once the initial direction is established, the recursive method identifies subsequent points using an additional bisection method, iterating the process until the stopping conditions are met. The logistic-Gauss map demonstrates each step of the method, as it exhibits a wide variety of periodicity structures in the parameter space, including cyclic extreme and superstable curves, which contribute to the formation of period-adding structures. Examples of extreme and superstable curves obtained by the recursive method are presented. It is important to note that the proposed method is generalizable and can be adapted to any one-dimensional map.</p>","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":"143439870","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
The role of coupling and external current in two coupled Hodgkin-Huxley neurons.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0243433
T Bogatenko, K Sergeev, G Strelkova
{"title":"The role of coupling and external current in two coupled Hodgkin-Huxley neurons.","authors":"T Bogatenko, K Sergeev, G Strelkova","doi":"10.1063/5.0243433","DOIUrl":"https://doi.org/10.1063/5.0243433","url":null,"abstract":"<p><p>This research studies the properties of two coupled Hodgkin-Huxley neurons. The influence of coupling strength as well as individual parameters of the neurons (i.e., initial conditions and external current values) have been studied. A Pearson correlation coefficient is used to estimate the synchrony degree between the neurons. It was found that the two neurons can be synchronized fairly easily in different regimes based on the combination of parameters: for some cases, the neurons are synchronous in a self-oscillating regime, but for other combinations, a single-spike regime becomes prevalent. It was also discovered that the synchronization regime can be controlled both by the external current value of each neuron and the coupling strength value. The obtained results can be profitable for future research of complex networks of artificial neurons.</p>","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":"143467093","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 combat game model between hierarchical networks.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0245941
Hao Chen, Zhixin Liu
{"title":"A combat game model between hierarchical networks.","authors":"Hao Chen, Zhixin Liu","doi":"10.1063/5.0245941","DOIUrl":"https://doi.org/10.1063/5.0245941","url":null,"abstract":"<p><p>Inter-network combat between hierarchical systems plays an essential role in shaping the landscape of everyone's surroundings, influencing fields such as sports tournaments, business competitions, military conflicts, and trade wars. In response, this study proposes a hierarchical combat game model to analyze the dynamics of leader-follower networks engaged in adversarial interactions. Within this model, leaders are motivated by the collective goals, framing the strategic dilemmas faced by followers, who must balance adherence to leadership strategies against minimizing personal risk. Utilizing the leader-follower game as a theoretical framework, the study investigates the impact of leader characteristics on overall success, measured by the winning percentage (WP). The key findings reveal that increasing the number of leaders consistently enhances WP, with the effect being more pronounced in larger populations. However, higher aspiration level and rationality among leaders may impede their chances of winning the game. Additionally, the analysis uncovers strong correlations between the differences in the number of surviving followers, differences in payoffs, and differences in the proportion of followers adopting the Attack strategy, highlighting critical factors that drive success in combat scenarios. Furthermore, our investigation into follower dynamics reveals that the side making the first sacrifice often wins.</p>","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":"143472379","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
Phase-locking characteristics and dynamics of the subharmonic entrainment of breathing temporal solitons.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0229600
Heng Dong, Xiankun Yao, Qian Zhang
{"title":"Phase-locking characteristics and dynamics of the subharmonic entrainment of breathing temporal solitons.","authors":"Heng Dong, Xiankun Yao, Qian Zhang","doi":"10.1063/5.0229600","DOIUrl":"https://doi.org/10.1063/5.0229600","url":null,"abstract":"<p><p>Subharmonic entrainment (SHE) of the breathing solitons, an intriguing resonance phenomenon, arises from frequency locking between the breathing frequency and the cavity repetition frequency. This study investigates the phase-locking characteristics and dynamics of the SHE of breathing temporal cavity solitons. We reveal that the breathing solitons arise from the periodic enhancement and depletion of coherence between solitons and pump light, achieving SHE locking across various periods within the stringent parameter ranges of driving intensity, detuning, and cavity finesse. Furthermore, we summarize the excitation condition of SHE within the phase-locking region, enhancing the understanding of the dynamics of SHE. Our research could provide valuable insights into the generation and regulation of SHE.</p>","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":"143467076","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
Quantifying tipping behavior: Geometric early warnings and quasipotentials for a box model of AMOC.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0240959
Ruth R Chapman, Peter Ashwin, Richard A Wood
