Qaisar Khan , Ibrahim Aldayel , Meraj Ali Khan , Majid Khan
{"title":"Photonic spin Hall shift at four level gain-assisted dielectric medium","authors":"Qaisar Khan , Ibrahim Aldayel , Meraj Ali Khan , Majid Khan","doi":"10.1016/j.chaos.2025.116553","DOIUrl":"10.1016/j.chaos.2025.116553","url":null,"abstract":"<div><div>The theoretical analysis of photonic spin Hall shift is investigated in gain-assisted four-level N-type dielectric atomic medium. The probe light interacts with a cavity filled with a four-level gain assisted atomic medium. The photonic spin shift tuned to positive and negative value at driving fields parameters. The high value of the photonic spin shift varies in the range of <span><math><mrow><mo>±</mo><mn>60</mn><mi>λ</mi><mo>≤</mo><msubsup><mrow><mi>δ</mi></mrow><mrow><mi>p</mi></mrow><mrow><mi>L</mi><mo>,</mo><mi>R</mi></mrow></msubsup><mo>≤</mo><mo>±</mo><mn>100</mn><mi>λ</mi></mrow></math></span> with the detuning of probe field, while the minimum value of the photonic spin shift varies in the range <span><math><mrow><mo>±</mo><mn>3</mn><mi>λ</mi><mo>≤</mo><msubsup><mrow><mi>δ</mi></mrow><mrow><mi>p</mi></mrow><mrow><mi>L</mi><mo>,</mo><mi>R</mi></mrow></msubsup><mo>≤</mo><mo>±</mo><mn>10</mn><mi>λ</mi></mrow></math></span> with Rabi frequency of the control field. The reported results have useful applications including sensing technology, spintronics, magnetic memory, quantum computing and optical communication.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116553"},"PeriodicalIF":5.3,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144071234","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}
{"title":"Controlling second-order rogue matter wave and line bright soliton dynamics in 2D Bose–Einstein Condensate with higher-order interactions and gain/loss atoms","authors":"Cyrille Edgard Nkenfack , Olivier Tiokeng Lekeufack , Subramaniyan Sabari , Rene Yamapi , Timoleon Crepin Kofane","doi":"10.1016/j.chaos.2025.116534","DOIUrl":"10.1016/j.chaos.2025.116534","url":null,"abstract":"<div><div>We investigate the two-dimensional modified Gross–Pitaevskii equation, accounting for the effects of atom gain/loss and a time-independent isotropic confining potential, utilizing the Hirota’s bilinear method. Through an appropriate bilinear form, we derive exact one-soliton and multi-soliton solutions. These solutions showcase two prominent phenomena: the second-order rogue matter wave with spatio-temporal localization, and the line soliton with double spatial localization. We demonstrate the feasibility of controlling the soliton amplitude and the effects of gain/loss resulting in areas of collapse by suitably tuning the coefficient of higher-order interactions in the Bose–Einstein condensate. Additionally, by exploring the interaction dynamics of the multi-soliton solutions, we identify elastic-type interactions, claiming the intrinsic properties of solitons. The influence of higher-order interactions and gain/loss terms on the interaction dynamics is also thoroughly analyzed. These analyses demonstrate that, within the framework of Bose–Einstein condensates described by the two-dimensional modified Gross–Pitaevskii equation, higher-order interactions provide a means to control the properties of the generated rogue matter waves. Intensive numerical simulations are performed and their convergence with theoretical predicted results then throw light about the emergent features of the chosen solutions. The exact analytical solutions derived in this study rigorously satisfy the original equation, which ensures their consistency with the numerical results and confirms their accuracy. Thus, our findings hold promise for potential future applications.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116534"},"PeriodicalIF":5.3,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144071233","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}
{"title":"Stochastic dynamics of hysteresis systems under harmonic and Poisson excitations","authors":"Zi Yuan , Lincong Chen , Jian-Qiao Sun","doi":"10.1016/j.chaos.2025.116540","DOIUrl":"10.1016/j.chaos.2025.116540","url":null,"abstract":"<div><div>Hysteresis, a common nonlinear phenomenon in engineering structures, has been extensively studied. However, the nonlinear behavior of hysteretic systems under combined deterministic and random excitations remains insufficiently explored. This paper investigates the stochastic response and P-bifurcation of hysteretic systems under harmonic and Poisson white noise excitations. The generalized Fokker–Planck–Kolmogorov (GFPK) equation governing the probability