Chaos Solitons & Fractals最新文献_第5页

Isochronous and period-doubling diagrams for symplectic maps of the plane 平面辛映射的等时和倍周期图

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-05-16 DOI: 10.1016/j.chaos.2025.116513

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}

引用次数: 0

Particle separation using surface acoustic waves based on microfluidic chip 基于微流控芯片的表面声波颗粒分离

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-05-16 DOI: 10.1016/j.chaos.2025.116557

Wenbo Han, Hongyuan Zou, Haoyu Yue, Yuhang Zhong, Wei Li, Cunyou Zhang, Hongpeng Zhang

{"title":"Particle separation using surface acoustic waves based on microfluidic chip","authors":"Wenbo Han, Hongyuan Zou, Haoyu Yue, Yuhang Zhong, Wei Li, Cunyou Zhang, Hongpeng Zhang","doi":"10.1016/j.chaos.2025.116557","DOIUrl":"10.1016/j.chaos.2025.116557","url":null,"abstract":"<div><div>Surface acoustic wave (SAW)-based microfluidic particle separation offers exceptional biocompatibility and precision for biological applications. This study establishes a multiphysics coupling model integrating piezoelectric dynamics, acoustic-structural interactions, and fluid-particle mechanics to optimize SAW separator design. Systematic analysis of interdigital transducer geometry and flow-acoustic coupling reveals that electrode width governs acoustic wavelength distribution, with 50 μm electrodes achieving optimal pressure gradients. Increasing electrode pairs (N = 5) enhances acoustic pressure inversion, while applied voltage (20 V) proportionally amplifies radiation forces. Notably, channel height exhibits negligible impact on the acoustic field. The optimized device achieves efficient separation of 5–15 μm particles through synergistic flow focusing and acoustic node alignment. This work provides a systematic framework for high-purity biological particle separation, advancing SAW-based microfluidics in diagnostics and cellular analysis.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"198 ","pages":"Article 116557"},"PeriodicalIF":5.3,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067208","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

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 , 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}

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 , 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}

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

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 , 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}

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

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

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 , Maoning Tang , 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 , Iberê L. Caldas , 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