{"title":"Quantifying tipping behavior: Geometric early warnings and quasipotentials for a box model of AMOC.","authors":"Ruth R Chapman, Peter Ashwin, Richard A Wood","doi":"10.1063/5.0240959","DOIUrl":"https://doi.org/10.1063/5.0240959","url":null,"abstract":"<p><p>A non-autonomous system can undergo a rapid change of state in response to a small or slow change in forcing, due to the presence of nonlinear processes that give rise to critical transitions or tipping points. Such transitions are thought possible in various subsystems (tipping elements) of the Earth's climate system. The Atlantic Meridional Overturning Circulation (AMOC) is considered a particular tipping element where models of varying complexity have shown the potential for bi-stability and tipping. We consider both transient and stochastic forcing of a simple but data-adapted model of the AMOC. We propose and test a geometric early warning signal to predict whether tipping will occur for large transient forcing, based on the dynamics near an edge state. For stochastic forcing, we quantify mean times between noise-induced tipping in the presence of stochastic forcing using an Ordered Line Integral Method of Cameron (2017) to estimate the quasipotential. We calculate minimum action paths between stable states for various scenarios. Finally, we discuss the problem of finding early warnings in the presence of both transient and stochastic forcing.</p>","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":"143499530","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
Approach to nonequilibrium: From anomalous to Brownian diffusion via non-Gaussianity.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0243203
I G Marchenko, I I Marchenko, J Łuczka, J Spiechowicz
{"title":"Approach to nonequilibrium: From anomalous to Brownian diffusion via non-Gaussianity.","authors":"I G Marchenko, I I Marchenko, J Łuczka, J Spiechowicz","doi":"10.1063/5.0243203","DOIUrl":"https://doi.org/10.1063/5.0243203","url":null,"abstract":"<p><p>Recent progress in experimental techniques, such as single particle tracking, allows one to analyze both nonequilibrium properties and an approach to equilibrium. There are examples showing that processes occurring at finite timescales are distinctly different than their equilibrium counterparts. In this work, we analyze a similar problem of an approach to nonequilibrium. We consider an archetypal model of a nonequilibrium system consisting of a Brownian particle dwelling in a spatially periodic potential and driven by an external time-periodic force. We focus on a diffusion process and monitor its development in time. In the presented parameter regime, the excess kurtosis measuring the Gaussianity of the particle displacement distribution evolves in a non-monotonic way: first, it is negative (platykurtic form), next, it becomes positive (leptokurtic form), and then decays to zero (mesokurtic form). Despite the latter fact, diffusion in the long time limit is Brownian, yet non-Gaussian. Moreover, we discover a correlation between non-Gaussianity of the particle displacement distribution and transient anomalous diffusion behavior emerging for finite timescales.</p>","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":"143254851","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 complex dynamics in a Ricker type predator-prey model with prey refuge.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0232030
Ibraheem M Alsulami, Rizwan Ahmed, Faraha Ashraf
{"title":"Exploring complex dynamics in a Ricker type predator-prey model with prey refuge.","authors":"Ibraheem M Alsulami, Rizwan Ahmed, Faraha Ashraf","doi":"10.1063/5.0232030","DOIUrl":"https://doi.org/10.1063/5.0232030","url":null,"abstract":"<p><p>This study examines the complexities of a discrete-time predator-prey model by integrating the impact of prey refuge, with the goal of providing a more realistic understanding of predator-prey interactions. We explore the existence and stability of fixed points within the model, offering a thorough examination of these critical aspects. Furthermore, we use center manifold and bifurcation theory to thoroughly analyze the presence and direction of period-doubling and Neimark-Sacker bifurcations. We also provide numerical simulations to validate our theoretical findings and demonstrate the intricacy of the model. The findings suggest that the inclusion of prey refuge has a notable stabilizing impact on the predator-prey model, hence enhancing the overall stability and resilience of the ecosystem.</p>","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":"143122361","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
Extreme events in the Higgs oscillator: A dynamical study and forecasting approach.
IF 2.7 2区 数学
Chaos Pub Date : 2025-02-01 DOI: 10.1063/5.0248180
Wasif Ahamed M, Kavitha R, Chithiika Ruby V, Sathish Aravindh M, Venkatesan A, Lakshmanan M
{"title":"Extreme events in the Higgs oscillator: A dynamical study and forecasting approach.","authors":"Wasif Ahamed M, Kavitha R, Chithiika Ruby V, Sathish Aravindh M, Venkatesan A, Lakshmanan M","doi":"10.1063/5.0248180","DOIUrl":"https://doi.org/10.1063/5.0248180","url":null,"abstract":"<p><p>Many dynamical systems exhibit unexpected large amplitude excursions in the chronological progression of a state variable. In the present work, we consider the dynamics associated with the one-dimensional Higgs oscillator, which is realized through gnomonic projection of a harmonic oscillator defined on a spherical space of constant curvature onto a Euclidean plane, which is tangent to the spherical space. While studying the dynamics of such a Higgs oscillator subjected to damping and an external forcing, various bifurcation phenomena, such as symmetry breaking, period doubling, and intermittency crises are encountered. As the driven parameter increases, the route to chaos takes place via intermittency crisis, and we also identify the occurrence of extreme events due to the interior crisis. The study of probability distribution also confirms the occurrence of extreme events. Finally, we train the long short-term memory neural network model with the time-series data to forecast extreme events.</p>","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":"143122363","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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