Chaos Solitons & Fractals最新文献

Dynamic analysis of the nonlinear fiber oscillator with fractional-order control in multi-filament fiber winding

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-03 DOI: 10.1016/j.chaos.2025.116385

Xinlei Fang , Jianguo Liang , Jiaquan Xie , Zhanchun Chen , Ting Wu , Jianglin Liu

{"title":"Dynamic analysis of the nonlinear fiber oscillator with fractional-order control in multi-filament fiber winding","authors":"Xinlei Fang , Jianguo Liang , Jiaquan Xie , Zhanchun Chen , Ting Wu , Jianglin Liu","doi":"10.1016/j.chaos.2025.116385","DOIUrl":"10.1016/j.chaos.2025.116385","url":null,"abstract":"<div><div>This work aims to investigate the dynamic behavior of the carbon fiber oscillator in the winding process of the novel multi-filament fiber winding equipment for high-pressure vessels, employing an improved fractional-order controller. Specifically, a coupling suppression fractional-order PD (CS-FOPD) control strategy is proposed for the two-degree-of-freedom carbon fiber oscillator. The multiple-scales method is employed to analyze the primary resonance of the system and derive the steady-state amplitude and phase solutions. The stability of the system is assessed using the Routh-Hurwitz criterion, and the analytical solutions are validated through numerical simulations. Furthermore, numerical simulations are conducted to investigate the effects of CS-FOPD control on the amplitude-frequency characteristics, controller performance, multi-stable phenomenon, attraction domain structure, and global bifurcation behavior of the system under varying system parameters. In the absence of coupling suppression strategy, the primary-superharmonic resonance characteristics are analyzed using the multiple-scales method, and stability is evaluated via Lyapunov's first method. The nonlinear dynamics of the system are further explored through amplitude-frequency response curves and attraction domain evolution. Finally, the Melnikov method is employed to calculate the distance between stable and unstable manifolds, providing an analytical prediction of the onset of chaos. The main obtained simulation results showed the excellent performance of the proposed control strategy and the evolution of the system's dynamic characteristics. By analyzing the nonlinear dynamics of the system under the proposed control strategy, this study provides key insights for optimizing the stability and performance of the novel multi-filament carbon fiber winding equipment.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116385"},"PeriodicalIF":5.3,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143759621","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

Dynamics analysis and predefined-time sliding mode synchronization of multi-scroll systems based on a single memristor model

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-02 DOI: 10.1016/j.chaos.2025.116337

Shaohui Yan, Xinyu Wu, Jiawei Jiang

{"title":"Dynamics analysis and predefined-time sliding mode synchronization of multi-scroll systems based on a single memristor model","authors":"Shaohui Yan, Xinyu Wu, Jiawei Jiang","doi":"10.1016/j.chaos.2025.116337","DOIUrl":"10.1016/j.chaos.2025.116337","url":null,"abstract":"<div><div>To overcome the limitations of conventional designs for memristive multi-scroll chaotic systems, this paper introduces a novel memristor that relies solely on a single memristor function and a single state variable function to generate both odd and even numbers of double-scroll attractors. This design not only simplifies the memristor structure but also offers a new approach to constructing multi-scroll chaotic systems. The proposed memristor is integrate into a modified Sprott-C system to develop the one-dimensional memristive multi-scroll Sprott-C systems (1D-MMSCS), two-dimensional memristive multi-scroll Sprott-C systems (2D-MMSCS), and the three-dimensional memristive multi-scroll Sprott-C systems (3D-MMSCS). The complex dynamics of these memristive multi-scroll systems are analyzed using equilibrium points, Poincaré maps, bifurcation diagrams, and Lyapunov exponents. Interestingly, the constructed MMSCS exhibits extreme multi-stability, indicating its high sensitivity to initial conditions and enhanced unpredictability. To verify the practical feasibility of the system, it is developed a digital hardware platform based on a Field-Programmable Gate Array (FPGA) and successfully implemented both the 1D-MMSCS and 2D-MMSCS. Finally, leveraging Lyapunov stability theory and predefined-time stability theory, a novel predefined-time sliding mode control scheme (PTSMS) is proposed. This scheme is applied to achieve synchronization in the more complex 3D-MMSCS. Simulation results confirm that the proposed method ensures rapid synchronization and exhibits strong robustness against internal uncertainties and external disturbances.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116337"},"PeriodicalIF":5.3,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143759619","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

Graph convolutional network for structural equivalent key nodes identification in complex networks

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-02 DOI: 10.1016/j.chaos.2025.116376

