Chaos Solitons & Fractals最新文献

{"title":"Vibrational resonance and antiresonance in a membrane-in-the-middle optomechanical system","authors":"Xin Fu,&nbsp;Shan Wu,&nbsp;Cuicui Li,&nbsp;Min Xie,&nbsp;Zhenglu Duan,&nbsp;Bixuan Fan","doi":"10.1016/j.chaos.2025.116652","DOIUrl":"10.1016/j.chaos.2025.116652","url":null,"abstract":"<div><div>We investigated the phenomena of VR and VAR in a membrane-in-the-middle optomechanical system driven by a coherent optical field, weak low-frequency mechanical signal, and strong high-frequency mechanical signal. The method of direct separation of fast and slow motions was used to derive an analytical expression for the response amplitude <span><math><mi>Q</mi></math></span> to the low-frequency signal, which was consistent with numerical simulations in the low-response regime. The numerical results demonstrated that the low-frequency signal was significantly amplified by the high-frequency signal via the VR mechanism. Furthermore, we numerically observed the emergence of VAR, which considerably suppressed the weak signal across a wide range of amplitudes of the high-frequency signal. These findings provide theoretical guidance for controlling the amplification and suppression of weak force signals in optomechanical systems, with potential applications in precision sensing and signal processing.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116652"},"PeriodicalIF":5.3,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279284","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}

{"title":"Dynamic analysis and implementation of a multi-stable Hopfield neural network","authors":"Xuxin Li,&nbsp;Min Luo,&nbsp;Bo Zhang,&nbsp;Song Liu","doi":"10.1016/j.chaos.2025.116657","DOIUrl":"10.1016/j.chaos.2025.116657","url":null,"abstract":"<div><div>To further investigate the influence of multistability on dynamic memory and information processing in biological neurons, this paper constructs a Hopfield neural network (HNN) model with memristive synaptic weights. The dynamical behaviors are systematically analyzed via bifurcation diagrams, Lyapunov exponent spectra, and phase portraits. The results demonstrate that the HNN not only exhibits bistability through variations in non-memristive initial values but also reveals multistability under altered memristive initial conditions, accompanied by observable transient chaotic phenomena. Furthermore, under appropriate initial conditions, the system generates infinite pairs of coexisting chaotic and periodic attractors with structural similarity and spatial offset, manifesting a symmetric multistability. Experimental validation using FPGA-based hardware implementation confirms the consistency between theoretical analysis and numerical simulations. Additionally, the application of generated chaotic sequences to image encryption is explored through numerical simulations and statistical analyses, demonstrating satisfactory encryption performance.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116657"},"PeriodicalIF":5.3,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279287","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}

{"title":"Analysis of synchronization transitions in higher-order Kuramoto oscillator system with different orders of phase lags","authors":"Tianyu Li,&nbsp;Ying Xie,&nbsp;Zhiqiu Ye,&nbsp;Jiapei Zeng,&nbsp;Yingqi Liu,&nbsp;Lu Liu,&nbsp;Ya Jia","doi":"10.1016/j.chaos.2025.116749","DOIUrl":"10.1016/j.chaos.2025.116749","url":null,"abstract":"<div><div>Phase lag plays a crucial role in the modeling and understanding of various complex systems. In this work, two phase lags acting on different orders of coupling are introduced in Kuramoto oscillator system. Based on a low-dimensional model, theoretical analysis precisely reveals that increasing the phase lag associated with the pairwise coupling does not alter the synchronization transition mode but shifts both the saddle-node and subcritical bifurcation points. Moreover, it leads to an expansion of the hysteresis width during explosive synchronization. In contrast, increasing the phase lag related to the 2-simplex coupling progressively reduces the hysteresis width until the system exhibits a continuous synchronization transition. These conclusions are also verified in two empirical networks, where a network with higher average 2-simplex degree is more likely to induce explosive synchronization and wider hysteresis region.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116749"},"PeriodicalIF":5.3,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279288","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}

{"title":"Noisy sine-Gordon breather dynamics: A short review","authors":"Duilio De Santis ,&nbsp;Davide Valenti ,&nbsp;Bernardo Spagnolo ,&nbsp;Giovanni Di Fresco ,&nbsp;Angelo Carollo ,&nbsp;Claudio Guarcello","doi":"10.1016/j.chaos.2025.116641","DOIUrl":"10.1016/j.chaos.2025.116641","url":null,"abstract":"<div><div>The aim of this review is to address recent developments in the emergence and dynamics of sine-Gordon (SG) breathers under dissipation, external drives, and environmental noise. We then discuss various strategies for breather detection in a specific physical platform: the long Josephson junction (LJJ). We note that our findings rely on a rather general SG framework, whose importance extends well beyond the scope of Josephson electronics. While the results hold significance in contexts involving nonequilibrium and collective phenomena, we also emphasize their connection to the Josephson world, as they provide direct insights relevant to that domain.</div><div>To set the stage for our discussions in the Josephson context, we begin by deriving the celebrated Josephson relations. From the basic Josephson junction building block, we obtain the SG model for the electrodynamics of the LJJ and provide an overview of the model’s properties. We then discuss recent research findings on: (i) supratransmission-induced traveling breathers and their detection; (ii) the noise-enhanced stability effect on breather dynamics; (iii) the AC-locking of noise-induced breathers and their statistical (resistive switching) signature; (iv) the thermal transport fingerprint of Josephson breathers.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116641"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279465","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}

