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Bilevel Network Modeling and Risk Transmission in Heterogeneous Financial Data 异构金融数据中的双层网络建模与风险传递
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-20 DOI: 10.1155/cplx/5253852
Suhang Wang, Yuhua Xu, Yifeng Wei

This study constructs a bilevel network model based on heterogeneous financial data to explore the complex network characteristics and risk transmission mechanisms in the stock market. Using the trading data and textual sentiment data of Shanghai Stock Exchange (SSE) 50 constituent stocks over the past 5 years, a daily return network model and a textual sentiment analysis network model are constructed, which are then combined to form a bilevel network. The study finds that the bilevel network model can more comprehensively capture the multidimensional relationships and risk transmission behaviors in the market, revealing the close connection between sentiment factors and returns. By analyzing the interlayer coupling characteristics of the bilevel network, we found that information and risks are efficiently transmitted between different network layers. This method not only provides a new perspective for financial market analysis but also offers a valuable theoretical basis and practical tools for risk management and market regulation. The results show that the bilevel network model has significant implications for understanding and preventing financial risks.

本文构建了基于异构金融数据的双层网络模型,探讨了股票市场的复杂网络特征和风险传导机制。利用上交所50只成分股近5年的交易数据和文本情绪数据,构建日收益网络模型和文本情绪分析网络模型,并将两者组合形成双层网络。研究发现,双层网络模型可以更全面地捕捉市场中的多维关系和风险传导行为,揭示情绪因素与收益之间的密切联系。通过分析双层网络的层间耦合特性,发现信息和风险在不同网络层之间有效传递。该方法不仅为金融市场分析提供了新的视角,而且为风险管理和市场监管提供了宝贵的理论基础和实践工具。结果表明,双层网络模型对理解和防范金融风险具有重要意义。
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引用次数: 0
Incorporating Memory Effects in Population Ecology Using Fractional Derivatives: Stability Perspectives, Bifurcations, and Chaos Control 利用分数阶导数将记忆效应纳入种群生态学:稳定性观点、分岔和混沌控制
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-11 DOI: 10.1155/cplx/7366836
S. M. Sohel Rana, Md. Jasim Uddin

This study investigates a discrete-time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3, and 1 : 4)—occurring at the positive fixed point to uncover their ecological significance. Bifurcation theory is applied to study these dynamics, and the theoretical findings are validated through numerical simulations performed with the MATLAB tool MatContM. In addition, a control mechanism is introduced to mitigate severe instabilities within the system. The results show that predation rate is key to ecological balance, while prey refuge has limited impact on stability. The study offers important insights for conserving biodiversity and managing ecosystems.

本研究研究了一个离散时间捕食者-猎物模型,该模型包括猎物庇护和记忆效应。该研究确定了定点存在并保持稳定的条件。重点分析了发生在正固定点的不同类型的分岔,如周期加倍(PD)、内马克-萨克(NS)和强共振(1:2、1:3和1:4),以揭示它们的生态意义。应用分岔理论对这些动力学进行了研究,并通过MATLAB工具MatContM进行了数值模拟,验证了理论结果。此外,还引入了一种控制机制来减轻系统内严重的不稳定性。结果表明,捕食率是生态平衡的关键,而猎物庇护对生态稳定的影响有限。这项研究为保护生物多样性和管理生态系统提供了重要的见解。
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引用次数: 0
The General Biological Relativity Theory and Multiscale Modeling of Living Systems as Complex Systems 广义生物相对论与生命系统作为复杂系统的多尺度建模
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-08 DOI: 10.1155/cplx/9981927
Winston Garira, Bothwell Maregere

The scientific community is aware that the great scientific revolution of this century will be the formulation of a theory of complex systems and formalize it in mathematical terms. In this article, we formulate a unified theory of living systems as complex systems called the general biological relativity theory, which states that at every level of organization of a living system, there is no privileged or absolute scale, which would determine the dynamics of the living system, only interactions between the biological space–time scales of a level of organization of the structurally organized living system form and the biological size–time scales of a microlevel–macrolevel class of levels of organization of the functionally organized living system form. To date, such a theory has found little content because there has been very little that has been established that is common about the multilevel and multiscale organization of living systems. Drawing on a structurally organized living system form of lymphatic filariasis disease system as an example, we illustrate how this theory can be applied to extend the conceptual and multiscale modeling framework of living systems as complex systems.

