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Football as Foraging? Movements by Individual Players and Whole Teams Exhibit Lévy Walk Dynamics 足球就像觅食?球员个人和全队的移动均表现出列维漫步动力学特征
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-19 DOI: 10.1155/cplx/3196780
Ivan Shpurov, Tom Froese, Takashi Ikegami

Many organisms, ranging from modern humans to extinct species, exhibit movement patterns that can be described by Lévy walk dynamics. It has been demonstrated that such behavior enables optimal foraging when resource distribution is sparse. Here, we analyze a dataset of football player trajectories, recorded during the matches of the Japanese football league, to elucidate the presence of statistical signatures of Lévy walks, such as the heavy-tailed distribution of distances traveled between significant turns and the characteristic superdiffusive behavior. We conjecture that the competitive environment of a football game leads to bursty movement dynamics reminiscent of that observed in hunter-gathering populations and more broadly in any biological organisms foraging for resources, whose exact distribution is unknown to them. Apart from analyzing individual players’ movements, we investigate the dynamics of the whole team by studying the movements of its center of mass (team’s centroid). Remarkably, the trajectory of the centroid also exhibits Lévy walk properties, marking the first instance of such type of motion observed at the group level. Our work concludes with a comparative analysis of different teams and some discussion on the relevance of our findings to sports science and science more generally.

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引用次数: 0
New Discovery of the Emergence Mechanism of High Clustering Coefficients 高聚类系数出现机制的新发现
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-19 DOI: 10.1155/cplx/1039752
Jun Ying, Chuankui Yan, Shouyan Wu

In our statistical analysis, we have discovered that the distance distribution (referring to Euclidean distance) of many real networks follows certain patterns, especially the distances between connected nodes obey a scale-free distribution. However, the classic BA model does not exhibit this characteristic. Furthermore, existing network models are mostly evolved based on degree-preference mechanisms, without considering the potential influence of factors such as edge weights like spatial geographical factors on node-edge connections in real networks. Taking distance-weighted preferences as an example, this study proposes a network evolution model based on distance preference connections as the fundamental mechanism. By applying probability theory and mean-field theory, the model’s degree distribution is calculated to be exponential, with a clustering coefficient greater than that of the BA model and consistent with data from some real networks. Our model reveals that this distance preference mechanism may be the fundamental mechanism underlying the emergence of high clustering in real networks. Additionally, by incorporating degree-preference connection mechanisms, the model is further analyzed and improved to better match actual network evolution behaviors. The research results provide a possible explanation for resolving the controversy surrounding the scale-free nature of networks.

在统计分析中,我们发现许多真实网络的距离分布(指欧氏距离)都遵循一定的规律,尤其是连接节点之间的距离服从无标度分布。然而,经典的 BA 模型却没有表现出这一特征。此外,现有的网络模型大多是基于度偏好机制演化而来的,没有考虑到边缘权重等因素对真实网络中节点-边缘连接的潜在影响,如空间地理因素。本研究以距离加权偏好为例,提出了以距离偏好连接为基本机制的网络演化模型。通过应用概率论和均场论,计算出该模型的度分布为指数分布,聚类系数大于 BA 模型,并与一些真实网络的数据相一致。我们的模型揭示了这种距离偏好机制可能是真实网络中出现高聚类的基本机制。此外,通过结合程度偏好连接机制,我们进一步分析和改进了模型,使其更符合实际的网络演化行为。研究成果为解决围绕网络无标度性质的争议提供了可能的解释。
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引用次数: 0
Study on the Mechanism of Rock Brazilian Disk Splitting Based on the Constitutive Model With Different Tensile and Compressive Moduli
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-19 DOI: 10.1155/cplx/4790930
Liu Pengcheng, Xing Minglu, Chen Shiwei, Zhang Yubao, Li Longfei

