Chaos Solitons & Fractals最新文献_第10页

The coordinate functions of the Heighway dragon curve 高架龙曲线的坐标函数

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-27 DOI: 10.1016/j.chaos.2025.117301

D.A. Caprio

引用次数: 0

Bifurcation analysis and chaotic dynamics of differential LC oscillators with a tail capacitor 带尾电容的微分振荡器的分岔分析与混沌动力学

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-27 DOI: 10.1016/j.chaos.2025.117227

Konstantinos Metaxas , Paul P. Sotiriadis , Yannis Kominis

引用次数: 0

Emergence of continuously varying critical exponents in coupled map lattice as an effect of quenched disorder 耦合映射晶格中出现连续变化的临界指数作为淬火无序的影响

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-27 DOI: 10.1016/j.chaos.2025.117253

Priyanka D. Bhoyar , Govindan Rangarajan , Prashant M. Gade

{"title":"Emergence of continuously varying critical exponents in coupled map lattice as an effect of quenched disorder","authors":"Priyanka D. Bhoyar , Govindan Rangarajan , Prashant M. Gade","doi":"10.1016/j.chaos.2025.117253","DOIUrl":"10.1016/j.chaos.2025.117253","url":null,"abstract":"<div><div>The transition to an absorbing phase in a spatiotemporal system is a well-investigated nonequilibrium dynamic transition. The absorbing phase transitions fall into a few universality classes, defined by the critical exponents observed at the critical point. We present a coupled map lattice (CML) model with quenched disorder in the couplings. In this model, spatial disorders are introduced in the form of asymmetric coupling with a larger coupling (<span><math><mi>p</mi></math></span>) to a neighbor on the right and a smaller coupling (<span><math><mrow><mn>1</mn><mo>−</mo><mi>p</mi></mrow></math></span>) to the neighbor on the left, for <span><math><mrow><mn>0</mn><mo>≤</mo><mi>p</mi><mo>≤</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></math></span>. For <span><math><mrow><mi>p</mi><mo>=</mo><mn>0</mn></mrow></math></span>, the system belongs to the directed percolation universality class. For <span><math><mrow><mi>p</mi><mo>></mo><mn>0</mn></mrow></math></span>, we observe continuously changing critical exponents at the critical point. The order parameter is the fraction of turbulent sites <span><math><mrow><mi>m</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span>. We observe a power-law decay, <span><math><mrow><mi>m</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>∼</mo><msup><mrow><mi>t</mi></mrow><mrow><mo>−</mo><mi>δ</mi></mrow></msup></mrow></math></span>, at the critical point <span><math><msub><mrow><mi>ϵ</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, where <span><math><mi>ϵ</mi></math></span> is the diffusive coupling parameter. These exponents change continuously and do not match any known universality class in any limit. This could be related to changes in the eigenvalue spectrum of the connectivity matrix as the disorder is introduced.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117253"},"PeriodicalIF":5.6,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156335","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

Strategy dependent time delays shape cooperation in the spatial prisoner’s dilemma game 空间囚徒困境博弈中策略依赖的时间延迟塑造了合作

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-26 DOI: 10.1016/j.chaos.2025.117255

Javad Mohamadichamgavi

{"title":"Strategy dependent time delays shape cooperation in the spatial prisoner’s dilemma game","authors":"Javad Mohamadichamgavi","doi":"10.1016/j.chaos.2025.117255","DOIUrl":"10.1016/j.chaos.2025.117255","url":null,"abstract":"<div><div>Understanding how temporal aspects of decision-making influence cooperation in structured populations is crucial for explaining the emergence of cooperative behavior in nature and society. While spatial reciprocity has long been known to support cooperation by allowing cooperators to form protective clusters, the role of time delays, particularly those dependent on strategy choice, remains underexplored. Here, we investigate the effects of strategy-dependent time delays on cooperation dynamics in the weak Prisoner’s Dilemma game on square lattices. Using Monte Carlo simulations, we show that time delays can profoundly alter cooperation levels and spatial patterns. Our results reveal that asymmetries in delays can induce transitions between full cooperation, coexistence, and full defection. Also we show that strategy-dependent delays primarily alter the clustering dynamics of cooperators, which in turn drives the changes in overall cooperation behavior. We further show that the type of Prisoner’s Dilemma (weak or standard) influences only the quantitative level of cooperation, while the qualitative effect of delays remains unchanged.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117255"},"PeriodicalIF":5.6,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156327","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