科学界已经意识到,本世纪最伟大的科学革命将是提出复杂系统的理论,并用数学术语将其形式化。在这篇文章中,我们将生命系统作为复杂系统建立了一个统一的理论,称为广义生物相对论,该理论指出,在生命系统的每一个组织水平上,没有特权或绝对的规模,这将决定生命系统的动力学,只有结构有组织的生命系统形式的某一组织层次的生物时空尺度与功能有组织的生命系统形式的某一组织层次的微观-宏观-类的生物尺度-时间尺度之间的相互作用。到目前为止,这样的理论还没有找到什么内容,因为关于生命系统的多层次和多尺度组织的普遍观点还很少。以淋巴丝虫病系统的结构组织生命系统形式为例,说明了该理论如何应用于扩展生命系统作为复杂系统的概念和多尺度建模框架。
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引用次数: 0
Text Classification of Multiple Datasets Based on Multidimensional Information 基于多维信息的多数据集文本分类
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-30 DOI: 10.1155/cplx/1970131
Hui Du, Hengguang Li, Guanghao Jin, Zhengchao Ding, JoonYoung Paik, Rize Jin

Multiple datasets enable a deep learning model to achieve a wide range of classifications, while the diversity of datasets reduces classification accuracy. To solve this problem, a method based on multidimensional information is proposed. The first dimension is the outputs of multiple models on different datasets. Through this information, we can predict the dataset that may contain the testing samples. The second one is the outputs of multiple models on the same dataset, through which the labels of testing samples can be classified. The third one is the distribution of labels on the same testing sample, which further increases accuracy. Experimental results show that our method achieves the best performance compared to the existing methods while ensuring good scalability.

多个数据集使深度学习模型能够实现广泛的分类,而数据集的多样性降低了分类的准确性。为了解决这一问题,提出了一种基于多维信息的方法。第一个维度是多个模型在不同数据集上的输出。通过这些信息,我们可以预测可能包含测试样本的数据集。第二种是同一数据集上多个模型的输出,通过它可以对测试样本的标签进行分类。三是将标签分布在同一检测样品上,进一步提高了准确性。实验结果表明,该方法在保证了良好的可扩展性的同时,取得了较好的性能。
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引用次数: 0
Effects of Alumina–Tantalum Hybrid Nanofragment on Engine Oil Flow Using a New Local Thermal Nonequilibrium Formulation 基于局部非平衡配方的铝钽杂化纳米碎片对发动机机油流动的影响
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-28 DOI: 10.1155/cplx/9937304
Sèmako Justin Dèdèwanou, Thierno Mamadou Pathé Diallo, Mamadou Billo Doumbouya, Facinet Camara, Mariama Ciré Sylla, Famah Traoré, Hodévèwan Clément Miwadinou, Amoussou Laurent Hinvi, Adjimon Vincent Monwanou

The aim of this work is to study the alumina–tantalum/motor oil hybrid nanoliquid flow in a porous cavity subjected to a uniform magnetic field. We have used the Darcy–Bénard convection model for the momentum equation and a new local thermal nonequilibrium formulation for heat transport. Linear stability theory and nonlinear stability theory based on the double Fourier series representation are used to study the onset of stationary and chaotic convection in the hybrid nanofluid. The analytical expression of the stationary thermal Rayleigh–Darcy number has been found as a function of dimensionless parameters and physicochemical properties of the hybrid nanoliquid. Tools such as bifurcation diagrams, Lyapunov exponent, phase spaces, and time histories were used to analyze the chaotic and regular behaviors of the resulting five-dimensional system of nonlinear equations. The added value of this work lies in the stabilization and control of chaotic convection in motor oil flow using hybrid alumina and tantalum nanoparticles and a uniform magnetic field.

