Chaos Solitons & Fractals最新文献_第9页

Tunable optical bottles and needle-like focuses of elliptical swallowtail beams 椭圆燕尾光束的可调谐光学瓶和针状焦点

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-29 DOI: 10.1016/j.chaos.2025.117278

Yujie Wu , Zijing Zhang , Zhenhang Xu , Jie Liu , Man Tao , Binyu Wu , Zhuoyue Sun , Zan Zhang , Zihan Liu , Chuhong Zhuang , Weiting Wang , Hongwei Gong , Xiang Zhou , Dongmei Deng

{"title":"Tunable optical bottles and needle-like focuses of elliptical swallowtail beams","authors":"Yujie Wu , Zijing Zhang , Zhenhang Xu , Jie Liu , Man Tao , Binyu Wu , Zhuoyue Sun , Zan Zhang , Zihan Liu , Chuhong Zhuang , Weiting Wang , Hongwei Gong , Xiang Zhou , Dongmei Deng","doi":"10.1016/j.chaos.2025.117278","DOIUrl":"10.1016/j.chaos.2025.117278","url":null,"abstract":"<div><div>In this study, we break away from the conventional circular symmetric framework by proposing the elliptical Swallowtail beam (ESB), whose elliptical symmetry gives rise to a series of distinctive features. Notably, the ESB exhibits spontaneous dual-focusing behavior. Leveraging this property, we demonstrate that simply introducing a second-order chirp factor enables the generation of highly tunable optical bottles with adjustable numbers, lengths, and cross-sectional areas. Furthermore, needle-like focal spots form at the bottle openings, with their size and orientation precisely controllable. Optical tweezers experiments confirm the practical utility of the ESB: the needle-like focuses allow linear manipulation of silica particles, while the optical bottles stably trap mesocarbon particles in air. With its unique intrinsic properties and excellent tunability, the ESB paves the way for the design of advanced optical tweezers and versatile optical manipulation schemes.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117278"},"PeriodicalIF":5.6,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145217988","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

A new discrete fractional AMAR model for finance time series forecasting by machine learning 基于机器学习的金融时间序列预测新离散分数AMAR模型

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-28 DOI: 10.1016/j.chaos.2025.117296

Xin-Yi Xu, Guo-Cheng Wu, Derong Xie

引用次数: 0

Suppression mechanism of vortex-induced vibrations using non-linear energy sink with inerter based mechanical networks 基于惯性网络的非线性能量阱抑制涡激振动的机理

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-28 DOI: 10.1016/j.chaos.2025.117246

K.Devarajan , Fenq Qian , Lei Zuo

{"title":"Suppression mechanism of vortex-induced vibrations using non-linear energy sink with inerter based mechanical networks","authors":"K.Devarajan , Fenq Qian , Lei Zuo","doi":"10.1016/j.chaos.2025.117246","DOIUrl":"10.1016/j.chaos.2025.117246","url":null,"abstract":"<div><div>This study presents a detailed analytical and numerical investigation into the suppression of vortex-induced vibrations (VIV) in circular cylinders using an inerter-based nonlinear energy sink (INES). The INES system, developed by integrating inerter-based mechanical networks into a conventional nonlinear energy sink, is evaluated for its ability to mitigate high-amplitude oscillations in circular cylinder resulting from fluid–structure interactions. The coupled dynamics are modeled using a Van der Pol oscillator to represent wake effects, along with a primary structure subjected to cross-flow excitation. Analytical techniques like the Complexification-Averaging (CX-A) method are used to derive the slow-flow equations and develop the Slow Invariant Manifold (SIM). This approach helps reveal strongly modulated responses (SMRs) and provides insight into the underlying energy transfer processes. Results reveal that the INES facilitates targeted energy transfer (TET), efficiently reducing structural vibrations compared to conventional NES systems. Parametric studies identify optimal ranges for mass ratio, non-dimensional stiffness and damping ratio, and inertance values for effective VIV control. The findings underscore the potential of INES as a passive yet highly effective vibration control strategy for fluid-excited structures.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117246"},"PeriodicalIF":5.6,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145217995","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

Vortex and corner solitons in Stampfli-tiling dodecagonal quasiperiodic lattices stampfli -平铺十二角拟周期格中的涡孤子和角孤子

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-28 DOI: 10.1016/j.chaos.2025.117285