Infinite-tori intermittency routes to strange nonchaotic attractors in a quasiperiodically forced piecewise-smooth system 准周期强迫分段光滑系统中奇异非混沌吸引子的无限环面间歇路径

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-26 DOI: 10.1016/j.chaos.2025.117306

Yunzhu Shen, Miao Yu, Yongxiang Zhang

引用次数: 0

Dynamics of a diffusion-advection model with local perception of toxins 具有毒素局部感知的扩散-平流模式动力学

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-26 DOI: 10.1016/j.chaos.2025.117259

Xuebing Zhang, Bin Wu

{"title":"Dynamics of a diffusion-advection model with local perception of toxins","authors":"Xuebing Zhang, Bin Wu","doi":"10.1016/j.chaos.2025.117259","DOIUrl":"10.1016/j.chaos.2025.117259","url":null,"abstract":"<div><div>Spatial memory plays a critical role in animal movement modeling, yet explicitly modeling the learning processes underlying memory acquisition remains a significant challenge. This study focuses on the dynamics of a two-species model in a toxic environment, where both species are assumed to have a perceptual ability to sense toxins and actively avoid areas with high toxin concentrations to increase their survival chances. The models consist of three PDEs in composition with one ODE and the existence of globally bounded solutions is established in two dimensions by employing advanced coupled energy estimates and the smoothing properties of the Neumann semigroup. We then conduct a spectral analysis of the model and determine the stability of the steady-state solutions by analyzing the corresponding eigenvalue problems. Subsequently, we perform bifurcation analysis using spatial memory decay rate and perceptual diffusion rate as bifurcation parameters. The study reveals that both steady-state and Hopf bifurcations can occur in these systems, with bifurcation points identified to delineate stability regions. Moreover, these systems are capable of generating rich spatial and spatiotemporal patterns through various types of bifurcations. Our work introduces a novel approach for addressing hybrid PDE-ODE models and provides deeper insights into the cognitive movement-driven dynamics of consumer-resource interactions. This framework enhances the understanding of species behavior in response to environmental toxins and offers new perspectives on ecological stability and pattern formation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117259"},"PeriodicalIF":5.6,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156324","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

Modified quintic trigonometric B-spline differential quadrature method for the improved Boussinesq equation 改进Boussinesq方程的改进五次三角b样条微分求积分法

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-26 DOI: 10.1016/j.chaos.2025.117258

Jiawen Deng , Shahid Hussain , Kaysar Rahman

引用次数: 0

Dynamical analysis of Jacobian elliptic function soliton solutions, and chaotic behavior with defective tools of the stochastic PNLSE equation with multiplicative white noise 带乘性白噪声的随机PNLSE方程雅可比椭圆函数孤子解的动力学分析及有缺陷工具的混沌行为

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-26 DOI: 10.1016/j.chaos.2025.117288

Md. Mamunur Roshid , Mohamed Abdalla , M.S. Osman

{"title":"Dynamical analysis of Jacobian elliptic function soliton solutions, and chaotic behavior with defective tools of the stochastic PNLSE equation with multiplicative white noise","authors":"Md. Mamunur Roshid , Mohamed Abdalla , M.S. Osman","doi":"10.1016/j.chaos.2025.117288","DOIUrl":"10.1016/j.chaos.2025.117288","url":null,"abstract":"<div><div>This manuscript presents an exclusive study on the stochastic perturbed nonlinear Schrödinger equation (SPNLSE) to check the wave propagation of light in nonlinear optical fibers. Firstly, the stochastic perturbed nonlinear Schrödinger equation is converted into a planar dynamic system using a wave transformation variable and a Galilean transformation. Secondly, the chaotic nature, super-periodicity, strange attractor, fractal dimension, and return map are analyzed using a frequency and trigonometric perturbation term. Additionally, the optical soliton solutions of the proposed model are constructed using a new Jacobian elliptic function method. The solutions encompass all trigonometric and hyperbolic functions. Using suitable values for the free parameters, the bright bell shape, dark bell shape, periodic wave, and M-shape soliton solution are illustrated through three-dimensional (3D), two-dimensional (pathline) profiles and also analyse the dynamic properties of the derived solutions. The influence of the multiplicative noise intensity is also presented for diverse values of <span><math><mi>ρ</mi></math></span>. This method demonstrates how well graphical simulations work to show how these solutions behave and interact in practical settings. The result of the comparison demonstrates that the multiplicative noise has a great influence on the obtained solutions. Additionally, the numerical stability of the obtained soliton solutions is checked by the Hamiltonian method. The obtained solutions of the proposed model are very important for figuring out how stable optical solitons are, how noise causes jitter, and how signals degrade in fiber-optic communications and nonlinear photonic systems. The multiplicative noise term is very important since it scales with the signal itself, which causes phase and amplitude noise to be associated. This can affect long-haul transmission and ultrafast pulse dynamics.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117288"},"PeriodicalIF":5.6,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145155904","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

