IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0244665

Fabrizio Lillo, Giorgio Rizzini

引用次数: 0

Asymptotic convergence for the dynamics of a Duffing-like oscillator under scaling analyses. 标度分析下类duffing振子动力学的渐近收敛性。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0233700

André Luís Prando Livorati, André Paganotti Faber, Daniel Borin

引用次数: 0

Orbits of families of discrete dynamical systems evolving in the natural numbers. 以自然数演化的离散动力系统族的轨道。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0233348

Eric Campos Cantón

引用次数: 0

Universal finite-time scaling in the transcritical, saddle-node, and pitchfork discrete and continuous bifurcations. 跨临界、鞍节点和干草叉离散和连续分岔中的通用有限时间标度。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0231950

Álvaro Corral

引用次数: 0

Exploration of Bogdanov-Takens and Hopf bifurcation through coupling of nonlinear recovery with multiple reinfections of COVID-19. 新型冠状病毒肺炎非线性恢复与多次再感染耦合的Bogdanov-Takens和Hopf分岔

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0243816

Arpita Devi, Praveen Kumar Gupta

{"title":"Exploration of Bogdanov-Takens and Hopf bifurcation through coupling of nonlinear recovery with multiple reinfections of COVID-19.","authors":"Arpita Devi, Praveen Kumar Gupta","doi":"10.1063/5.0243816","DOIUrl":"https://doi.org/10.1063/5.0243816","url":null,"abstract":"This study introduces a five-compartment model to account for the impacts of vaccination-induced recovery and nonlinear treatment rates in settings with limited hospital capacity. To reflect real-world scenarios, the model incorporates multiple reinfections in both vaccinated and recovered groups. It reveals a range of dynamics, including a disease-free equilibrium and up to six endemic equilibria. Notably, the model demonstrates that COVID-19 can persist even when the basic reproduction number is less than one, due to backward bifurcation, which conditions the global stability of the disease-free equilibrium. Various bifurcations are analyzed, including saddle-node, Bogdanov-Takens of codimension-2, and Hopf bifurcation of codimension-1. As transmission rates increase, unstable oscillations stabilize, with the Hopf bifurcation becoming supercritical. The model also highlights forward hysteresis, driven by the multistability of endemic equilibria. Key factors influencing the disease's local endemic behavior, such as effective transmission rates and reinfection rates among vaccinated and recovered individuals, are emphasized. Numerical simulations validate the model and underscore its practical relevance.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142945611","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 evolution of cooperation in spatial public goods game with tolerant punishment based on reputation threshold. 基于声誉阈值的宽容惩罚空间公共物品博弈中的合作演化。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0250120

Gui Zhang, Yichao Yao, Ziyan Zeng, Minyu Feng, Manuel Chica

{"title":"The evolution of cooperation in spatial public goods game with tolerant punishment based on reputation threshold.","authors":"Gui Zhang, Yichao Yao, Ziyan Zeng, Minyu Feng, Manuel Chica","doi":"10.1063/5.0250120","DOIUrl":"10.1063/5.0250120","url":null,"abstract":"Reputation and punishment are significant guidelines for regulating individual behavior in human society, and those with a good reputation are more likely to be imitated by others. In addition, society imposes varying degrees of punishment for behaviors that harm the interests of groups with different reputations. However, conventional pairwise interaction rules and the punishment mechanism overlook this aspect. Building on this observation, this paper enhances a spatial public goods game in two key ways: (1) We set a reputation threshold and use punishment to regulate the defection behavior of players in low-reputation groups while allowing defection behavior in high-reputation game groups. (2) Differently from pairwise interaction rules, we combine reputation and payoff as the fitness of individuals to ensure that players with both high payoff and reputation have a higher chance of being imitated. Through simulations, we find that a higher reputation threshold, combined with a stringent punishment environment, can substantially enhance the level of cooperation within the population. This mechanism provides deeper insight into the widespread phenomenon of cooperation that emerges among individuals.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142920877","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

Metastability of multi-population Kuramoto-Sakaguchi oscillators. 多种群Kuramoto-Sakaguchi振荡子的亚稳态。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0220321