Boquan Ren , Yongfeng Qu , Milivoj R. Belić , Yongdong Li , Yiqi Zhang

{"title":"Vortex and corner solitons in Stampfli-tiling dodecagonal quasiperiodic lattices","authors":"Boquan Ren , Yongfeng Qu , Milivoj R. Belić , Yongdong Li , Yiqi Zhang","doi":"10.1016/j.chaos.2025.117285","DOIUrl":"10.1016/j.chaos.2025.117285","url":null,"abstract":"<div><div>Quasicrystals are ubiquitous materials that lack translational symmetry but exhibit rotational symmetry. Past studies have demonstrated that quasicrystals offer a promising platform for vortex generation and topological phase transitions. To date, explorations of quasicrystals are diverse, owing to their abundant structures and fascinating properties. Here, we report the existence and stability of thresholdless vortex and corner solitons in Stampfli-tiled dodecagonal quasiperiodic lattices. Theoretical analysis shows that both types of solitons bifurcate from their linear counterparts. Their propagation constants, confined within the bandgap, along with distinct localization characteristics, can be effectively tuned by adjusting the power. According to linear stability analysis and numerical simulations, both vortex and corner solitons exhibit complete stability across their entire existence domains under self-defocusing nonlinearity. By contrast, vortex solitons are stable only at low power levels, while corner solitons display universal instability under self-focusing conditions. These findings provide novel theoretical insights into the behavior of nonlinear waves in quasiperiodic lattices and hold potential for optical information processing and integrated photonic device design.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117285"},"PeriodicalIF":5.6,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145217878","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

Synchronisation of clusters around brain hubs promotes multiscale phase oscillations in the human connectome 大脑中枢周围的集群同步促进了人类连接组的多尺度相位振荡

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-27 DOI: 10.1016/j.chaos.2025.117261

Bosiljka Tadić , Marija Mitrović Dankulov , Roderick Melnik

{"title":"Synchronisation of clusters around brain hubs promotes multiscale phase oscillations in the human connectome","authors":"Bosiljka Tadić , Marija Mitrović Dankulov , Roderick Melnik","doi":"10.1016/j.chaos.2025.117261","DOIUrl":"10.1016/j.chaos.2025.117261","url":null,"abstract":"<div><div>Brain imaging data mapping onto human connectome networks enables the investigation of global brain dynamics, where the central brain regions known as brain hubs play an essential role in transferring activity between different brain parts. At this scale, the synchronisation processes are increasingly investigated as one of the key mechanisms revealing many aspects of brain functional coherence in healthy brains and revealing deviations due to various brain disorders. For the human connectome core network, consisting of the eight brain hubs and the higher-order structure attached to them, previous simulations of Kuramoto phase oscillators at network nodes indicate instability of the global order parameter for a range of positive coupling strengths. Focusing on this range of couplings, here we investigate the occurrence of the cluster synchronisation phenomenon in the human connectome core network and its manifestation in the multiscale temporal oscillations of the global phase order parameter. We use the spectral graph analysis and eigenvector localisation methodology, where the clusters of nodes playing a similar role in the synchronisation processes are identified via a small mutual distance in the eigenvector space. We determine three significant clusters of brain regions and show the position of hubs in them. With the parallel analysis of the weighted core network and its binary version, we demonstrate the primary role of the network’s topology in the formation of synchronised clusters. Meanwhile, the weights of edges contribute to the hub’s synchronisation with the surrounding cluster, stabilise the order parameter variations and reduce the multifractal spectrum.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117261"},"PeriodicalIF":5.6,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156328","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

Reducing polarization in social networks with adversarial opinion perturbations 通过对抗性意见干扰减少社会网络的两极分化

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-27 DOI: 10.1016/j.chaos.2025.117294

Lan Zhang , Lulu Gong , Changwei Huang

{"title":"Reducing polarization in social networks with adversarial opinion perturbations","authors":"Lan Zhang , Lulu Gong , Changwei Huang","doi":"10.1016/j.chaos.2025.117294","DOIUrl":"10.1016/j.chaos.2025.117294","url":null,"abstract":"<div><div>The influence of perturbations on the evolution of opinions is a significant topic in complex systems and sociophysics. Previous studies have suggested that perturbations can alter opinion distributions, either promoting or inhibiting consensus formation. In this paper, we propose a model that integrates complex network topology and adversarial perturbations to simulate social opinion dynamics. Four main parameters are considered: social sensitivity, homophily, perturbation intensity, and network-connection probability. Our numerical simulations show that three primary patterns of collective opinion can emerge: consensus, radicalization, and polarization. Higher social sensitivity strengthens the radicalization and polarization states, while stronger homophily leads to more polarized opinions. Increased connection probability intensifies polarization by increasing network connectivity; however, adversarial perturbations reduce the prevalence of radicalization and polarization states, with stronger perturbations producing greater reductions. We employ microscopic evolutionary analysis to explain this pattern. These findings point to the important role of network structure and adversarial perturbations in reducing extreme states, offering theoretical insights for addressing societal polarization.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117294"},"PeriodicalIF":5.6,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145181295","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

Feature inheritance in tree-type maps: Achieving extreme multistability and high-complexity dynamics 树型映射中的特征继承：实现极端的多稳定性和高复杂性动态

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-27 DOI: 10.1016/j.chaos.2025.117283

Qiao Wang , Zean Tian , Xianming Wu , Haiwei Sang , Xiong Yu , Zongyun Yang , Huaigu Tian

