Chaos Solitons & Fractals最新文献

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Mask wearing induces multiple transitions of respiratory infectious disease spreading in metropolitan populations 戴口罩导致大城市人群呼吸道传染病传播的多重转变
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-15 DOI: 10.1016/j.chaos.2025.116541
Wenjie Li , Ruijia You , Jiayuan Cao , Song Su , Chun Yang , Wei Wang
{"title":"Mask wearing induces multiple transitions of respiratory infectious disease spreading in metropolitan populations","authors":"Wenjie Li ,&nbsp;Ruijia You ,&nbsp;Jiayuan Cao ,&nbsp;Song Su ,&nbsp;Chun Yang ,&nbsp;Wei Wang","doi":"10.1016/j.chaos.2025.116541","DOIUrl":"10.1016/j.chaos.2025.116541","url":null,"abstract":"<div><div>The outbreak of respiratory infectious diseases in metropolitan areas is often accompanied by the widespread adoption of mask wearing behavior. However, the dynamic feedback mechanism between mask wearing and disease spreading remains insufficiently understood. In this study, we first construct an age-structured metropolitan population using census data and describe its interpersonal contact network using age-specific contact matrices. Subsequently, We propose a coupled spreading dynamics model that accounts for the asymmetric interaction between mask wearing and disease spreading, where mask wearing behavior is influenced by both local and global information. A theoretical analysis framework is developed by extending the Microscopic Markov Chain Approach, and the basic reproduction number, <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, is computed using the next-generation matrix method. Finally, we conduct numerical simulations to explore the coevolution of mask wearing behavior and respiratory disease spreading in metropolitan populations. The introduction of mask wearing induces multiple transitions in the system. Based on the degree of disease responsiveness to mask wearing, we identify three categories of diseases: Mask-sensitive diseases, Mask-resistant diseases, and Mask-evading diseases. The evolution of mask wearing behavior with increasing disease spreading probability exhibits three distinct phases: Non-mask phase, Growth phase, and Decline phase. While mask wearing effectively reduces the steady state infection density and the peak infection density, it simultaneously prolongs the time required to reach these states. Prolonging the duration of mask wearing increases the average mask wearing rate, whereas intensifying public campaigns reduces it. Additionally, mask wearing increases the infection risk among younger populations and within school settings.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116541"},"PeriodicalIF":5.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947928","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
Shock wave dynamics via symmetry-driven analysis of a two-phase flow with the Chaplygin pressure law 基于Chaplygin压力定律的对称驱动两相流激波动力学分析
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-15 DOI: 10.1016/j.chaos.2025.116512
Aniruddha Kumar Sharma , Sumanta Shagolshem , Rajan Arora
{"title":"Shock wave dynamics via symmetry-driven analysis of a two-phase flow with the Chaplygin pressure law","authors":"Aniruddha Kumar Sharma ,&nbsp;Sumanta Shagolshem ,&nbsp;Rajan Arora","doi":"10.1016/j.chaos.2025.116512","DOIUrl":"10.1016/j.chaos.2025.116512","url":null,"abstract":"<div><div>This article investigates wave propagation in a two-phase flow with Chaplygin pressure law, an equation where pressure inversely depends on density. The study employs Lie symmetries and symmetry-driven analysis to derive one-dimensional optimal subalgebras using the adjoint transformation and the invariant functions. Symmetry reductions yield several new exact solutions, and their physical behavior is examined graphically. Further, solutions such as peak-on waves, kinks, and parabolic solitons are identified using traveling wave transformation. Next, a framework of non-locally related PDE, including potential system and inverse potential systems (IPS), is designed to classify non-local symmetries and discover more non-trivial exact solutions for the model. Then, novel conservation laws are constructed using the non-linear self-adjointness property of the model. Finally, the research explores the dynamic evolution of characteristic shock, weak discontinuity, and their interactions using one of the developed solutions. It contributes to understanding two-phase flow, offering practical implications for astrophysics, high-speed aerodynamics, and energy systems with unconventional pressure laws.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116512"},"PeriodicalIF":5.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947920","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
Self-organizing states of swarmalator collectives with phase lag 具有相位滞后的蚁群自组织状态