Bojun Li, Nariya Uchida

引用次数: 0

Wavebreakers in excitable systems and possible applications for corrosion mitigation. 可激系统中的破波器及其可能的缓蚀应用。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0237388

Bruno C Batista, Elena Romanovskaia, Valentin Romanovski, John R Scully, Istvan Z Kiss, Oliver Steinbock

{"title":"Wavebreakers in excitable systems and possible applications for corrosion mitigation.","authors":"Bruno C Batista, Elena Romanovskaia, Valentin Romanovski, John R Scully, Istvan Z Kiss, Oliver Steinbock","doi":"10.1063/5.0237388","DOIUrl":"10.1063/5.0237388","url":null,"abstract":"Traveling waves of excitation arise from the spatial coupling of local nonlinear events by transport processes. In corrosion systems, these electro-dissolution waves relay local perturbations across large portions of the metal surface, significantly amplifying overall damage. For the example of the magnesium alloy AZ31B exposed to sodium chloride solution, we report experimental results suggesting the existence of a vulnerable zone in the wake of corrosion waves where local perturbations can induce a unidirectional wave pulse or segment. The evolution of these segments, combined with the absence of rotating spiral waves, imply subexcitable dynamics for which the segments' open ends tangentially retract. Using a simple excitable reaction-diffusion model, we identify parameters that replicate these experimental observations. Under these conditions, small protected disks act as wavebreakers, disrupting continuous fronts, which then shrink and disappear. We further explore different placement schemes of these wavebreakers to optimize potential corrosion mitigation. For constant surface coverage, many small wavebreakers prove more effective than a few large ones. A comparison of triangular, square, rectangular, hexagonal, aperiodic Penrose, and random lattice geometries indicates that triangular placements of wavebreakers are generally the optimal choice, while rectangular and random lattices perform poorly. Although wavebreakers were not demonstrated experimentally in this study, these findings provide concrete design guidance for the protection of alloy surfaces prone to wave-mediated corrosion.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142920951","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

Chimera states in a system of stationary and flying-through deterministic particles with an internal degree of freedom. 具有内部自由度的固定和穿越确定性粒子系统中的嵌合体状态。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0242820

Maxim I Bolotov, Lev A Smirnov, Vyacheslav O Munyaev, Grigory V Osipov

引用次数: 0

Bifurcation and stability analysis of within host HIV dynamics with multiple infections and intracellular delay. 多重感染和细胞内延迟的宿主HIV动力学的分岔和稳定性分析。

IF 2.7 2区数学

Chaos Pub Date : 2025-01-01 DOI: 10.1063/5.0232978

Surya Prakash, Anuj Kumar Umrao, Prashant K Srivastava

{"title":"Bifurcation and stability analysis of within host HIV dynamics with multiple infections and intracellular delay.","authors":"Surya Prakash, Anuj Kumar Umrao, Prashant K Srivastava","doi":"10.1063/5.0232978","DOIUrl":"https://doi.org/10.1063/5.0232978","url":null,"abstract":"Human immunodeficiency virus (HIV) manifests multiple infections in CD4+ T cells, by binding its envelope proteins to CD4 receptors. Understanding these biological processes is crucial for effective interventions against HIV/AIDS. Here, we propose a mathematical model that accounts for the multiple infections of CD4+ T cells and an intracellular delay in the dynamics of HIV infection. We study the model system and establish the conditions under which the disease-free equilibrium point and the endemic equilibrium point are locally and globally asymptotically stable. We further provide the conditions under which these equilibrium points undergo forward or backward transcritical bifurcations for the autonomous model and Hopf bifurcation for both the delay model and autonomous models. Our simulation results show that an increase in the rate of multiple infections of CD4+ T cells stabilizes the endemic equilibrium point through Hopf bifurcation. However, in the presence of an intracellular delay, the model system evinces three types of stability scenarios at the endemic equilibrium point-instability switch, stability switch, and stability invariance and is demonstrated using bi-parameter diagrams. One of the novel aspects of this study is exhibiting all these interesting nonlinear dynamical results within a single model incorporating a single time delay.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 1","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142962003","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

Chaos最新文献