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Research on synchronization in a Josephson junction-memristor system with dual capacitive membranes
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-19 DOI: 10.1016/j.chaos.2024.115918
Zhenpu Liu, Shu Zhou, Rui Zhu, Guodong Huang, Yuan Chai
{"title":"Research on synchronization in a Josephson junction-memristor system with dual capacitive membranes","authors":"Zhenpu Liu, Shu Zhou, Rui Zhu, Guodong Huang, Yuan Chai","doi":"10.1016/j.chaos.2024.115918","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115918","url":null,"abstract":"Neuronal synchronization plays a pivotal role in brain function, yet conventional neuron models often overlook crucial membrane properties when considering synchronization. There is a need for a comprehensive exploration of the effects of Josephson junctions (JJ) and memristors in nonlinear circuits, particularly in elucidating synchronization states, to better understand this aspect of neuronal behavior. This research employs a dual-capacitance neuron model, integrating memristors and JJ, to investigate their collective influence in coupled systems. By adjusting the gain ratio of coupling strength, introducing noise, and modulating external stimuli, a detailed investigation into neuronal dynamic behaviors and synchronization patterns is undertaken. The findings illustrate that neuronal synchronization is intricately influenced by the ratio of coupling strength, noise levels, and external stimuli. Optimal synchronization occurs with moderate stimuli and coupling gain ratios, while excessive levels inhibit synchronization, resulting in delayed synchronization onset. Moreover, the study demonstrates the system's robustness against Gaussian white noise models. These findings have broad implications, spanning from the diagnosis and treatment of neurological disorders to advancements in brain-machine interfaces and neural modulation therapies. Understanding neuronal synchronization not only enhances cognitive functions but also paves the way for innovative solutions in neurological interventions.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"93 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857550","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
Regression analysis for thermal transport of fractional-order magnetohydrodynamic Maxwell fluid flow under the influence of chemical reaction using integrated machine learning approach
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-19 DOI: 10.1016/j.chaos.2024.115927
Waqar Ul Hassan, Khurram Shabbir, Ahmed Zeeshan, Rahmat Ellahi
{"title":"Regression analysis for thermal transport of fractional-order magnetohydrodynamic Maxwell fluid flow under the influence of chemical reaction using integrated machine learning approach","authors":"Waqar Ul Hassan, Khurram Shabbir, Ahmed Zeeshan, Rahmat Ellahi","doi":"10.1016/j.chaos.2024.115927","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115927","url":null,"abstract":"An innovative idea of regression analysis based on machine learning technique for magnetohydrodynamic flow of Maxwell fluid within a cylinder is proposed. Mean Squared Error is used for the simulation of heat transfer and fluid flow. The governing flow equations involving a system of coupled, nonlinear fractional partial differential equations are solved by homotopic approach called HPM. The predicted solution is obtained with Python built-in code on Google-Colab. The effects of Atangana-Baleanu fractional time order derivative on the momentum, thermal, and concentration boundary layer are analyzed. It is observed that the momentum boundary layer gets higher and higher by increasing the values of Atangana-Baleanu fractional time order derivative. The thermal boundary layer shows improvement with the increasing value of the Peclet number. The concentration boundary layer thickness declines with the growing values of chemical reactions. The validation of results is examined by MSE, function fit, and correlation index.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"54 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857554","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
Exploring the equilibrium dynamics of an infinitesimal body in the perturbed problem of five bodies
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-19 DOI: 10.1016/j.chaos.2024.115873
Md Sanam Suraj, Elbaz I. Abouelmagd, Mani Bhushan, Md Chand Asique
{"title":"Exploring the equilibrium dynamics of an infinitesimal body in the perturbed problem of five bodies","authors":"Md Sanam Suraj, Elbaz I. Abouelmagd, Mani Bhushan, Md Chand Asique","doi":"10.1016/j.chaos.2024.115873","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115873","url":null,"abstract":"This work aims to analyze the dynamics of the restricted five-body problem when the primaries are non-spherical spheroids. We explored numerically three different scenarios: (i) when only the main body creates a potential with either oblateness or prolateness effect; (ii) when only peripheral bodies generate potentials with either oblateness or prolateness effects; and (iii) when all the primary bodies create potentials with either oblateness or prolate effects. We conducted a numerical analysis to study the motion of infinitesimal body under the gravitational influence of four non-spherical primaries. In this analysis, we revealed that the oblate or prolate bodies significantly affect the dynamics of the equilibrium points (EPs), their linear stability, and permissible regions of motion. Furthermore, we demonstrate that the total number of EPs depends on the mass parameter, the oblateness and prolateness parameters or the combinations of these parameters. The specific ranges of oblateness or prolateness values where the equilibrium points are linearly stable are also found.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"104 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857556","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
Stochastic pumping of nonlinear modulated waves
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-19 DOI: 10.1016/j.chaos.2024.115896
Natalia V. Kuznetsova, Denis V. Makarov, Alexey V. Slunyaev, Efim N. Pelinovsky
