Chaos Solitons & Fractals最新文献_第10页

The descriptive set theoretic properties of multifractal topological entropy and its applications 多重分形拓扑熵的描述集论性质及其应用

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-29 DOI: 10.1016/j.chaos.2025.117058

Tingting Wang , Bilel Selmi , Zhiming Li

引用次数: 0

External charged debris in a flowing plasma: Charge fluctuation induced complexity 流动等离子体中的外部带电碎片：电荷波动引起的复杂性

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-29 DOI: 10.1016/j.chaos.2025.117102

Bikramjit Joardar, Hitendra Sarkar, Madhurjya P. Bora

引用次数: 0

Manifold-based stability assessment in bursting oscillations induced by transcritical bifurcation under frequency switching 基于流形的频率切换下跨临界分岔爆破振荡稳定性评估

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-29 DOI: 10.1016/j.chaos.2025.117114

Jiahao Zhao, Guojun Yu, Xiujing Han, Xindong Ma, Jiadong Wang

{"title":"Manifold-based stability assessment in bursting oscillations induced by transcritical bifurcation under frequency switching","authors":"Jiahao Zhao, Guojun Yu, Xiujing Han, Xindong Ma, Jiadong Wang","doi":"10.1016/j.chaos.2025.117114","DOIUrl":"10.1016/j.chaos.2025.117114","url":null,"abstract":"<div><div>This study investigates the mechanisms driving bursting oscillation stability and unconventional bursting dynamics related to transcritical bifurcations under frequency switching. Through analytical and numerical examination of five canonical vector fields spanning one- and two-dimensional systems under dual typical switching schemes, we establish that the boundedness of basins of attraction, which leads to divergent behaviors due to basin of attraction mismatch or closure, originates from the configuration of stable manifolds of the saddle points constituting the transcritical bifurcation. Based on this mechanism, a simulation-free methodology is proposed for prior detection of the divergence potential and tracking corresponding threshold windows by quantifying the intersections between the <span><math><mi>y</mi></math></span>-values of switching positions and the invariant manifolds. Based on this framework, two-dimensional vector fields with transcritical bifurcation are classified into two categories according to their invariant manifold structures: the encircling configuration of saddle-point stable manifolds typically yields zero or double intersection points, associated with potential divergence behaviors caused by basin closure or mismatch with threshold variations, and the splayed configuration consistently exhibits a single intersection point, ensuring stable frequency-switching processes.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"200 ","pages":"Article 117114"},"PeriodicalIF":5.6,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144919896","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

Accelerated Nash equilibrium seeking algorithm with local memory for two-subnetwork zero-sum games 基于局部内存的双子网零和博弈加速纳什均衡寻优算法

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-29 DOI: 10.1016/j.chaos.2025.117103

Jiuan Gao , Daning Lei , Mingxing Qin , Jianxiang Xi , Yuanshi Zheng

引用次数: 0

Memory-based sliding mode control for discrete time T–S fuzzy singular systems under dynamic memory event-triggered mechanism and its application 动态记忆事件触发机制下离散时间T-S模糊奇异系统的记忆滑模控制及其应用

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-29 DOI: 10.1016/j.chaos.2025.117107

Jie He, Junchao Ren

引用次数: 0

Network motifs in talamocortical system model responsible for delta-rhythm generation 大脑皮层系统模型中的网络基序负责delta节律的产生

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-29 DOI: 10.1016/j.chaos.2025.117081

Anton A. Kapustnikov , Ilya V. Sysoev , Marina V. Sysoeva

引用次数: 0

MDoF mechanical systems with rate-independent hysteresis: Assessment of dimensionality, loop shapes, and mass ratio 具有速率无关迟滞的多自由度机械系统：尺寸、回路形状和质量比的评估

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-28 DOI: 10.1016/j.chaos.2025.117062

Raffaele Capuano, Nicolò Vaiana, Luciano Rosati

{"title":"MDoF mechanical systems with rate-independent hysteresis: Assessment of dimensionality, loop shapes, and mass ratio","authors":"Raffaele Capuano, Nicolò Vaiana, Luciano Rosati","doi":"10.1016/j.chaos.2025.117062","DOIUrl":"10.1016/j.chaos.2025.117062","url":null,"abstract":"<div><div>We explore the dynamic behavior of Multi Degrees of Freedom (MDoF) mechanical systems characterized by rate-independent hysteretic properties. The study focuses on three main aspects: (i) the influence of system dimensionality; (ii) the combined effect of distinct hysteretic behaviors acting on different components, and (iii) the impact of mass ratio variations on the steady-state response. To this end, a general class of nonlinear hysteretic systems is defined using a non-dimensional formulation, and a Poincaré map-based continuation procedure is employed to numerically compute periodic solutions, determine their stability, and detect bifurcations. Moreover, the adoption of the Vaiana–Rosati model of hysteresis (VRM+D) enables a unified and thorough analysis of complex hysteretic loop shapes for the first time. The results obtained in a consistent set of case studies reveal how these internal features govern resonance phenomena, affect stability, mode interactions and lead to the occurrence of advanced bifurcation patterns, including quasi-periodic oscillations and chaos.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"200 ","pages":"Article 117062"},"PeriodicalIF":5.6,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144908586","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

Dynamical behaviors of a complex-variable laser system with a memcapacitor 带记忆电容器的复变激光系统的动力学行为

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-28 DOI: 10.1016/j.chaos.2025.117091

