Chaos Solitons & Fractals最新文献_第4页

Effects of network structure and node dynamics on synchronization with time delays

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-16 DOI: 10.1016/j.chaos.2025.116449

Yong Wu, Ying Xie, Weifang Huang, Ya Jia, Zhiqiu Ye, Qianming Ding

{"title":"Effects of network structure and node dynamics on synchronization with time delays","authors":"Yong Wu, Ying Xie, Weifang Huang, Ya Jia, Zhiqiu Ye, Qianming Ding","doi":"10.1016/j.chaos.2025.116449","DOIUrl":"10.1016/j.chaos.2025.116449","url":null,"abstract":"<div><div>The synchronization behavior of neuronal networks is central to the functionality of the nervous system and is influenced by factors such as network topology, node dynamics, and time delays. This study investigates the impact of time delays on the synchronization behavior of chemically synaptic coupled neuronal networks, with a focus on analyzing changes in synchronization stability under different time delays and their underlying mechanisms. Through master stability function (MSF) analysis, we found that only networks with homogeneous degrees possess the same synchronization manifold, and can achieve stable synchronization under appropriate time delays. Numerical simulation results indicate that heterogeneous networks can also synchronize under suitable delays. By combining phase response curve (PRC) analysis with node dynamics, we revealed that different phase stimuli lead to variations in the firing periods of nodes in the network, and these periods changes are key to whether the network can synchronize under time delay. The comparison between neuronal firing characteristics and PRC values further confirmed this conclusion. These findings provide theoretical support for understanding the synchronization mechanisms in neural networks and offer new insights into synchronization disorders in neurological diseases.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116449"},"PeriodicalIF":5.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834436","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

Chaos bandwidth enhancement using cascade intensity-modulated optical injection

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-16 DOI: 10.1016/j.chaos.2025.116405

Ye Fan , Qiang Cai , Jianguo Zhang , Pu Li , K. Alan Shore , Yuwen Qin , Yuncai Wang

引用次数: 0

Effective and efficient identifying influential nodes in large scale networks by structural entropy

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-16 DOI: 10.1016/j.chaos.2025.116411

Yuxin Huang, Chunping Li, Yan Xiang, Yantuan Xian, Pu Li, Zhengtao Yu

{"title":"Effective and efficient identifying influential nodes in large scale networks by structural entropy","authors":"Yuxin Huang, Chunping Li, Yan Xiang, Yantuan Xian, Pu Li, Zhengtao Yu","doi":"10.1016/j.chaos.2025.116411","DOIUrl":"10.1016/j.chaos.2025.116411","url":null,"abstract":"<div><div>Identifying influential nodes in large-scale networks is a pivotal challenge in network analysis. Traditional node identification methods, such as those based on node degree, primarily emphasize local neighbors without considering a node’s global importance within the network. Conversely, global feature-based methods like betweenness centrality (BC) are computationally prohibitive for large-scale networks. To address these limitations, we propose a novel community-level node influence calculation method grounded in structural entropy. This approach integrates both local significance within a community and global influence across communities. The method begins by employing community detection algorithms to cluster closely related nodes into communities. Subsequently, node influence is quantified by analyzing changes in structural entropy resulting from a node’s departure from its community and its integration into an adjacent community. Experimental evaluations on eleven real-world networks demonstrate that our method reduces the computational time for influential node identification by a factor of 76 compared to BC and other conventional approaches. Furthermore, in a network comprising seventy thousand nodes, our method enhances network efficiency by 20% relative to the LE method, underscoring its efficiency and effectiveness.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116411"},"PeriodicalIF":5.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834434","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

Three-dimensional solitons in Rydberg-dressed Bose–Einstein condensates with spin–orbit coupling and a radially periodic potential

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-16 DOI: 10.1016/j.chaos.2025.116416

Dong Zhao , Qihong Huang , Shulei Gao , Hongyan Yang , Di Wu , Boris A. Malomed , Li Xue , Siliu Xu