Asmita Patel, Buddha Singh

{"title":"Graph convolutional network for structural equivalent key nodes identification in complex networks","authors":"Asmita Patel, Buddha Singh","doi":"10.1016/j.chaos.2025.116376","DOIUrl":"10.1016/j.chaos.2025.116376","url":null,"abstract":"<div><div>Identifying key influential nodes in complex networks is crucial for applications such as social network analysis, epidemiology, and recommendation systems. This paper proposes SE_GCN (Structural Equivalence with Graph Convolutional Network), a method that combines structural equivalence with Graph Convolutional Networks (GCNs) to identify key nodes in complex networks. SE_GCN leverages structural similarities among nodes at various hop distances to construct a comprehensive feature matrix, which is directly used for node embedding. GCNs are employed to process this feature matrix, learning effective representations of nodes within the network. The fully connected layer of SE_GCN computes the embedded score of each node, and a sigmoid function predicts the influential probabilities of nodes. The performance of SE_GCN is evaluated by comparing it with the Susceptible-Infected-Recovered (SIR) epidemiological model, Kendall's tau correlation, and Jaccard similarity. The proposed method is assessed using baseline methods in terms of infection rate, seed set size, correlation coefficient, and similarity index across several synthetic and real-world networks. The results demonstrate that SE_GCN outperforms existing methods, highlighting its effectiveness and robustness in identifying influential nodes.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116376"},"PeriodicalIF":5.3,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143746964","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

Strontium ferrite nanoparticles based broadband nonlinear optical modulator for ultrafast pulse generation in fiber lasers

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-02 DOI: 10.1016/j.chaos.2025.116395

Mamoon Asghar , M. Hamza Younes , Qaisar Hayat , Asma Noor , Tahani A. Alrebdi , Haroon Asghar

{"title":"Strontium ferrite nanoparticles based broadband nonlinear optical modulator for ultrafast pulse generation in fiber lasers","authors":"Mamoon Asghar , M. Hamza Younes , Qaisar Hayat , Asma Noor , Tahani A. Alrebdi , Haroon Asghar","doi":"10.1016/j.chaos.2025.116395","DOIUrl":"10.1016/j.chaos.2025.116395","url":null,"abstract":"<div><div>Nanomaterials exhibiting broadband nonlinear optical responses have garnered considerable interest in the field of ultrafast photonics. These materials have been extensively validated as effective saturable absorbers (SAs), demonstrating their capability to facilitate the generation of broadband optical pulses. In this study, strontium ferrite nanoparticles (SrFeO-NPs), were synthesized using the sol-gel method and were then employed as SA to initiate ultrafast pulse operation in fiber lasers. The prepared NPs exhibited excellent nonlinear absorption properties, enabling the measurement of modulation depth and saturation intensities across the 1–2 μm spectral range. The measured results showed that the SrFeO-NPs as SA in fiber lasers yielded pulse durations in the femtosecond (fs) domain in Yb, Er, and Tm-doped fiber lasers, with pulse durations of 801 fs, 857 fs, and 671 fs, respectively. The performance characteristics of the output pulses, containing wavelength, repetition rates, output power, pulse energy, and stability, were also examined and discussed in detail. This study paves the way for novel approaches in integrating diverse materials, thereby advancing the development of broadband laser systems utilizing nanomaterials for applications in the extended near to mid-infrared spectral region.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116395"},"PeriodicalIF":5.3,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143746965","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

Josephson “flying qubit” revival: Flux-based control optimization

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-02 DOI: 10.1016/j.chaos.2025.116353

M.V. Bastrakova , D.S. Pashin , P.V. Pikunov , I.I. Soloviev , A.E. Schegolev , N.V. Klenov

引用次数: 0

Stability and phase transition of a novel lattice hydrodynamic model considering different flux information coordination methods

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-02 DOI: 10.1016/j.chaos.2025.116393

Geng Zhang, Hai-Yan Guo, Yue Ren, Hao-Ting Gan

{"title":"Stability and phase transition of a novel lattice hydrodynamic model considering different flux information coordination methods","authors":"Geng Zhang, Hai-Yan Guo, Yue Ren, Hao-Ting Gan","doi":"10.1016/j.chaos.2025.116393","DOIUrl":"10.1016/j.chaos.2025.116393","url":null,"abstract":"<div><div>With the continuous increase of road traffic flow, traffic congestion is becoming increasingly severe. To reduce traffic jam, cooperative driving of vehicles under the environment of Internet of Vehicles is an effective method. Aiming at the difference of cognition and utilization of the target vehicle for its preceding and following traffic information, a novel lattice hydrodynamic model by considering different flux information coordination methods is developed. In the new model, the flux differential information of the preceding road section and the flux integration information of the following road section are taken into account. By applying linear stability analysis, the linear stability condition of the new model is acquired and it shows that as the effects of flux differential information and flux integration information increasing, the stable region of the new model significantly expands. Then, nonlinear stability analysis method is adopted to derive the modified Korteweg-de Vries (mKdV) equation to describe the transition characteristics of the unstable density waves. Finally, through numerical simulation experiments, the active impact of flux differential information and flux integration information on traffic stability is demonstrated. The result is helpful in enhancing traffic performance under Internet of Vehicles environment.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116393"},"PeriodicalIF":5.3,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143759617","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