Qixu Guo, Jian Liu, Huaqing Nie, Dan Wang, Wenjing Wang

{"title":"Dynamical behaviors of a complex-variable laser system with a memcapacitor","authors":"Qixu Guo, Jian Liu, Huaqing Nie, Dan Wang, Wenjing Wang","doi":"10.1016/j.chaos.2025.117091","DOIUrl":"10.1016/j.chaos.2025.117091","url":null,"abstract":"<div><div>The memcapacitor is integrated into a nonlinear system to enhance its nonlinear dynamical characteristics and to capture the effect of external electric-field. This paper proposes a novel complex-variable laser system incorporating a memcapacitor (MCVLS). The energy function of the MCVLS is derived using the Helmholtz’s theorem. Furthermore, the hidden dynamical behaviors of the MCVLS, which depend on parameters, time and initial conditions, are systematically investigated. The results demonstrate that the MCVLS can generate rich dynamical behaviors under different parameter settings, including hidden multi-scroll attractors exhibiting spiking or bursting patterns. A negative correlation is observed between the system energy and the number of scrolls, suggesting that scroll generation consumes energy. In particular, by adjusting the two initial conditions of the memcapacitor, hidden two-dimensional (2-D) offset-boosting coexisting attractors with hybrid-topology can be generated, each exhibiting distinct offset trajectories. Notably, the system exhibits complex hidden neuromorphic firing behaviors such as spiking and bursting, including an exceptionally rare time-originated firing transitions that involves three distinct firing patterns. These findings hold promising potential for applications in the fields of information security and optical brain-like computing.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"200 ","pages":"Article 117091"},"PeriodicalIF":5.6,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144908587","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 dynamical analysis for two-dimensional magnetic bearing system under α-stable Lévy noise excitation based on PINNs 基于pin n的二维磁轴承系统在α-稳定lsm噪声激励下的动力学分析

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-28 DOI: 10.1016/j.chaos.2025.117106

Shaojuan Ma , Baolan Li , Hufei Li

{"title":"The dynamical analysis for two-dimensional magnetic bearing system under α-stable Lévy noise excitation based on PINNs","authors":"Shaojuan Ma , Baolan Li , Hufei Li","doi":"10.1016/j.chaos.2025.117106","DOIUrl":"10.1016/j.chaos.2025.117106","url":null,"abstract":"<div><div>This paper mainly investigates the impact of <span><math><mi>α</mi></math></span>-stable Lévy white noise on magnetic bearing systems. By using the Physics-informed neural networks (PINNs) algorithm to solve the time-dependent Fokker–Planck-Kolmogorov (FPK) equation, the transient probability density function (PDF) is ultimately obtained. Firstly, the model of magnetic bearing system excited by <span><math><mi>α</mi></math></span>-stable Lévy white noise is established. Secondly, the fractional FPK equation for this model under the excitation of <span><math><mi>α</mi></math></span>-stable Lévy white noise is derived. Thirdly, a deep learning method based on PINNs is proposed to solve the corresponding fractional FPK equation. Finally, the effectiveness and feasibility of this method are verified through detailed examples. The results show that the PINNs solution is very consistent with the Monte Carlo (MC) results, which shows that PINNs method is suitable for solving the two-dimension space fractional FPK equation, and proves that PINNs algorithm is not only efficient in calculation, but also effective and interpretable.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"200 ","pages":"Article 117106"},"PeriodicalIF":5.6,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144907897","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

Coupling dynamics of fluctuating-damping oscillators in Erdős-Rényi random networks Erdős-Rényi随机网络中波动-阻尼振子的耦合动力学

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-28 DOI: 10.1016/j.chaos.2025.117104

Ruoqi Zhang , Lifeng Lin , Sihong Shi , Huiqi Wang

{"title":"Coupling dynamics of fluctuating-damping oscillators in Erdős-Rényi random networks","authors":"Ruoqi Zhang , Lifeng Lin , Sihong Shi , Huiqi Wang","doi":"10.1016/j.chaos.2025.117104","DOIUrl":"10.1016/j.chaos.2025.117104","url":null,"abstract":"<div><div>The intrinsic randomness of network topology and individual-level environmental perturbations are fundamental determinants of the diversity of collective dynamics in coupled systems, particularly in producing complex behaviors that elude deterministic frameworks. In this study, we investigate the coupling dynamics of fluctuating-damping oscillators on Erdős-Rényi (ER) random networks, wherein randomness arises from both the network structure and time-varying local dynamics. We begin by employing random matrix theory (RMT) to characterize structural randomness and examine how the interplay between network characteristics and damping fluctuations influences synchronization behavior. Specifically, we derive the condition for stochastic asymptotic synchronization and quantify its probability based on the spectral distribution of random Laplacian matrix. Our analysis demonstrates that greater noise intensity or lower switching rates hinder synchronization, whereas stronger coupling strength, larger network scale, and higher wiring probability promote it. Within the synchronization regime, we further establish conditions for stochastic asymptotic stability and analytically characterize the steady-state response of collective behavior, providing explicit expressions for the first moment of the mean field. Numerical simulations validate the theoretical findings and reveal non-monotonic dependencies of the synchronization process on key structural parameters, including coupling strength, network scale, and wiring probability. These results elucidate nonlinear, parameter-sensitive mechanisms by which topological characteristics and damping fluctuations jointly govern collective dynamics. Moreover, this study offers a potential methodological framework for investigating coupling dynamics in broader classes of complex networks through the integration of RMT.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"200 ","pages":"Article 117104"},"PeriodicalIF":5.6,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144908521","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