Chaos Solitons & Fractals最新文献

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Driving a Josephson Traveling Wave Parametric Amplifier into chaos: Effects of a non-sinusoidal current–phase relation 驱动约瑟夫森行波参量放大器陷入混沌:非正弦电流相位关系的影响
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-10 DOI: 10.1016/j.chaos.2024.115598
{"title":"Driving a Josephson Traveling Wave Parametric Amplifier into chaos: Effects of a non-sinusoidal current–phase relation","authors":"","doi":"10.1016/j.chaos.2024.115598","DOIUrl":"10.1016/j.chaos.2024.115598","url":null,"abstract":"<div><div>We tackled the numerical analysis of the dynamic response of a Josephson Traveling Wave Parametric Amplifier (JTWPA) by varying the driving parameters, with a focus on the pathways leading to chaotic behavior. By tuning the working conditions, we explore the broad spectrum of dynamical regimes accessible to JTWPAs, delineating the conditions under which transition to chaos occurs. Furthermore, we extend our investigation to junctions characterized by a non-sinusoidal current phase relation (CPR) and explore the consequences on the amplifier’s performance. Through the study of gain characteristics, Poincaré sections, and Fourier spectra, we provide an in-depth understanding of how CPR nonlinearity and nonsinusoidality influence the operational effectiveness and stability of JTWPAs. This investigation offers insights into optimizing the device for enhanced performance and robustness against chaotic disruptions, in order to establish a framework for predicting and controlling JTWPA behavior in practical applications. In fact, we identify the regions in the parameter space where the input signal is maximally amplified without excessive noise or undesired harmonics. This effort paves the way for the development of devices with tailored dynamic responses and for advancements in quantum computing and precision measurement technologies, where stability and high fidelity are of paramount importance.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new two-parameter controllable multi-scroll 4D Hamiltonian conservative hyperchaotic system with improved nested COS-PWL function 具有改进嵌套 COS-PWL 功能的新型双参数可控多卷 4D 哈密顿保守超混沌系统
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-10 DOI: 10.1016/j.chaos.2024.115585
{"title":"A new two-parameter controllable multi-scroll 4D Hamiltonian conservative hyperchaotic system with improved nested COS-PWL function","authors":"","doi":"10.1016/j.chaos.2024.115585","DOIUrl":"10.1016/j.chaos.2024.115585","url":null,"abstract":"<div><div>A new two-parameter controllable multi-scroll Hamiltonian conservative hyperchaotic system is proposed in this paper. By utilizing an improved nested cosine-piecewise linear (COS-PWL) saturation function in combination with a 4D Hamiltonian conservative system, a 4D Hamiltonian conservative hyperchaotic system that can regulate multi-scroll according to two parameters is proposed. Compared with the nested Sine-PWL function, the system can produce hyperchaos. And the control parameter is more than just the saturation value <span><math><mi>E</mi></math></span>, the gain <span><math><mi>p</mi></math></span> is more sensitive to the wider control range of the system’s multi-scroll. The effect of the variation of the saturation value <span><math><mi>E</mi></math></span> and gain <span><math><mi>p</mi></math></span> of the control parameters on the phase trajectories of the multi-scroll is consistent with the behavior of the Lyapunov exponents (LEs) and bifurcations. Finally, we successfully constructed the system via the DSP hardware platform, demonstrating its practicality.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419221","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
Application of the matrix element method: A mode-matching approach for wave-bearing cavities in complex media 矩阵元素法的应用:复杂介质中承波空腔的模式匹配方法
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-10 DOI: 10.1016/j.chaos.2024.115589
{"title":"Application of the matrix element method: A mode-matching approach for wave-bearing cavities in complex media","authors":"","doi":"10.1016/j.chaos.2024.115589","DOIUrl":"10.1016/j.chaos.2024.115589","url":null,"abstract":"<div><div>The present study employs an analytical scheme useful for investigating the reflection, transmission, and absorption of fluid–structure coupled waves in a dissipative device with flexible boundaries. The method is based on contour integration, which avoids the cumbersome root-finding processes for complex dispersion relations, thereby eliminating the error of missing roots. The procedure involves applying the mode matching technique along with the generalized orthogonality relation to transform the differential system into linear algebraic systems. The matrix elements involve unknown wavenumbers in the finite chamber with wave-bearing boundaries and porous material filling the cavity region, separated from air by a screen. Due to the absorbing properties of the medium, the wavenumbers are complex, and the matrix elements are reformulated using contour integration without needing explicit information about the wavenumbers. It is found that by changing the properties of absorbent material and membrane parameters the attenuation behavior can be optimized.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419279","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 limit cycles in the Kim–Forger model of the mammalian circadian clock 哺乳动物昼夜节律钟金-福格模型中的三个极限周期
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-10 DOI: 10.1016/j.chaos.2024.115593