Due to the significant tension–compression asymmetry of rocks, the disparity between the results of Brazilian splitting tests and those derived from the linear elastic constitutive theory has been a topic of extensive discussion. In order to delve into the stress–strain field evolution and crack propagation process of Brazilian splitting tests under tension–compression varying modulus constitutive models, finite element software was employed. By means of self-developed subroutines, a method was employed to control the rock’s tension and compression with different modulus. Comparative analysis was conducted to scrutinize the distinctions between linear elastic constitutive models and variational modulus constitutive models. The results elucidate that under the variational modulus constitutive model: (1) Stress concentration in the x-direction does not occur at the center of the rock but is offset toward the two sides of the rock loading end, with stress peaks similar to linear elasticity; (2) under the variable modulus constitutive model, shear effects are pronounced at both ends of the rock loading axis, and initial cracks in the rock originate near the two sides of the loading end, forming initial cracks of tensile-shear mixed mode; and (3) due to the influence of shear stresses at both ends of the rock loading, the ultimate load of the rock is lower than that of a linear elastic structure, and the calculated tensile strength is lower than the true strength of the rock.

由于岩石具有明显的拉压非对称性,巴西劈裂试验结果与线性弹性构造理论推导结果之间的差异一直是广泛讨论的话题。为了深入研究巴西劈裂试验在拉伸-压缩不同模量构成模型下的应力-应变场演变和裂缝扩展过程,我们采用了有限元软件。通过自主开发的子程序,采用不同模量控制岩石的拉伸和压缩。通过对比分析,仔细研究了线性弹性构造模型和变模量构造模型之间的区别。结果表明,在变模量构造模型下(1) x 方向的应力集中不发生在岩石中心,而是向岩石加载端两侧偏移,应力峰值与线弹性相似;(2) 在变模量构成模型下,岩石加载轴两端的剪切效应明显,岩石的初始裂缝起源于加载端两侧附近,形成拉剪混合模式的初始裂缝;(3) 由于岩石加载两端的剪应力影响,岩石的极限荷载低于线弹性结构的极限荷载,计算的抗拉强度低于岩石的真实强度。
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引用次数: 0
Unraveling Spatial Dynamics of Urban Complexity Between Land Use Patterns and Travel Behavior Using Structural Equation Modeling
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-12-17 DOI: 10.1155/cplx/4458996
Abdulla Al Kafy, Md. Abdul Fattah, Mahir Shahrier, Hamad Ahmed Altuwaijri

Rapid urbanization and inadequate transportation infrastructure in developing countries have led to complex, unsustainable travel patterns and adverse environmental impacts. This study employs structural equation modeling (SEM) to explore the interplay between land use patterns and travel behavior in Rajshahi, Bangladesh. Analyzing data from 1298 respondents, we uncovered intricate relationships between sociodemographic, economic, and spatial factors. The SEM revealed that economic characteristics had the highest total effect (0.674) on travel behavior, followed by land use (0.521). Notably, accessibility negatively correlated with economic (−0.70) and sociodemographic factors (−0.91). The residential environment emerged as the most significant land use indicator, with a weight of 1.820. Our analysis found that 31% of trips used easy bikes, while 23% were on foot. The employment rate positively impacted economic characteristics (1.270), despite the considerable weight of total household income (0.874). Key findings indicate that economic characteristics and land use patterns are the primary drivers of travel behavior, highlighting the need for integrated urban planning. This study provides a nuanced understanding of urban complexity, offering valuable insights for sustainable transportation planning in developing cities. By elucidating the nonlinear interactions between various urban elements, our research contributes to the growing field of complex systems analysis in urban transportation contexts.

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引用次数: 0
Transfer Payments and Regional Total Factor Productivity: Evidence From China 转移支付与地区全要素生产率:来自中国的证据
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-26 DOI: 10.1155/2024/8045857
Zhiwei Cao, Baijun Wu, Sha Liu

Through theoretical analysis and empirical test, the following conclusions are drawn: Firstly, the benchmark test proves that transfer payments (TPs) significantly promote regional TFP. Secondly, the conclusions of this paper are still valid after using the system GMM model and instrumental variable method to deal with the endogeneity problem. Thirdly, heterogeneity analysis shows that TPs have a greater impact on TFP in the central and western regions, and general TPs and special TPs significantly promote regional TFP. Fourthly, mechanism analysis shows that TPs promote regional TFP through two channels: narrowing the financial gap between local governments and reducing the vertical fiscal imbalance between central and local governments. Because the balanced distribution of financial resources means the effective supply of public goods, all regions have the conditions to optimize the allocation of resources and improve the efficiency of resource use. Based on this, it is still necessary to implement the TPs system. Also, there is a need to optimize the TP rules.