density function (PDF) of the system is solved using a radial basis function neural network (RBFNN) method. Specifically, the trial solution of the GFPK equation is represented by a set of standard Gaussian functions. The loss function incorporates both the residual of the GFPK equation and a normalization constraint. Optimization of the weighting coefficients is transformed into solving a system of algebraic equations, which significantly accelerates the training process. The resulting PDF solutions are used to reveal stochastic P-bifurcation phenomena in both Bouc–Wen and integrable Duhem hysteretic systems. Bifurcation shifts are observed as the random excitation transitions from Poisson to Gaussian noise. The proposed approach is validated by close agreement with Monte Carlo simulation (MCS) results, demonstrating its effectiveness for analyzing complex stochastic dynamics under combined harmonic and non-Gaussian excitations.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116540"},"PeriodicalIF":5.3,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067209","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}
T. Zolkin , S. Nagaitsev , I. Morozov , S. Kladov , Y.-K. Kim
{"title":"Isochronous and period-doubling diagrams for symplectic maps of the plane","authors":"T. Zolkin , S. Nagaitsev , I. Morozov , S. Kladov , Y.-K. Kim","doi":"10.1016/j.chaos.2025.116513","DOIUrl":"10.1016/j.chaos.2025.116513","url":null,"abstract":"<div><div>Symplectic mappings of the plane serve as key models for exploring the fundamental nature of complex behavior in nonlinear systems. Central to this exploration is the effective visualization of stability regimes, which enables the interpretation of how systems evolve under varying conditions. While the area-preserving quadratic Hénon map has received significant theoretical attention, a comprehensive description of its mixed parameter-space dynamics remain lacking. This limitation arises from early attempts to reduce the full two-dimensional phase space to a one-dimensional projection, a simplification that resulted in the loss of important dynamical features. Consequently, there is a clear need for a more thorough understanding of the underlying qualitative aspects.</div><div>This paper aims to address this gap by revisiting the foundational concepts of reversibility and associated symmetries, first explored in the early works of G.D. Birkhoff. We extend the original framework proposed by Hénon by adding a period-doubling diagram to his isochronous diagram, which allows to represents the system’s bifurcations and the groups of symmetric periodic orbits that emerge in typical bifurcations of the fixed point. A qualitative and quantitative explanation of the main features of the region of parameters with bounded motion is provided, along with the application of this technique to other symplectic mappings, including cases of multiple reversibility. Modern chaos indicators, such as the Reversibility Error Method (REM) and the Generalized Alignment Index (GALI), are employed to distinguish between various dynamical regimes in the mixed space of variables and parameters. These tools prove effective in differentiating regular and chaotic dynamics, as well as in identifying twistless orbits and their associated bifurcations. Additionally, we discuss the application of these methods to real-world problems, such as visualizing dynamic aperture in accelerator physics, where our findings have direct relevance.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116513"},"PeriodicalIF":5.3,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067187","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}
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 , Ruijia You , Jiayuan Cao , Song Su , Chun Yang , 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}
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 , Sumanta Shagolshem , 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}
{"title":"Self-organizing states of swarmalator collectives with phase lag","authors":"Rakshita Sharma , Akash Yadav , V.K. Chandrasekar , 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}
{"title":"The evolutionary fairness dynamics on multiplex networks with information reliability and time delays","authors":"Yang Wang , Xinlong Li , Jing Yao , 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}
Laura P. Schaposnik , Sheryl Hsu , Robin I.M. Dunbar
{"title":"Modeling social cohesion with coupled oscillators: Synchrony and fragmentation","authors":"Laura P. Schaposnik , Sheryl Hsu , 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}