{"title":"Three limit cycles in the Kim–Forger model of the mammalian circadian clock","authors":"","doi":"10.1016/j.chaos.2024.115593","DOIUrl":"10.1016/j.chaos.2024.115593","url":null,"abstract":"<div><div>The Kim–Forger model is a fundamental mathematical model for understanding circadian rhythms. The limit cycles presented in the model is the dynamic mechanism of the periodic phenomena in the mammalian circadian clock. However, the full dynamics of the Kim–Forger model remain not completely understood. In this paper, we theoretically demonstrate that this model can undergo supercritical Hopf bifurcation, subcritical Hopf bifurcation, and generalized Hopf bifurcation of codimension two. Numerically, the system can exhibit 0, 1, 2, or 3 limit cycles. Our work complements and enriches the dynamical insights in the field of circadian rhythms.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419224","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
Elite women's soccer match demand can be described using complexity-based analyses and multifractals 可以利用基于复杂性的分析和多分形来描述精英女子足球比赛的需求
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-09 DOI: 10.1016/j.chaos.2024.115612
{"title":"Elite women's soccer match demand can be described using complexity-based analyses and multifractals","authors":"","doi":"10.1016/j.chaos.2024.115612","DOIUrl":"10.1016/j.chaos.2024.115612","url":null,"abstract":"<div><div>The present study aimed to investigate the variability of the displacements in elite women soccer players during official matches according to the position of the players and to the match progression using non-linear analyses (entropy and multifractal spectrum).</div><div>Sixty-three velocity profiles from global positioning devices of elite professional women soccer players were analyzed. The mean, coefficient of variation, and maximum velocity were calculated during the match using four equal segments. Sample entropy and seven parameters derived from the multifractal detrended fluctuation analysis were also calculated. The players were split into five field playing positions: forwards (<span><span>FW</span></span>), offensive midfielders (<span><span>OM</span></span>), defensive midfielders (<span><span>DM</span></span>), central defenders (<span><span>CD</span></span>), and lateral defenders (LD).</div><div>No significant playing position × period interaction was found for the different parameters analyzed. However, most parameters showed a significant main effect for playing position (<em>p</em> &lt; .01) and period (<em>p</em> &lt; .01). Compared to the other players, FW and OM have the lowest entropy. All players showed a dominance of small velocity fluctuations but FW players showed the widest multifractal spectrum primarily. In contrast, CD had a narrow spectrum and reduced amount of small fluctuations. As the game progressed, mean velocity and entropy significantly decreased. In contrast, the multifractal peak value significantly alongside with changes in asymmetry.</div><div>From the present results, velocity profiles during elite women's soccer games depicted multifractal features sensitive to player position and match segment, which can help to understand the dynamics and variability of players' responses during a match.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Jams and phase transitions in heterogeneous lattice model integrating the continuous delayed feedback control to boycott cyber-attacks under connected autonomous and human driven vehicles environment 在互联的自动驾驶和人工驾驶车辆环境下,异构晶格模型中的卡塞和相变,集成了抵制网络攻击的连续延迟反馈控制技术
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-08 DOI: 10.1016/j.chaos.2024.115606
{"title":"Jams and phase transitions in heterogeneous lattice model integrating the continuous delayed feedback control to boycott cyber-attacks under connected autonomous and human driven vehicles environment","authors":"","doi":"10.1016/j.chaos.2024.115606","DOIUrl":"10.1016/j.chaos.2024.115606","url":null,"abstract":"<div><div>As traffic systems are becoming increasingly interconnected and automated, the heterogeneous traffic flow consisting of the connected autonomous vehicles (CAVs) and human driven vehicles (HDVs) will be the main mode of transportation. But, CAVs face significant susceptibility to malicious cyber-attacks, which could cause worse traffic jams and accidents. Thus, utilizing the lattice hydrodynamic framework, we create an innovative lattice model by integrating a continuous delay feedback control to mitigate the negative impact of cyber-attacks on the heterogeneous traffic flow. Through theoretical analysis involving linear stability analysis and nonlinear analysis, we derive the neutral stability condition and modified KdV equation of new lattice model. Additionally, numerical simulation is carried out to check the theoretical results. Simulation results show that the stability of heterogeneous traffic flow descends or the roadway efficiency diminishes after an attacker tampers with the density information received from CAVs. However, the designed control method can effectively resist the interference of cyber-attacks on heterogeneous traffic flow and improve traffic system stability and efficiency. Moreover, we firstly quantitatively assess the stability of traffic flow via the methodologies of power spectrum analysis and spectral entropy, offering valuable insights for the refinement of traffic management paradigms.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419264","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
Disordered FPUT-α Hamiltonian Lattices: Recurrence breakdown and chaotic behavior 无序 FPUT-α 哈密顿晶格:递归崩溃和混沌行为
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-07 DOI: 10.1016/j.chaos.2024.115570