通过理论分析和实证检验,得出以下结论:首先,基准检验证明转移支付显著促进了地区全要素生产率。第二,在使用系统 GMM 模型和工具变量法处理内生性问题后,本文的结论仍然有效。第三,异质性分析表明,全要素生产率对中西部地区全要素生产率的影响更大,一般全要素生产率和特殊全要素生产率对地区全要素生产率的促进作用明显。第四,机制分析表明,技术性贸易壁垒通过两个渠道促进地区全要素生产率:缩小地方政府之间的财政差距和减少中央与地方政府之间的纵向财政失衡。由于财政资源的均衡分配意味着公共产品的有效供给,各地区都有条件优化资源配置,提高资源利用效率。在此基础上,仍有必要实施贸易点制度。同时,还需要优化贸易点规则。
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引用次数: 0
Quantification of the Synergistic Inhibitory Effects of an Oncolytic Herpes Virus Plus Paclitaxel on Anaplastic Thyroid Cancer Cells 肿瘤溶解性疱疹病毒与紫杉醇对无性甲状腺癌细胞协同抑制作用的定量分析
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-21 DOI: 10.1155/cplx/3899849
Anna Park, Jong Hyuk Byun, Il Hyo Jung, Shingo Iwami, Kwang Su Kim

Conventional synergy theory explains the inhibitory effects of drug combinations at specific times. Determining the magnitude of inhibition is crucial for exploring the synergy effect. In the results of previous studies, the Chou–Talalay multiple drug effect analysis demonstrated that the combination of a mutant oncolytic herpes virus (G207) and the chemotherapeutic agent (paclitaxel) is the most effective strategy for treating anaplastic thyroid cancer, compared to other combinations such as G207 and NV1023 or paclitaxel and doxorubicin. However, the mechanism behind the synergy effect of G207 and paclitaxel remains unknown, and measuring the synergy effect over time is challenging and expensive. In this study, we formulated a mathematical model to quantify the synergy of G207, paclitaxel, and both over time using the dataset. We conducted a Bayesian estimation of tumor cell proliferation over 16 days using Markov chain Monte Carlo sampling. The Bliss independence was incorporated into the model to compare the observed and expected responses to combination therapy. The expected antitumor effect was significantly lower than the experimental data, suggesting a synergistic effect. Our result showed that the antitumor effect was influenced by the rate of inhibition of tumor growth and the absolute growth delay. Additionally, we found that combination therapy achieved an additional 24% antitumoral effect and a 12-day delay in cell growth. This modeling approach suggests the possibility of quantifying synergistic effects.

传统的协同作用理论解释了药物组合在特定时间的抑制作用。确定抑制作用的大小是探索协同效应的关键。在以往的研究结果中,Chou-Talalay 多药效应分析表明,与其他组合(如 G207 和 NV1023 或紫杉醇和多柔比星)相比,突变体溶瘤疱疹病毒(G207)和化疗药物(紫杉醇)的组合是治疗无性甲状腺癌最有效的策略。然而,G207 和紫杉醇的协同效应背后的机制仍不清楚,而且随着时间的推移测量协同效应具有挑战性且成本高昂。在本研究中,我们利用数据集建立了一个数学模型,以量化 G207、紫杉醇和两者随时间变化的协同效应。我们使用马尔科夫链蒙特卡洛抽样对 16 天内的肿瘤细胞增殖进行了贝叶斯估计。在模型中加入了布利斯独立性,以比较联合疗法的观察反应和预期反应。预期抗肿瘤效果明显低于实验数据,这表明存在协同效应。我们的研究结果表明,抗肿瘤效果受肿瘤生长抑制率和绝对生长延迟的影响。此外,我们还发现,联合疗法的抗肿瘤效果提高了 24%,细胞生长延迟了 12 天。这种建模方法为量化协同效应提供了可能。
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引用次数: 0
Performance Evaluation of Control Strategies for Autonomous Quadrotors: A Review 自主四旋翼飞行器控制策略的性能评估:综述
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-20 DOI: 10.1155/2024/8820378
Hamid Hassani, Anass Mansouri, Ali Ahaitouf