{"title":"Feature inheritance in tree-type maps: Achieving extreme multistability and high-complexity dynamics","authors":"Qiao Wang , Zean Tian , Xianming Wu , Haiwei Sang , Xiong Yu , Zongyun Yang , Huaigu Tian","doi":"10.1016/j.chaos.2025.117283","DOIUrl":"10.1016/j.chaos.2025.117283","url":null,"abstract":"<div><div>Existing methods for constructing chaotic systems struggle to balance dynamic complexity, feature controllability, and structural scalability, which limits the actual performance. This paper proposes two types of tree-type maps: CPCTM (Cascade-Parallel Coupling Tree-type Map) and PCCTM (Parameter-Controlled Coupling Tree-type Map). Their core innovation lies in their hierarchical tree structure. CPCTM boosts feature inheritance and complexity by leveraging the multi-level cascading-parallel coupling of seed maps, while PCCTM utilizes memristor outputs as control parameters to dynamically regulate system dynamics. Theoretical analysis demonstrates that both maps inherit the initial-boosted extreme multistability of the seed maps and exhibit inherent 2<span><math><mi>π</mi></math></span> periodicity. Performance evaluations verify that the proposed maps outperform existing models in spectral entropy, C<span><math><msub><mrow></mrow><mrow><mn>0</mn></mrow></msub></math></span> complexity, and overall performance. Hardware experiments conducted on STM32 platform validate the numerical simulations. Moreover, pseudo-random sequences generated by these maps pass the NIST SP800-22 test suite, confirming their reliability for cryptographic applications.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117283"},"PeriodicalIF":5.6,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145181297","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 impact of time-weighted historical payoffs on evolution dynamics of strategies 时间加权历史收益对策略演化动力学的影响

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-27 DOI: 10.1016/j.chaos.2025.117236

Yanyan Han , Minlan Li , Xuemeng Song , Jia-Xu Han , Feng Zhang , Rui-Wu Wang

{"title":"The impact of time-weighted historical payoffs on evolution dynamics of strategies","authors":"Yanyan Han , Minlan Li , Xuemeng Song , Jia-Xu Han , Feng Zhang , Rui-Wu Wang","doi":"10.1016/j.chaos.2025.117236","DOIUrl":"10.1016/j.chaos.2025.117236","url":null,"abstract":"<div><div>Evolutionary game theory often oversimplifies fitness by equating it with immediate payoffs. This approach neglects biological realities, such as historical payoffs, resource storage, and metabolic transformation. This study addresses this gap by proposing a novel time-weighted fitness framework. This framework integrates these processes through a three-level structure: resource acquisition, cumulative fitness, and instantaneous fitness. This framework incorporates a maximum storable resource amount and three time-weighted modes (equal, decreasing, increasing) to simulate diverse life-history strategies. Analytical and numerical results reveal that time-weighted resource metabolism generates evolutionary dynamics inaccessible to the classical model. Decreasing time-weighting prioritizes early resource gains. This mode can induce persistent oscillations in strategy frequencies and strong path dependence, which aligns with capital breeding strategies. Increasing time-weighting, which amplifies recent resource gains, intensifies selection pressure over time, corresponding to terminal sprint strategies like pre-dormancy hyperphagia. When resources saturate, all dynamics revert to classical forms, signaling a strategic shift from capital accumulation to income competition. This work unifies historical contingency with instantaneous selection. It offers a mechanistic theory for interpreting diverse ecological patterns, from population cycles to life-history transitions.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117236"},"PeriodicalIF":5.6,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145181298","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 impact of environment-based heterogeneous bounded confidence on opinion dynamics 基于环境的异质有界信心对意见动态的影响

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-09-27 DOI: 10.1016/j.chaos.2025.117293

Lan Zhang , Shun Gao

{"title":"The impact of environment-based heterogeneous bounded confidence on opinion dynamics","authors":"Lan Zhang , Shun Gao","doi":"10.1016/j.chaos.2025.117293","DOIUrl":"10.1016/j.chaos.2025.117293","url":null,"abstract":"<div><div>In the bounded confidence model of opinion dynamics, agents only consider opinion interaction when the difference between their opinions is smaller than the bounded confidence. It is commonly assumed in previous studies that individuals possess homogeneous bounded confidence. However, in real life, agents in different environments may have different bounded confidences. This paper proposes a ring-based model that links the bounded confidences of agents to their local order parameters by introducing parameters <span><math><mi>α</mi></math></span> and <span><math><mi>ϵ</mi></math></span> to modulate their functional relationship, where <span><math><mi>α</mi></math></span> controls the social attitudes of individuals in the population and <span><math><mi>ϵ</mi></math></span> represents the maximum allowed bounded confidence. The results indicate that smaller values of <span><math><mi>α</mi></math></span> promote a higher probability of consensus in the system. By examining the evolution of agents’ local order parameters and bounded confidences from a microscopic perspective, we explain how <span><math><mi>α</mi></math></span> influences opinion dynamics. Subsequently, we investigate opinion evolution under different degrees for each agent and find that, although parameter selection affects the final outcome to some extent, an optimal degree generally exists that maximizes the system’s consensus probability. Finally, we discuss the impact of the parameter <span><math><mi>ϵ</mi></math></span> on opinion dynamics, revealing that for larger values of <span><math><mi>α</mi></math></span>, there exists an optimal <span><math><mi>ϵ</mi></math></span> that maximizes the probability of consensus.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 ","pages":"Article 117293"},"PeriodicalIF":5.6,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145181296","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 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