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-15 DOI: 10.1016/j.chaos.2025.116532
Rakshita Sharma , Akash Yadav , V.K. Chandrasekar , D.V. Senthilkumar
{"title":"Self-organizing states of swarmalator collectives with phase lag","authors":"Rakshita Sharma ,&nbsp;Akash Yadav ,&nbsp;V.K. Chandrasekar ,&nbsp;D.V. Senthilkumar","doi":"10.1016/j.chaos.2025.116532","DOIUrl":"10.1016/j.chaos.2025.116532","url":null,"abstract":"<div><div>We investigate the effect of phase lag on the two-dimensional swarmalator collectives. We find that the parameter space of dynamical states with spatial angle and phase correlation, and kinetic energy increases with increase in the phase lag of the swarmalators by decrease the spread of the static asynchronized state without any space-phase correlation and kinetic energy. The phase lag parameter also induces cluster states and breathing chimera for the attractive phase coupling among the swarmalators. The phase lag parameter manifests abrupt transitions in the order parameters characterizing the dynamical states and facilitates extreme multistability among the observed dynamical states of the swarmalator collectives. We deduce the analytical stability condition for the static synchronized state for a system of two coupled swarmalators, which agrees with the simulation results of an ensemble of swarmalator collectives with phase lag.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116532"},"PeriodicalIF":5.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947980","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
The evolutionary fairness dynamics on multiplex networks with information reliability and time delays 具有信息可靠性和时延的多路复用网络演化公平动力学
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-15 DOI: 10.1016/j.chaos.2025.116516
Yang Wang , Xinlong Li , Jing Yao , Wei Zhang
{"title":"The evolutionary fairness dynamics on multiplex networks with information reliability and time delays","authors":"Yang Wang ,&nbsp;Xinlong Li ,&nbsp;Jing Yao ,&nbsp;Wei Zhang","doi":"10.1016/j.chaos.2025.116516","DOIUrl":"10.1016/j.chaos.2025.116516","url":null,"abstract":"<div><div>This paper studies the fairness behavior of an ultimatum game played on multiplex networks from the perspective of stability and consensus, which enables us to gain more insights into large-scale complex systems, ranging from biology to behavioral sciences to economics, regarding the evolution of fairness and cooperative behavior. In addition to existing works, a more realistic and challenging scenario is considered, where the credit and response capacity of each player are not assumed identical, and the possible distortion or delay in the information transmission is taken into account. The conditions for the system to asymptotically achieve fairness in two cases are rigorously derived which show an inversely proportional relationship between the largest eigenvalue of the normalized supra-Laplacian matrix and the critical offer division ratio, and reveal the effect of information reliability and time delay on the convergence property of the overall system. The results of theoretical analysis are verified via extensive numerical examples in which an indicator called the fairness index is used to measure the evolution of fairness.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116516"},"PeriodicalIF":5.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947922","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
Modeling social cohesion with coupled oscillators: Synchrony and fragmentation 用耦合振荡器模拟社会凝聚力:同步性和分裂性
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-15 DOI: 10.1016/j.chaos.2025.116509
Laura P. Schaposnik , Sheryl Hsu , Robin I.M. Dunbar
{"title":"Modeling social cohesion with coupled oscillators: Synchrony and fragmentation","authors":"Laura P. Schaposnik ,&nbsp;Sheryl Hsu ,&nbsp;Robin I.M. Dunbar","doi":"10.1016/j.chaos.2025.116509","DOIUrl":"10.1016/j.chaos.2025.116509","url":null,"abstract":"<div><div>Maintaining cohesion is a fundamental challenge in group-living species, where individuals must balance their own activity schedules with the demands of social interactions. In this paper, we model group dynamics using a network of semi-coupled oscillators to investigate how differences in activity schedules impact social cohesion and fragmentation. By introducing parameters for social “stickiness” (interaction strength) and activity synchronization, we simulate group behavior across varying conditions. Our findings reveal that, mathematically, cohesive groups can fragment when individual schedules diverge beyond critical thresholds, and that increasing social stickiness mitigates this effect. We explore these dynamics in the context of group size, subgroup formation, and coupling parameters, drawing parallels to network cohesion and fragmentation in human and artificial social systems. These results highlight the role of synchronization in maintaining stable social structures and suggest future avenues for empirical validation and application in broader social network contexts.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116509"},"PeriodicalIF":5.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947921","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