The recent progress in the fields of sensor miniaturization, light materials, automatic control, and battery management systems has opened up new opportunities for low-cost unmanned aerial vehicles (UAVs), such as quadrotors. In fact, quadrotors have transitioned from a primarily military application to being widely used almost everywhere. Evidently, controlling such robots requires a deep understanding of their dynamic behavior and the use of robust strategies to accomplish the flight missions without compromising users’ safety. This study presents a comprehensive survey of control strategies for unmanned quadrotors. In our examination, the performance assessment of widely used control algorithms is discussed. Furthermore, the concept of model-based design is presented as a solution for bridging the gap between simulation and experimental validation of control systems. It is anticipated that the present study will provide the reader with a clear vision of quadrotor UAV control theory.

传感器微型化、轻型材料、自动控制和电池管理系统等领域的最新进展,为四旋翼飞行器等低成本无人驾驶飞行器(UAV)带来了新的机遇。事实上,四旋翼无人机已从主要用于军事领域过渡到广泛应用于几乎所有领域。显而易见,控制此类机器人需要深入了解其动态行为,并使用稳健的策略来完成飞行任务,同时不影响用户的安全。本研究全面考察了无人驾驶四旋翼飞行器的控制策略。在研究中,我们讨论了广泛使用的控制算法的性能评估。此外,还提出了基于模型的设计概念,作为弥合控制系统模拟和实验验证之间差距的解决方案。预计本研究将为读者提供一个关于四旋翼无人机控制理论的清晰视角。
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引用次数: 0
Chaotic Image Encryption Scheme Based on Improved Z-Order Curve, Modified Josephus Problem, and RNA Operations: An Experimental Li-Fi Approach 基于改进的 Z 阶曲线、修改的约瑟夫问题和 RNA 运算的混沌图像加密方案:一种实验性 Li-Fi 方法
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-18 DOI: 10.1155/cplx/2910833
S. B. Nono Fotso, J. H. Talla Mbé, W. N. Atchoffo, A. C. Nzeukou, A. R. Ndjiongue

Image encryption schemes are predominantly software-based. Only a select few have been implemented in real-life communication systems. This paper introduces a novel chaotic image encryption scheme based on a modified Z-order curve, a modified Josephus problem, and an improved Vigenère cipher–based ribonucleic acid (RNA) operation. It is implemented and assessed within a light-fidelity (Li-Fi) infrastructure, comprising two core components: software and hardware. The software component manages data encryption and decryption, while the hardware ensures efficient data transmission. The proposed encryption scheme starts with a pixel-level permutation based on an improved Z-order curve, applicable to rectangular images, optimizing efficiency and increasing permutation ability. This is followed by a bit-level permutation using a modified Josephus problem, which enhances the diversity of generated sequences and introduces additional dislocation effects. Subsequently, a Vigenère cipher–based RNA operation serves for diffusion alongside basic RNA operations and the cipher block chaining (CBC) mode. Theoretical analyses and experimental findings demonstrate that the proposed encryption scheme is highly robust, outperforming several existing cryptosystems. Moreover, owing to its successful implementation, the proposed encryption scheme signifies a compelling stride toward bolstering secure visible light communication systems.

图像加密方案主要以软件为基础。只有少数几个方案已在实际通信系统中实施。本文介绍了一种新颖的混沌图像加密方案,该方案基于改进的 Z 阶曲线、改进的约瑟夫问题和改进的基于核糖核酸(RNA)运算的维根涅尔密码。该方案在光保真(Li-Fi)基础设施内实施和评估,包括两个核心组件:软件和硬件。软件部分管理数据加密和解密,而硬件部分则确保高效的数据传输。拟议的加密方案首先是基于改进的 Z 阶曲线的像素级置换,适用于矩形图像,优化了效率并提高了置换能力。随后,利用改进的约瑟夫问题进行比特级排列,从而增强生成序列的多样性,并引入额外的错位效应。随后,基于维基涅尔密码的 RNA 操作与基本 RNA 操作和密码块链(CBC)模式一起用于扩散。理论分析和实验结果表明,所提出的加密方案具有很强的鲁棒性,优于现有的几种密码系统。此外,由于其成功实施,所提出的加密方案标志着在加强安全可见光通信系统方面迈出了令人瞩目的一大步。
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引用次数: 0
Finite-Time Boundedness of Conformable Faulty Fuzzy Systems With Time Delay 有时间延迟的可变形故障模糊系统的有限时间有界性
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-15 DOI: 10.1155/2024/8594462
Mohamed Rhaima, Hamdi Gassara, Lassaad Mchiri, Abdellatif Ben Makhlouf