{"title":"Three-dimensional solitons in Rydberg-dressed Bose–Einstein condensates with spin–orbit coupling and a radially periodic potential","authors":"Dong Zhao , Qihong Huang , Shulei Gao , Hongyan Yang , Di Wu , Boris A. Malomed , Li Xue , Siliu Xu","doi":"10.1016/j.chaos.2025.116416","DOIUrl":"10.1016/j.chaos.2025.116416","url":null,"abstract":"<div><div>We propose a model of three-dimensional (3D) Rydberg-dressed spinor (two-component) Bose–Einstein condensates (BECs), with the spin–orbit coupling (SOC) and an axisymmetric radially periodic potential. It produces various species of stable 3D solitons with different vorticities in its two components. The shape and stability of the soliton are determined by the system’s control parameters: the SOC strength (<span><math><mi>λ</mi></math></span>), coefficients of the contact and Rydberg–Rydberg interactions (<span><math><mi>σ</mi></math></span> and <span><math><msub><mrow><mi>U</mi></mrow><mrow><mi>i</mi><mi>j</mi></mrow></msub></math></span>, respectively), and the depth (<span><math><msub><mrow><mi>w</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>) of the radial potential. The ground-state 3D solitons, with the lowest set of topological charges in its components, one of which is 0 and the other one is <span><math><mrow><mo>±</mo><mn>1</mn></mrow></math></span> (these states are known as semivortices), keep the axial symmetry. Excited states with higher topological charges, which are unstable in previously studied SOC systems, feature broken axial symmetry, but may be dynamically stable states. In the absence of SOC, we also find stable two-component solitons with crescent- and hollow-shaped components.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116416"},"PeriodicalIF":5.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834550","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

Representation of solutions to tempered delayed ψ-fractional systems with noncommutative coefficients

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-16 DOI: 10.1016/j.chaos.2025.116392

Mustafa Aydin , Nazim I. Mahmudov

引用次数: 0

Time-delayed feedback multistable stochastic resonance in combination with ensemble empirical mode decomposition method and its application in the measurement of the varnished wire tension

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-16 DOI: 10.1016/j.chaos.2025.116442

Dongjian Zhang , Yong Zhang , Wei Fan , Shuzhen Yang , Wanhe Du , Kaiming Yu , Chenglin Qian , Peng Huang , Xuehui Gan

{"title":"Time-delayed feedback multistable stochastic resonance in combination with ensemble empirical mode decomposition method and its application in the measurement of the varnished wire tension","authors":"Dongjian Zhang , Yong Zhang , Wei Fan , Shuzhen Yang , Wanhe Du , Kaiming Yu , Chenglin Qian , Peng Huang , Xuehui Gan","doi":"10.1016/j.chaos.2025.116442","DOIUrl":"10.1016/j.chaos.2025.116442","url":null,"abstract":"<div><div>The online measurement of varnished wire tension is essential for ensuring production quality. However, weak vibration signals and significant noise interference pose considerable challenges to accurate tension measurement. To address these challenges, this paper proposes a novel method that combines Time-delayed Feedback Multistable Stochastic Resonance (TFMSR) with Ensemble Empirical Mode Decomposition (EEMD) to enhance the weak vibration signals of varnished wire and achieve precise tension measurement. Initially, a time-delay feedback term is incorporated into a multistable stochastic resonance model. By examining the motion of Brownian particles in a potential well, the effects of barrier parameters, feedback strength, delay time, and noise intensity on the stochastic resonance output are analyzed. The results demonstrate that the TFMSR model effectively denoises fault signals and improves the signal-to-noise ratio of the output, thereby providing a solid foundation for extracting the natural frequency of the varnished wire. Subsequently, the proposed TFMSR in combination with the EEMD method is compared to the TFMSR model and traditional signal preprocessing methods for natural frequency extraction. The comparison reveals that the proposed method outperforms the others in accurately identifying the natural frequencies of the varnished wire. Finally, experimental and engineering applications validate the effectiveness and superiority of the TFMSR in combination with the EEMD method for both natural frequency extraction and tension measurement of varnished wire. In summary, the proposed method demonstrates significant advantages in processing weak signals, making it a promising approach for tension measurement in materials such as carbon fibers, polyester fibers, and flexible substrates.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116442"},"PeriodicalIF":5.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838010","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

Global polynomial synchronization for quaternion-valued T–S fuzzy inertial neural networks via event-triggered control: A polynomial gain method 通过事件触发控制实现四元数值 T-S 模糊惯性神经网络的全局多项式同步：多项式增益法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-15 DOI: 10.1016/j.chaos.2025.116403

Jingjing Zhang , Zhouhong Li , Jinde Cao , Mahmoud Abdel-Aty , Xiaofang Meng

{"title":"Global polynomial synchronization for quaternion-valued T–S fuzzy inertial neural networks via event-triggered control: A polynomial gain method","authors":"Jingjing Zhang , Zhouhong Li , Jinde Cao , Mahmoud Abdel-Aty , Xiaofang Meng","doi":"10.1016/j.chaos.2025.116403","DOIUrl":"10.1016/j.chaos.2025.116403","url":null,"abstract":"<div><div>This work explores the global polynomial synchronization for a class of quaternion-valued Takagi–Sugeno fuzzy inertial neural networks based on event-triggered control. Firstly, the paper designs the fuzzy event-triggered controller with a polynomial gain, a unique approach to optimize the event-triggered mechanism. The non-reduced order and non-decomposition methods are applied to maintain computational efficiency without introducing new variables. Then, under static and dynamic event-triggered conditions, the system’s global polynomial synchronization is guaranteed by formulating a suitable delay-free Lyapunov functional and using quaternion properties and inequality techniques. Moreover, rigorous derivation is employed to verify a positive lower bound of any event-triggered interval, concluding that the system does not produce Zeno behavior. Finally, a numerical example and the application of image encryption and decryption are presented to strongly validate the reliability of the model and control mechanism in achieving global polynomial synchronization.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116403"},"PeriodicalIF":5.3,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143830106","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