Enriched dynamical behavior of a novel locally active memristor-driven neuron map 一种新的局部主动记忆电阻器驱动神经元图的丰富动态行为
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-15 DOI: 10.1016/j.chaos.2025.116537
Tao Ma , Jun Mou , Wanzhong Chen
{"title":"Enriched dynamical behavior of a novel locally active memristor-driven neuron map","authors":"Tao Ma ,&nbsp;Jun Mou ,&nbsp;Wanzhong Chen","doi":"10.1016/j.chaos.2025.116537","DOIUrl":"10.1016/j.chaos.2025.116537","url":null,"abstract":"<div><div>The construction of neuron models using memristors with bionic properties can provide new ideas for brain-like research. This paper proposes a novel discrete locally active memristor (DLAM) designed to drive neuron map to generate complex chaotic dynamics. The nonvolatility and locally active properties of the proposed memristor are exhaustively investigated. The bifurcation behavior is analyzed by varying the DLAM-dependent parameters and interesting Feigenbaum remerging trees are found. Moreover, the variation of the memristor parameters is capable of triggering multistability and generating complex heterogeneous coexistence. Adjusting the initial conditions of the memristor was able to induce offset-boosted coexistence with a hybrid topology. Finally, a pseudo random sequence generator (PRNG) is designed using chaotic sequences generated by DLAM-driven neuron map and shows excellent performance. A DSP experimental platform was built for numerical simulation verification. The novel DLAM is proposed to provide new insights for the study of nonlinear behavior in neuron models.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116537"},"PeriodicalIF":5.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947929","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
Linear–quadratic optimal control of infinite-dimensional stochastic evolution equation with jumps 带跳跃的无限维随机演化方程的线性二次最优控制
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-15 DOI: 10.1016/j.chaos.2025.116494
Shijun Wang , Maoning Tang , Qingxin Meng
{"title":"Linear–quadratic optimal control of infinite-dimensional stochastic evolution equation with jumps","authors":"Shijun Wang ,&nbsp;Maoning Tang ,&nbsp;Qingxin Meng","doi":"10.1016/j.chaos.2025.116494","DOIUrl":"10.1016/j.chaos.2025.116494","url":null,"abstract":"<div><div>This paper discusses a stochastic linear–quadratic optimal control problem with jumps in an infinite-dimensional Hilbert space. The state equation of this linear–quadratic optimal control problem is a stochastic evolution equation driven by a Poisson random martingale measure and a one dimensional Brownian motion. The cost functional is a quadratic generalized function consisting of a state process and a control process. In order to ensure the suitability and solvability of the problem, firstly, by using the infinite-dimensional stochastic analysis theory, two types of semilinear forward and backward stochastic evolution equations are investigated separately to prove the continuous dependence on the generating elements as well as the existence and uniqueness of the solutions. Secondly, through Yosida approximation theory, a new infinite-dimensional duality relation is constructed between the state equations and the adjoint equations, which is used to obtain the dual representation of the optimal control and the solvability of the infinite-dimensional stochastic Hamiltonian system. Here the stochastic Hamiltonian system consisting of state equations, adjoint equations and stationarity conditions is a infinite-dimension fully coupled forward backward stochastic evolution equations. Finally, an infinite-dimensional Riccati equation for the control system is introduced to decouple the stochastic Hamiltonian system, and the state feedback representation of the optimal control and the corresponding value function are derived.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116494"},"PeriodicalIF":5.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947979","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
Non-autonomous standard nontwist map 非自治标准非扭曲映射
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-15 DOI: 10.1016/j.chaos.2025.116492
Marcos V. de Moraes , Iberê L. Caldas , Yves Elskens