{"title":"Stochastic pumping of nonlinear modulated waves","authors":"Natalia V. Kuznetsova, Denis V. Makarov, Alexey V. Slunyaev, Efim N. Pelinovsky","doi":"10.1016/j.chaos.2024.115896","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115896","url":null,"abstract":"The stochastic nonlinear Schrödinger equation with time- and space-correlated forcing in the form of additive noise is used for modeling the nonlinear evolution of modulationally unstable irregular waves. The additive noise leads to the growth of the wave energy giving rise to abnormally high waves (rogue waves). In the nonlinear regime the increase of the average wave energy occurs much more slowly as compared to the linear regime, but the probability of rogue waves greatly increases during the transient stage of developing modulational instability. The stochastic noise leads to softening of the evolution of all spectral and statistical characteristics, and can significantly change the variation of the fourth statistical moment, but reduces the peak probability of extreme waves just a bit. The results are discussed in application to the wind-generated surface waves in the ocean, where the considered mechanism is responsible for stochastic fluctuations of the surface pressure.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"30 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857555","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
Multilayer network framework and metrics for table tennis analysis: Integrating network science, entropy, and machine learning
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-18 DOI: 10.1016/j.chaos.2024.115893
Honglin Song, Yutao Li, Pengyu Pan, Bo Yuan, Tianbiao Liu
{"title":"Multilayer network framework and metrics for table tennis analysis: Integrating network science, entropy, and machine learning","authors":"Honglin Song, Yutao Li, Pengyu Pan, Bo Yuan, Tianbiao Liu","doi":"10.1016/j.chaos.2024.115893","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115893","url":null,"abstract":"This study introduces two novel metrics within table tennis technical-tactical networks: technical decision-making style (TDS) and connecting technical style (CTS), inspired by the entropy concept, to quantify players' technical-tactical styles. This study proposes a multilayer technical-tactical network framework to capture interactive information and technique-to-technique confrontations between players. Additionally, we develop four new metrics—absorbing rate, releasing rate, stalemate rate, and usage rate—based on three states within table tennis matches: scoring, losing, and stalemate, to analyze inter-links within these networks. The champion table tennis player, who won gold medals in both the 2016 Rio Olympics and the 2020 Tokyo Olympics, and his opponents were analyzed in 5054 technical actions during these events. Metrics such as TDS, CTS, out-degree centrality (ODC), and in-degree centrality (IDC) within the networks were calculated. We also created datasets for TDS, CTS, ODC, and IDC and employed six machine learning algorithms for modeling. The results indicate that nodes utilizing TDS and CTS demonstrate superior predictive accuracy for game outcomes compared to those using ODC and IDC. SHAP analysis revealed the feature importance in the best-performing models for TDS and CTS, revealing non-linear relationships between the TDS and CTS values of each key node and game outcomes. The analysis of the multilayer network offers insights into the dynamic interactions between the champion player and his opponents, enhancing our understanding of the key factors influencing match victories. By integrating network science, entropy, and machine learning, this study presents a comprehensive framework and practical metrics for match analysis, with potential implications in performance analyses of other racket sports.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"64 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857622","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
Impact of pump power on Lyot filtering effect in mode-locked fiber lasers
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-18 DOI: 10.1016/j.chaos.2024.115922
Luyao Zhou, Lie Liu, Ying Han, Honglin Wen, Yingying Li, Qi Li, Chunyang Ma, Ge Wu, Bo Gao
{"title":"Impact of pump power on Lyot filtering effect in mode-locked fiber lasers","authors":"Luyao Zhou, Lie Liu, Ying Han, Honglin Wen, Yingying Li, Qi Li, Chunyang Ma, Ge Wu, Bo Gao","doi":"10.1016/j.chaos.2024.115922","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115922","url":null,"abstract":"Filtering effects, which can achieve multi-wavelength in mode-locked fiber lasers, are currently being investigated, including communications and industry. In this study, we systematically investigate the impact of pump power on the operation of the filter in mode-locked fiber lasers. An all-normal dispersion ytterbium-doped fiber laser was employed to investigate hybrid filtering structures combining a Lyot filter and a nonlinear optical loop mirror (NOLM), both experimentally and theoretically. Furthermore, we identified a specific pump power range, from 570.5 mW to 748.9 mW, within which the Lyot filter operates effectively, facilitating transitions between single- and multi-wavelength outputs. We theoretically explain how pump power governs the operational state of the Lyot filter, enabling precise control over spectral modulation. This work demonstrates the influence of power on filtering and presents a versatile nonlinear system for generating and analyzing multi-wavelengths, facilitating the optimization and customization of the output spectrum.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"51 2 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857557","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 emergence of multi-scroll chaotic rotating waves in a ring of threshold controller based coupled non-autonomous chaotic oscillators
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-18 DOI: 10.1016/j.chaos.2024.115919
P. Yogamarish, I. Raja Mohamed