Generalized fractal dimensions and gauges for self-similar sets and their application in the assessment of coherent conditional previsions and in the calculation of the Sugeno integral 自相似集的广义分形维数和量规及其在相干条件预设评估和菅野积分计算中的应用

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-15 DOI: 10.1016/j.chaos.2025.116374

Rim Achour , Serena Doria , Bilel Selmi , Zhiming Li

引用次数: 0

Dynamical analysis and accelerated adaptive prescribed performance control of a small coupling network of MEMS gyros

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-15 DOI: 10.1016/j.chaos.2025.116415

Linxue Shen , Shaohua Luo , Shaobo He , Tingyao Hu , Hassen M. Ouakad

{"title":"Dynamical analysis and accelerated adaptive prescribed performance control of a small coupling network of MEMS gyros","authors":"Linxue Shen , Shaohua Luo , Shaobo He , Tingyao Hu , Hassen M. Ouakad","doi":"10.1016/j.chaos.2025.116415","DOIUrl":"10.1016/j.chaos.2025.116415","url":null,"abstract":"<div><div>This paper delves into dynamic analysis, electronic circuit design, and accelerated adaptive prescribed performance control of a small coupling network of micro-electro-mechanical-system (MEMS) gyros. Initially, to compensate for the low sensitivity and bandwidth in single-/dual-mass gyro, we propose a small coupling network structure of MEMS gyros with mutual coupling, and further build its mathematical model via the Newton's laws and vibration dynamics theory. The subsequent dynamical analysis reveals abundant dynamic characteristics of such a coupling network using tools like Lyapunov exponents. Subsequently, to understand the dynamics of this coupling network at the hardware level and facilitate the subsequent die production of electronic components, we design an equivalent analog circuit based on energy flow theory, and its simulated results closely match those of the dynamical analysis above. To mitigate the harmful oscillations and address the state constraints, we propose an accelerated adaptive prescribed performance control scheme. In this scheme, a speed function is incorporated to accelerate error convergence rate, and a hyperbolic tangent tracking differentiator (HTTD) is designed to approximate the derivatives of the virtual control inputs to reduce computational complexity and effectively avoiding “complexity explosion”. Additionally, nonlinear unknown function of the system is approximated using a type-2 fuzzy wavelet neural network (T2FWNN), and tracking errors are constrained within a given boundary by prescribed performance functions. Finally, extensive simulations and comparison results provide compelling evidence of the feasibility and efficacy of our scheme.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116415"},"PeriodicalIF":5.3,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143830105","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

Approximate solutions and multi-scale dynamical analysis: A study of predator-prey models under relaxation oscillations 近似解与多尺度动力学分析：弛豫振荡下的捕食者-猎物模型研究

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-15 DOI: 10.1016/j.chaos.2025.116424

Muyao Zhang, Na Wang

{"title":"Approximate solutions and multi-scale dynamical analysis: A study of predator-prey models under relaxation oscillations","authors":"Muyao Zhang, Na Wang","doi":"10.1016/j.chaos.2025.116424","DOIUrl":"10.1016/j.chaos.2025.116424","url":null,"abstract":"<div><div>This article aims to explore the asymptotic solutions of the spruce budworm system and conducting an in-depth analysis of its dynamical characteristics, particularly the existence of relaxation oscillations within the system. According to the geometric singular perturbation theory, the system is decomposed into fast and slow time scales, and quantitative and qualitative analyses are conducted for each. In terms of qualitative analysis, this paper delves into the stability of equilibrium points and the conditions for Hopf bifurcations and the formation of limit cycles. Furthermore, the study confirms the existence of relaxation oscillations in the system by applying Fenichel's theorem. In the quantitative analysis, this paper employs Vasil'eva's method to obtain the first-order approximate solution of the model for the first time, and based on this, derives a more precise expression for the system's period. Finally, the correctness and applicability of the theoretical analysis were verified through numerical simulations. To the best of our knowledge, this article provides, for the first time, a systematic first-order approximate solution for relaxation oscillations from a quantitative analysis perspective. While significantly improving the accuracy of the error approximation and the smoothness of the approximate solution, it also enhances the accuracy of the relaxation oscillation period. These works are unprecedented in the literature, at least for models like the one discussed in this study.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116424"},"PeriodicalIF":5.3,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143830104","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