{"title":"Interpretable graph clustering on massive attribute networks via multi-agent dynamic game","authors":"Huijia Li ,&nbsp;Fanghao Lou ,&nbsp;Qiqi Wang ,&nbsp;Guijun Li","doi":"10.1016/j.chaos.2025.116654","DOIUrl":"10.1016/j.chaos.2025.116654","url":null,"abstract":"<div><div>The efficient clustering of attributed graphs is a critical and challenging problem that has attracted significant attention across various research fields. In this area, interpretation of the formation for attribute cluster configuration and balance between clustering quality and computational efficiency are two important issues. To solve these problems, in this paper, we model the attribute graph clustering problem as a multi-objective optimization problem and interpret the formation and evolution of cluster configuration by a new multi-agent dynamic game. By the effectively defining of feasible strategy mapping function and utility function for each node, the proposed framework demonstrates that the multi-objective optimization problem can be solved by calculating a series of coupled Nash equilibrium problems to achieve Pareto local optimal solution. Based on the theoretical analysis, we further propose a new attribute graph clustering algorithm. By updating the state variable to the convergence, one can automatically uncover rich semantic clusters on massive attribute graphs. The experiments on four public datasets show that the proposed method is effective and efficient.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116654"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272604","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}

{"title":"Actuator and sensor fault detection for a nonlinear fractional-order system with time-varying delay","authors":"Zhemin Zhao,&nbsp;Lingyu Zhu,&nbsp;Jiafu Li,&nbsp;Dongsheng Du","doi":"10.1016/j.chaos.2025.116647","DOIUrl":"10.1016/j.chaos.2025.116647","url":null,"abstract":"<div><div>In this paper, the problem of actuator and sensor fault detection for a nonlinear fractional-order system with time-varying delay is investigated. An observer-based multi-objective fault detection method is proposed for nonlinear fractional-order systems. This method integrates a quadratic function with a Caputo derivative estimation lemma to effectively address nonlinearities, external disturbances, and simultaneous actuator/sensor faults. In order to detect the faults, a memoryless full-order observer is employed as the residual generator. Subsequently, by employing the Razumikhin theorem concerning Caputo derivative estimation of quadratic functions in conjunction with the model-related Lyapunov function technique, sufficient conditions are derived to ensure the asymptotic stability of the error system with an pre-described <span><math><mrow><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub><mo>/</mo><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></mrow></math></span> performance, thereby simultaneously ensuring robustness against disturbances and sensitivity to faults. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed results.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116647"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272605","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}

{"title":"A lattice model of mixed traffic flow based on critical safety potential field and driver vigilance feedback: Numerical simulation of critical safety potential field fluctuations characterizing the effects of vehicle mass and volume differences","authors":"Hongzhuan Zhao ,&nbsp;Yijie Tang ,&nbsp;Yichen Wang ,&nbsp;Quan Yuan ,&nbsp;Tao Wang ,&nbsp;Dan Zhou ,&nbsp;Yicai Zhang ,&nbsp;Liangyi Yang ,&nbsp;Qi Xu ,&nbsp;LiQiao Nong","doi":"10.1016/j.chaos.2025.116689","DOIUrl":"10.1016/j.chaos.2025.116689","url":null,"abstract":"<div><div>With the rapid development of intelligent connected vehicles, managing mixed traffic flow composed of conventional passenger cars, lightweight passenger cars, and commercial vehicles has become a significant challenge in the field of transportation. This paper proposes a lattice model of traffic flow based on a critical safety potential field and driver vigilance feedback to address the stability and safety issues caused by differences in vehicle mass, volume, and length in mixed traffic environments. First, the model introduces lightweight passenger vehicles to establish a new scenario for mixed traffic flow. Second, it improves the traditional safety potential field model by incorporating vehicle speed, mass, and length characteristics into the macro-traffic flow model. Finally, it introduces driver vigilance feedback for different vehicle types to create a novel lattice model for mixed traffic environments. Linear and nonlinear stability analyses indicate that while the increase in commercial vehicle volume and mass slightly enhances traffic flow stability through driver vigilance feedback, increasing driver vigilance feedback for commercial vehicles can effectively improve traffic stability, whereas increasing vigilance feedback for lightweight passenger cars tends to exacerbate traffic congestion. Numerical analyses further verify the theoretical accuracy of the model, integrating micro-traffic flow with macro-traffic flow and simulating the evolution of density waves and critical safety potential field forces under mixed traffic conditions with varying vehicle mass and volume differences. The model proposed in this paper, by introducing driver vigilance feedback and a critical safety potential field, offers a new theoretical framework for understanding and predicting the dynamic behavior of mixed traffic flow, providing an innovative solution to address traffic stability issues in mixed traffic environments.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116689"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272608","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}