Remote synchronization induced by external signals in star networks

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-01 DOI: 10.1016/j.chaos.2025.116345

Siyu Huo , Nan Yao , Zi-Gang Huang , Zonghua Liu

{"title":"Remote synchronization induced by external signals in star networks","authors":"Siyu Huo , Nan Yao , Zi-Gang Huang , Zonghua Liu","doi":"10.1016/j.chaos.2025.116345","DOIUrl":"10.1016/j.chaos.2025.116345","url":null,"abstract":"<div><div>Remote synchronization (RS) is an emerging focus in nonlinear dynamics and complex networks, as it provides insights into how functional connections in the brain arise from its structural network. While previous studies have extensively explored RS under intrinsic coupling conditions, the combined influence of external stimuli and coupling strength, a critical factor in real-world systems, remains unexplored. In this study, we investigate RS in a star network of coupled Stuart–Landau oscillators, a simplified model of hierarchical brain structures, under varying external stimuli and coupling strengths. Using numerical simulations and theoretical analysis, we identify two distinct mechanisms driving RS: direct resonance between external stimuli and leaf nodes, and hub-mediated synchronization facilitated by resonance between the hub node and the stimuli. We further reveal that RS occurs within specific coupling strength ranges and is maximized when the stimulus frequency aligns with the natural frequencies of either the hub or leaf nodes. These results emphasize the delicate interplay between coupling strength and external perturbations in shaping RS, providing a theoretical framework for understanding the mechanisms of RS emergence under external stimuli.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116345"},"PeriodicalIF":5.3,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738971","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

Generating Mandelbrot and Julia sets using PV iterative technique

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-01 DOI: 10.1016/j.chaos.2025.116346

Pragati Gautam , Vineet

{"title":"Generating Mandelbrot and Julia sets using PV iterative technique","authors":"Pragati Gautam , Vineet","doi":"10.1016/j.chaos.2025.116346","DOIUrl":"10.1016/j.chaos.2025.116346","url":null,"abstract":"<div><div>In this study, we utilize the PV iteration method to generate Mandelbrot and Julia sets for the function <span><math><mrow><mi>G</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow><mo>=</mo><msup><mrow><mi>z</mi></mrow><mrow><mi>k</mi></mrow></msup><mo>+</mo><mi>c</mi></mrow></math></span>. We establish escape criterion conditions for the PV iteration and provide a variety of graphical examples for different parameter settings. We also compare the graphs with those generated by other well-known iterations, such as the Picard-Mann and M iterations. Furthermore, we investigate the dependency between the iteration’s parameters and three numerical measures: the average escape time (AET), the non-escaping area index (NAI), and the fractal generation time. A comparative analysis is conducted with the renowned Mann, Picard-Mann, and M iteration methods. The results demonstrate that the fractals generated by the PV iteration exhibit distinct characteristics compared to those generated by other iterations, with non-linear dependencies that vary between different methods. These findings highlight the unique properties and potential applications of PV iteration in fractal generation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116346"},"PeriodicalIF":5.3,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143746962","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

Aging in coevolving voter models

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-01 DOI: 10.1016/j.chaos.2025.116344

Byungjoon Min , Maxi San Miguel

引用次数: 0

Temporal correlation-based neural relational inference for binary dynamics

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-01 DOI: 10.1016/j.chaos.2025.116350

Haowei Zhang , Yuexing Han , Gouhei Tanaka , Bing Wang

{"title":"Temporal correlation-based neural relational inference for binary dynamics","authors":"Haowei Zhang , Yuexing Han , Gouhei Tanaka , Bing Wang","doi":"10.1016/j.chaos.2025.116350","DOIUrl":"10.1016/j.chaos.2025.116350","url":null,"abstract":"<div><div>Binary-state dynamics are prevalent in nature, from societal dynamics to dynamical systems in physics. Reconstructing a network structure behind interacting binary-state dynamical systems is essential, as it can facilitate understanding of these dynamical systems and improve the accuracy of predicting dynamical behavior. So far, few works have focused on correlation information in binary-state temporal data to help reconstruct networks. In this study, we propose temporal correlation-based neural relational inference for binary dynamics (TCNRI), inspired by the maximum likelihood estimation of activation events in binary dynamics processes. TCNRI constructs instantaneous correlation features and long-term correlation features by analyzing activation events in the time series data. These features capture the correlation information and help TCNRI reconstruct the network structure. We treat the binary-state dynamical process as a Markov process and use neural networks to reproduce node dynamics based on the reconstructed network structure. We conduct simulations on the classic susceptible–infected–susceptible (SIS) dynamics and Ising dynamics. The results show that TCNRI significantly outperforms baseline models and can accurately reconstruct the network structure for both typical synthetic networks and real networks.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116350"},"PeriodicalIF":5.3,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143746963","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