{"title":"Disordered FPUT-α Hamiltonian Lattices: Recurrence breakdown and chaotic behavior","authors":"","doi":"10.1016/j.chaos.2024.115570","DOIUrl":"10.1016/j.chaos.2024.115570","url":null,"abstract":"<div><div>This paper studies a modified Fermi–Pasta–Ulam-Tsingou (FPUT)-<span><math><mi>α</mi></math></span> Hamiltonian lattice, where variability is introduced to the system through the potential parameters. By a transformation, the system is equivalent to the FPUT-<span><math><mi>α</mi></math></span> lattice with random masses. We fix the energy level and investigate how energy recurrences disappear as the percentage of variability increases from zero. We observe that the disappearance of energy recurrences leads to either localization or thermalization of normal-mode energy. When energy localization occurs, we derive a two-mode system by using multiple-scale expansions to explain the route to localization as the percentage of variability increases. Furthermore, we investigate the chaotic behavior of the system by computing the maximum Lyapunov exponent for different percentages of variability. Our results show that the number of particles increases the chances of observing chaotic dynamics for small percentages of variability. Meanwhile, the effect reverses as the percentage of variability introduced to the system rises from zero.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419261","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
Fractal dimensions of discrete Moran sets 离散莫兰集的分形维数
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-07 DOI: 10.1016/j.chaos.2024.115595
{"title":"Fractal dimensions of discrete Moran sets","authors":"","doi":"10.1016/j.chaos.2024.115595","DOIUrl":"10.1016/j.chaos.2024.115595","url":null,"abstract":"<div><div>Fractal dimensions and the iterated function system play important roles in Fractal Geometry on Euclidean spaces. On discrete metric space, fractal dimensions and the reverse iterated function system were introduced in the 1990’s. In this article, we discuss a family of discrete fractals with Moran structures inspired by Wen’s work and study formulas of their fractal dimensions. Moreover, we obtain the fractal dimensions for Moran classes generated by Sturmian sequence.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419257","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
Multiple-image encryption algorithm based on a new composite chaotic system and 3D coordinate matrix 基于新型复合混沌系统和 3D 坐标矩阵的多图像加密算法
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-07 DOI: 10.1016/j.chaos.2024.115587
{"title":"Multiple-image encryption algorithm based on a new composite chaotic system and 3D coordinate matrix","authors":"","doi":"10.1016/j.chaos.2024.115587","DOIUrl":"10.1016/j.chaos.2024.115587","url":null,"abstract":"<div><div>The image encryption technology is an important means to ensure network digital data transmission security. To improve the security and encryption computational efficiency, this paper proposes a new chaos-based image encryption algorithm. First, a new two-dimensional chaotic system is designed by coupling Sine and Henon maps. Comparative tests with other chaotic maps are conducted, and the results show that the new hybrid chaotic map has better chaotic performance in terms of the bifurcation diagram, Lyapunov exponent, sensitivity, etc.; second, a three-dimensional coordinate matrix is designed by the new chaotic system for the scrambling operation of multiple images; finally, the exclusive OR operation based on chaotic system is used for the pixel diffusion to obtain encrypted images. Experimental results show that the histograms of the encrypted images are even and the correlation coefficients approach 0. Meanwhile, the proposed algorithm can effectively resist the chosen plaintext attack, brute force attack, clipping attack, salt and pepper noise attack, etc.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419262","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
Analysis of nonlinear complex heat transfer MHD flow of Jeffrey nanofluid over an exponentially stretching sheet via three phase artificial intelligence and Machine Learning techniques 通过三相人工智能和机器学习技术分析杰弗里纳米流体在指数拉伸片上的非线性复杂传热 MHD 流动
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2024-10-07 DOI: 10.1016/j.chaos.2024.115600
{"title":"Analysis of nonlinear complex heat transfer MHD flow of Jeffrey nanofluid over an exponentially stretching sheet via three phase artificial intelligence and Machine Learning techniques","authors":"","doi":"10.1016/j.chaos.2024.115600","DOIUrl":"10.1016/j.chaos.2024.115600","url":null,"abstract":"<div><div>The aim of this study is to propose an innovative three-phase Artificial Intelligence (AI) and Machine Learning (ML) techniques for nonlinear dynamics for thermal analysis of magnetohydrodynamics Jeffrey nanofluid over an exponentially stretching sheet under radiation effects. An artificial intelligence-based scheme, namely Levenberg-Marquardt with back propagation Neural Network approach (LMS-BPNN), is used. Similarity transformations are used to convert nonlinear governing partial differential equations (PDEs) into ordinary differential equations (ODEs). The resulting ODEs are solved by computation software MATLAB with bvp4c solver. The accuracy of the proposed LMS-BPNN is compared with ML solution of boundary layer flow. Moreover, the effects of physical parameters on the momentum, thermal and concentration boundaries layers are examined under four scenarios. The validity and accuracy are examined with Mean Square Error (MSE), function fit, and correlation index. It is observed that the thickness of Momentum Boundary Layer (MBL) increases by increasing the order of stretching/shrinking parameter and magnetic field intensity. The temperature variation and skin fraction increase by increasing the values of Biot number and magnetic field respectively. The Artificial Neural Network (ANN) model demonstrated incredible accuracy, with an error range of <span><math><msup><mn>10</mn><mrow><mo>−</mo><mn>8</mn></mrow></msup></math></span> to <span><math><msup><mn>10</mn><mrow><mo>−</mo><mn>6</mn></mrow></msup></math></span>. The regression values closer to 1 show that the predictions and the actual data match well, while the regression values nearer to 0 indicate that the model has difficulty in identifying the underlying patterns. It is also noted that, if the hidden layers are selected correctly, the model produces accurate results.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419263","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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