This article investigates the finite-time (FT) boundedness problem for the time delay (TD) Takagi–Sugeno fuzzy model (TSFM) with conformable derivative (CD) and in the presence of certain actuator faults. Through the reconstruction of an appropriate Lyapunov–Krasovskii functional, some sufficient conditions expressed by the linear matrix inequalities (LMIs) are given to ensure the FT boundedness of the proposed model not only during regular operation but also when encountering certain actuator faults. Finally, a numerical example and an inverted pendulum system are presented to illustrate our theoretical results.

本文研究了具有保形导数(CD)的时延(TD)高木-菅野模糊模型(TSFM)在存在某些执行器故障时的有限时间(FT)约束性问题。通过重构适当的 Lyapunov-Krasovskii 函数,给出了一些由线性矩阵不等式(LMI)表示的充分条件,以确保所提模型不仅在正常运行时,而且在遇到某些致动器故障时都具有 FT 约束性。最后,介绍了一个数值示例和一个倒立摆系统,以说明我们的理论结果。
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引用次数: 0
Spatiotemporal Differences in Regional Tourism Efficiency: An Empirical Study From Guangdong Province, China 区域旅游效率的时空差异:中国广东省的实证研究
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-11-14 DOI: 10.1155/2024/5781877
Haifei Wang

The focus on high-quality development in regional tourism involves not only transforming the previous extensive development model and improving the efficiency of tourism development but also promoting the coordinated development of the tourism industry across different regions. Taking the 21 prefecture-level cities in Guangdong Province as the research object and guided by high-quality development, a tourism efficiency measurement index system that includes carbon emissions as an unexpected output has been established. By comprehensively applying methods such as the Super-SBM model, LISA temporal path, and standard deviation ellipse, this study addresses the neglect of spatial relationships in the existing literature and measures the tourism efficiency of Guangdong’s 21 prefecture-level administrative units from 2009 to 2019, exploring its spatiotemporal evolution and collaborative trends. The results show that during the research period, the average tourism efficiency in Guangdong Province was 0.807, at a medium–high efficiency level. Spatially, the tourism efficiency of the province is composed of a main peak and side peaks, with a general leftward shift of the main peak, a fluctuating decrease in peak height, and an expanding width. The evolution of spatial patterns reveals that regions with similar tourism efficiency in Guangdong tend to be spatially concentrated, with strong local stability and clear spatial dependency in the change process of tourism efficiency. The study’s insights suggest strategies for Guangdong’s tourism sector, advocating for technological innovation, sustainable development practices, and a robust evaluation framework. It emphasizes leveraging regional tourism assets, fostering collaboration, and promoting the “Great Lingnan Tourism Circle” for a balanced industry growth.

全域旅游注重高质量发展,既要转变以往粗放型发展模式,提高旅游发展效率,又要促进旅游业跨区域协调发展。以广东省 21 个地级市为研究对象,以高质量发展为导向,建立了将碳排放作为意外产出的旅游效率测度指标体系。本研究综合运用Super-SBM模型、LISA时间路径、标准差椭圆等方法,针对现有文献忽视空间关系的问题,测算了广东省21个地级行政单位2009-2019年的旅游效率,探讨了其时空演变和协同趋势。结果表明,研究期间,广东省平均旅游效率为0.807,处于中高效率水平。从空间上看,全省旅游效率由主峰和侧峰构成,主峰总体左移,峰高波动下降,峰宽不断扩大。空间格局的演变揭示了广东旅游效率相近的地区在空间上趋于集中,旅游效率的变化过程具有较强的局部稳定性和明显的空间依赖性。该研究提出了广东旅游业的发展战略,倡导技术创新、可持续发展实践和健全的评估框架。研究强调利用区域旅游资产,促进合作,推动 "大岭南旅游圈",以实现行业的均衡发展。
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引用次数: 0
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