{"title":"Non-autonomous standard nontwist map","authors":"Marcos V. de Moraes ,&nbsp;Iberê L. Caldas ,&nbsp;Yves Elskens","doi":"10.1016/j.chaos.2025.116492","DOIUrl":"10.1016/j.chaos.2025.116492","url":null,"abstract":"<div><div>Area-preserving nontwist maps locally violate the twist condition, giving rise to shearless curves. Nontwist systems appear in different physical contexts, such as plasma physics, climate physics, classical mechanics, etc. Generic properties of nontwist maps are captured by the standard nontwist map, which depends on a convection parameter <span><math><mi>a</mi></math></span> and a modulation coefficient <span><math><mi>b</mi></math></span>. In the spirit of non-autonomous systems, we consider the standard nontwist map (SNM) with a linearly increasing modulation coefficient, and we investigate the evolution of an ensemble of points on the phase space that initially lie on the shearless invariant curve in the initial state, called shearless snapshot torus. Differently from the SNM with constant parameters — where we can see different scenarios of collision/annihilation of periodic orbits leading to global transport, depending on the region in the parameter space — for the SNM with time-dependent parameters, the route to chaos is not only related to the path in the <span><math><mrow><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo></mrow></math></span> parameter space, but also to the scenario of the evolution of parameter <span><math><msub><mrow><mi>b</mi></mrow><mrow><mi>n</mi></mrow></msub></math></span>. In this work, we identify power-law relationships between key parameters for the chaotic transition and the iteration time. Additionally, we analyze system reversibility during the chaotic transition and demonstrate an extra transport, where parameter variation modifies the diffusion coefficient.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116492"},"PeriodicalIF":5.3,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947897","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
Nonlinear steady-state traveling solutions of the Kuramoto-Sivashinsky equation coupled with the linear dissipative equation 耦合线性耗散方程的Kuramoto-Sivashinsky方程的非线性稳态行解
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-14 DOI: 10.1016/j.chaos.2025.116572
Andrey A. Bocharov , Oleg Yu. Tsvelodub
{"title":"Nonlinear steady-state traveling solutions of the Kuramoto-Sivashinsky equation coupled with the linear dissipative equation","authors":"Andrey A. Bocharov ,&nbsp;Oleg Yu. Tsvelodub","doi":"10.1016/j.chaos.2025.116572","DOIUrl":"10.1016/j.chaos.2025.116572","url":null,"abstract":"<div><div>A generalization of the known active-dissipative Kuramoto-Sivashinsky equation coupled with a linear dissipative equation is considered. In such a model the region of zero solution instability is shown to depend in a complex way on the specific values of the problem parameters. The families of periodic nonlinear steady-state traveling solutions bifurcating from the zero solution in the vicinity of neutral wave numbers are constructed numerically. The investigation of the stability of these solutions enables obtaining new families that appear as a result of subsequent bifurcations. Among these families the ones that extend into the region of small wave numbers and turn into soliton solutions in the limit by the wave numbers are found among them. Various two-hump solitons are constructed. The research results on the stability of a soliton solution are presented.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116572"},"PeriodicalIF":5.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941302","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 behaviors of a reaction–diffusion competition system with road diffusion and nonlocal interaction
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-05-14 DOI: 10.1016/j.chaos.2025.116458
You Zhou , Yao Xu , Canrong Tian , Zhi Ling
{"title":"Dynamic behaviors of a reaction–diffusion competition system with road diffusion and nonlocal interaction","authors":"You Zhou ,&nbsp;Yao Xu ,&nbsp;Canrong Tian ,&nbsp;Zhi Ling","doi":"10.1016/j.chaos.2025.116458","DOIUrl":"10.1016/j.chaos.2025.116458","url":null,"abstract":"<div><div>We present a two-species competition system that incorporates road diffusion and non-local interactions, which describes a process of biological invasion. Using the modified comparison principle, we derive that the system possesses a unique global solution. We analyze the long-term behavior of the competing populations, that is, whether the invasion succeeds or fails. Our analysis reveals that in cases of weak–strong interaction between species, the weaker one tends to extinction, whereas the stronger one persists. In contrast, when the competition is characterized as weak-weak, both species are able to coexist simultaneously. Additionally, it is demonstrated that the invasion velocity exceeds the speed of traveling wave solutions when the road diffusion coefficient is sufficiently large.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116458"},"PeriodicalIF":5.3,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941300","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
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