Impact of the combined effect of synaptic weight and electromagnetic radiation on the dynamical behaviors of a Rulkov neuron: Theoretical investigations and microcontroller-based experiment 突触权重和电磁辐射对Rulkov神经元动力学行为的影响：理论研究和基于微控制器的实验

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-26 DOI: 10.1016/j.chaos.2025.117291

Victor Kamdoum Tamba , Junior Tchiaze Tofou , Viet-Thanh Pham , Giuseppe Grassi

{"title":"Impact of the combined effect of synaptic weight and electromagnetic radiation on the dynamical behaviors of a Rulkov neuron: Theoretical investigations and microcontroller-based experiment","authors":"Victor Kamdoum Tamba , Junior Tchiaze Tofou , Viet-Thanh Pham , Giuseppe Grassi","doi":"10.1016/j.chaos.2025.117291","DOIUrl":"10.1016/j.chaos.2025.117291","url":null,"abstract":"<div><div>The neural network of a biological brain is made up of billions of neurons interconnected to each other through their dendrites and synapses. Using their synapses, these neurons communicate or transmit information by emitting electrical impulses. This makes it very necessary for us to consider both the complex electromagnetic environments present in the brain, and the synaptic behavior of the biological neurons while simulating and studying brain functions. With the aim of studying the combined effects of these two phenomena on an improved Rulkov neuron, this work makes use of non-polynomial memristor to simulate and investigate the synaptic behavior of an improved Rulkov neuron under electromagnetic radiation. The investigations carried out shows that the studied model undergoes both stable and unstable dynamics depending on the system parameters. This is further consolidated by numerical analyses from which the synaptic weight Rulkov neuron exposed to electromagnetic radiation shows rich and interesting dynamics such as self-excited and hidden attractors, which evolve from periodic to irregular motions, bubble-like bifurcation and offset boosting features. Finally, physical findings obtained with the help of breadboard microcontroller-based experiment confirm the validity of the numerical simulations results.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117291"},"PeriodicalIF":5.6,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156334","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

Modulational instability of Bose–Einstein condensates with inter-spin–orbit coupling in deep optical lattice 深光学晶格中自旋-轨道耦合玻色-爱因斯坦凝聚体的调制不稳定性

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-26 DOI: 10.1016/j.chaos.2025.117275

R. Sasireka , S. Sabari , A. Uthayakumar , Lauro Tomio

{"title":"Modulational instability of Bose–Einstein condensates with inter-spin–orbit coupling in deep optical lattice","authors":"R. Sasireka , S. Sabari , A. Uthayakumar , Lauro Tomio","doi":"10.1016/j.chaos.2025.117275","DOIUrl":"10.1016/j.chaos.2025.117275","url":null,"abstract":"<div><div>We present a comprehensive study of modulational instability (MI) in a binary Bose–Einstein condensate with spin–orbit coupling, confined to a deep optical lattice. The system is modeled by a set of discrete Gross–Pitaevskii equations. Using linear stability analysis, we derive the explicit MI conditions for the system, elucidating the critical and distinct roles played by spin–orbit coupling, inter-species nonlinearity, and intra-species nonlinearity. Our analysis, conducted for both unstaggered and staggered fundamental modes, reveals markedly different instability landscapes for these two configurations. The analytical predictions are confirmed by extensive numerical simulations of the full nonlinear dynamics, which vividly illustrate the spatiotemporal evolution of wave amplitudes, phase coherence, and energy localization during the instability process. The numerical results, obtained via a fourth-order Runge–Kutta method, show excellent agreement with the linear stability theory and provide a complete picture of the MI-induced pattern formation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117275"},"PeriodicalIF":5.6,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156333","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