{"title":"Chaotic intermittency as a random telegraphic signal","authors":"Sergio Elaskar ,&nbsp;Juan Colman ,&nbsp;Inés P. Mariño ,&nbsp;Juan C. Vallejo ,&nbsp;Jesús M. Seoane ,&nbsp;Ezequiel del Rio","doi":"10.1016/j.chaos.2025.116650","DOIUrl":"10.1016/j.chaos.2025.116650","url":null,"abstract":"<div><div>A wide range of processes can be characterized by a random telegraphic signal, which is essentially a time-dependent signal that oscillates randomly between two distinct values. Meanwhile, the concept of chaotic intermittency holds significant relevance across various fields, including physics, engineering, and medicine, among others. This paper aims to establish a connection between these two topics to deepen our understanding of chaotic intermittency. Specifically, we explore how the probabilities associated with waiting or sojourn times in random telegraphic signals can be linked to the probability density of laminar lengths, as determined through a novel theoretical framework of chaotic intermittency. To validate our theoretical findings, we conduct a series of numerical experiments focused on three different types of intermittencies: type I, type II, and type III. We demonstrate that the correlation between random telegraphic signals and chaotic intermittency offers several advantages. In particular, this formulation enables the evaluation of the probability that the system remains in either a laminar or chaotic phase. Therefore, this technique facilitates the comparison between analytical and numerical approaches, and we conclude that there is a very close alignment between both approaches.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116650"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272609","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}

{"title":"Energy function of 2D and 3D coarse systems","authors":"Jean-Marc Ginoux ,&nbsp;Riccardo Meucci ,&nbsp;Jaume Llibre ,&nbsp;Julien Clinton Sprott","doi":"10.1016/j.chaos.2025.116643","DOIUrl":"10.1016/j.chaos.2025.116643","url":null,"abstract":"<div><div>In this work, while using the <em>Flow Curvature Method</em> developed by one of us (JMG), we prove that the <em>energy function</em> of two and three-dimensional <em>coarse systems</em> involving a small parameter <span><math><mi>μ</mi></math></span> can be directly deduced from the <em>curvature</em> of their trajectory curves when <span><math><mi>μ</mi></math></span> tends to zero. Such a result thus confirms the relationship between <em>curvature</em> and <em>energy function</em> for a certain class of differential systems already established in one of our previous contributions. Then, we state that the rate of change of the <em>energy function</em> of such <em>coarse systems</em> is equal to the scalar product of the <em>velocity vector field</em> and its first time derivative, i.e. the <em>acceleration vector field</em>. The comparison of these results with the so-called Frénet frame enables to prove that <em>energy function</em> is proportional to the normal component of the acceleration when <span><math><mi>μ</mi></math></span> tends to zero while the rate of change of the <em>energy function</em> is proportional to the tangential component of the acceleration at first order in <span><math><mi>μ</mi></math></span>. Two and three-dimensional examples are then used to emphasize these two main results.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116643"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144272612","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}

{"title":"Neurodynamics in simple cyclic Hopfield neural network under external electromagnetic radiation and stimulating current inputs","authors":"Qiang Lai ,&nbsp;Minghong Qin ,&nbsp;Guanrong Chen","doi":"10.1016/j.chaos.2025.116663","DOIUrl":"10.1016/j.chaos.2025.116663","url":null,"abstract":"<div><div>External stimuli can influence the electrical activities of neurons, inducing complex and diverse neurodynamic behaviors through coordination and interaction among neurons. This article investigates the neurodynamics of a simple cyclic Hopfield neural network (SCHNN) with unidirectional connections and no autapse, under external electromagnetic radiation and stimulating current inputs. Numerical analyses show that, when SCHNN is exposed only to electromagnetic radiation, it has eight unstable equilibria and can produce homogeneous/heterogeneous multistability, amplitude control and different types of firing patterns, e.g., periodic/chaotic spiking and bursting firing. When SCHNN is affected jointly by electromagnetic radiation and stimulating current inputs, it exhibits diverse types of firing multistability, such as resting and periodic spiking as well as chaotic and periodic spiking. Interestingly, neurons in SCHNN also exhibit controllable frequency bursting firing behavior with varying electromagnetic radiation parameters in huge scales. Finally, a digital hardware implementation platform is designed and physically realized to reproduce the neurodynamics observed from numerical simulations.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116663"},"PeriodicalIF":5.3,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144270764","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}