{"title":"The emergence of multi-scroll chaotic rotating waves in a ring of threshold controller based coupled non-autonomous chaotic oscillators","authors":"P. Yogamarish, I. Raja Mohamed","doi":"10.1016/j.chaos.2024.115919","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115919","url":null,"abstract":"This paper introduces a novel ring of three identical second-order non-autonomous oscillators, a unique configuration, that are coupled unidirectionally via threshold controllers. This configuration, with threshold controllers employed both within the oscillators and for coupling, facilitates the generation of multi-scroll chaotic rotating waves. The system demonstrates various dynamics, including periodic, quasi-periodic, and chaotic regimes, as control parameters are varied. It is delved into the transition from constant phase difference to phase synchronization using Hilbert transform analysis and investigated the underlying mechanisms driving these behaviours. The research is further validated through a rigorous process, including real-time analog simulation and numerical studies such as bifurcation diagrams and Lyapunov exponent analysis, ensuring the reliability of our findings.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"20 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857620","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
Contagion dynamics on growing simplicial complex networks via generalized degree vectors
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-18 DOI: 10.1016/j.chaos.2024.115920
Tianjiao Long, Lilan Tu, Juan Chen, Xianjia Wang, Yifei Guo
{"title":"Contagion dynamics on growing simplicial complex networks via generalized degree vectors","authors":"Tianjiao Long, Lilan Tu, Juan Chen, Xianjia Wang, Yifei Guo","doi":"10.1016/j.chaos.2024.115920","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115920","url":null,"abstract":"To reveal the influence of group interactions on contagion, and to accurately prevent and regulate contagion, this paper investigates the SIS contagion dynamics in complex networks with high-order interactions. First, this paper considers the synergistic effects of the first-order and second-order generalized degree of each node and proposes a novel algorithm to construct growing second-order simplicial complex networks based on generalized degree vectors, named GDV-GSC algorithm. The first-order and second-order generalized degree distributions of the networks newly achieved show heterogeneity. Then, using the microscopic Markov chain approach (MMCA), some SIS MMCA dynamics equations in the GDV-GSC network have been obtained. Monte Carlo (MC) results and MMCA numerical simulations confirm that the MMCA theoretical results are feasible and effective, and also indicate that the parameters for generating GDV-GSC network have limited effect on the contagion spreading when the effective contagion rate is either very low or very high. Further, a new method that is heterogeneous mean field approximation based on simplicial complex (called SC-HMF) to obtain epidemic threshold expressions is put forward. The MC simulation results verify the accuracy of the epidemic threshold expression and the occurrence of a bistability phenomenon, where the absorbing state and the bursting state coexist within a certain range of effective infectivity rates. Moreover, the second-order simplicial complex structures in the GDV-GSC network play a key role in determining the epidemic threshold.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"13 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857616","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
HTSC Josephson oscillator with inhomogeneous bias
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-18 DOI: 10.1016/j.chaos.2024.115907
L.S. Revin, A.L. Pankratov, A.E. Parafin, D.V. Masterov, S.A. Pavlov, A.V. Blagodatkin
{"title":"HTSC Josephson oscillator with inhomogeneous bias","authors":"L.S. Revin, A.L. Pankratov, A.E. Parafin, D.V. Masterov, S.A. Pavlov, A.V. Blagodatkin","doi":"10.1016/j.chaos.2024.115907","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115907","url":null,"abstract":"Properties of long Josephson junctions, fabricated from YBCO high-temperature superconducting thin films, are investigated experimentally and by numerical modeling. Since the junctions are placed into broadband log-periodic antennas, it poses limitations on junction’s bias feed properties, affecting their dynamics. It is shown that biasing junction at the output end, connected to the antenna, makes current–voltage characteristics more steep in comparison with biasing along the whole length and at the input end. The radiation properties of Josephson junctions are studied by receiving signals using dipole antenna array with cold electron bolometers. Broadband frequency tuning of the oscillator with radiation up to 800 GHz, being restricted by the receiver antenna range, is demonstrated. It is shown that for the considered junction lengths and bias feed types, the maximal radiation power varies weakly, leading to a high bolometric response.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"201 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857617","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
Two-memristor-based maps with infinitely many hyperchaotic attractors
IF 7.8 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-12-18 DOI: 10.1016/j.chaos.2024.115904
Iram Hussan, Manyu Zhao, Xu Zhang
{"title":"Two-memristor-based maps with infinitely many hyperchaotic attractors","authors":"Iram Hussan, Manyu Zhao, Xu Zhang","doi":"10.1016/j.chaos.2024.115904","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115904","url":null,"abstract":"Since the memristor is a natural system with memory effects, the introduction of memristors into nonlinear systems brings very different dynamics compared with classical ones, and inspires the development of applications of memristors. In this article, a kind of maps via the combination of two memristors is studied. This class of memristive maps is three-dimensional (3D) and has the coexistence of infinitely many hyperchaotic attractors under certain conditions, where each attractor has two positive Lyapunov exponents.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"29 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857621","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
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