本研究的目的是研究均匀磁场作用下氧化铝-钽/机油混合纳米液体在多孔腔中的流动。在动量方程中采用了darcy - bsamadard对流模型,在热输运中采用了新的局部热不平衡公式。采用线性稳定性理论和基于双傅立叶级数表示的非线性稳定性理论研究了混合纳米流体中平稳对流和混沌对流的起始。得到了固定热瑞利-达西数与无量纲参数和杂化纳米液体理化性质的解析表达式。利用分岔图、李雅普诺夫指数、相空间和时间历史等工具分析了得到的五维非线性方程组的混沌和规则行为。本研究的附加价值在于利用氧化铝和钽混合纳米粒子和均匀磁场稳定和控制发动机油流中的混沌对流。
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引用次数: 0
A Real-Time Apple Maturity Detection Method Combining Lightweight Networks and Multiscale Attention Mechanisms 一种结合轻量级网络和多尺度注意机制的苹果成熟度实时检测方法
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-22 DOI: 10.1155/cplx/6666447
Yonglin Gao, Zhong Zheng, Dongdong Liu

Apple maturity detection algorithms based on deep learning typically involve a large number of parameters, resulting in high computational costs, long processing times, and dependence on high computational power graphics processing units (GPUs). This paper proposes an improved YOLOv8 model to address the issues related to the maturity detection of Fuji apples grown in China using image-based methods. The model was optimized in several ways according to the characteristics of apple targets and scenes. First, a lightweight MobileNetV3 is used as the backbone network, replacing the original CSPDarknet-53 backbone network, which reduces the model parameters and computational complexity and increases the inference speed. Second, by introducing the efficient multiscale attention (EMA) module and using the bidirectional feature pyramid network (BiFPN) in the neck part, the model enhances the extraction capability of important features and suppresses redundant features, thus improving the model’s generalization ability. Experimental results show that the size of the model is 2.6 megabytes. On the apple dataset, its precision, recall, F1 score, and mean average precision reach 90.2%, 88.5%, 89.3%, and 91.3%, respectively, with improvements of 4.3%, 3.2%, 3.7%, and 2.6% compared to the original model. Based on this model, an Android application has been developed for real-time apple maturity detection. The improved model proposed in this paper achieves real-time apple target recognition and maturity detection, providing quick and accurate target recognition guidance for the mechanical automatic harvesting of apples.

基于深度学习的苹果成熟度检测算法通常涉及大量参数,计算成本高,处理时间长,并且依赖于计算能力强的gpu (graphics processing unit)。本文提出了一种改进的YOLOv8模型来解决利用基于图像的方法对中国富士苹果进行成熟度检测的相关问题。根据苹果目标和场景的特点,对模型进行了多种优化。首先,采用轻量级的MobileNetV3作为骨干网,取代原有的CSPDarknet-53骨干网,降低了模型参数和计算复杂度,提高了推理速度;其次,通过引入高效的多尺度注意(EMA)模块,在颈部采用双向特征金字塔网络(BiFPN),增强了重要特征的提取能力,抑制了冗余特征,提高了模型的泛化能力;实验结果表明,模型的大小为2.6兆字节。在苹果数据集上,其精度、召回率、F1得分和平均精度分别达到90.2%、88.5%、89.3%和91.3%,比原始模型分别提高4.3%、3.2%、3.7%和2.6%。基于该模型,开发了一个实时检测苹果成熟度的Android应用程序。本文提出的改进模型实现了苹果目标的实时识别和成熟度检测,为苹果机械自动采收提供快速准确的目标识别指导。
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引用次数: 0
Intrusion Detection in IoT Using Deep Recurrent Neural Networks: A Complex Network Approach to Modeling Emergent Cyberattack Behaviors 物联网中使用深度递归神经网络的入侵检测:一种模拟突发网络攻击行为的复杂网络方法
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-17 DOI: 10.1155/cplx/9693472
Roya Morshedi, S.Mojtaba Matinkhah

The rapid proliferation of Internet of Things (IoT) infrastructures has introduced significant security challenges due to device heterogeneity, dynamic interactions, and resource limitations. Traditional intrusion detection systems (IDSs) often struggle to capture temporal dependencies and emergent behaviors inherent in modern IoT cyber threats. This study presents a novel hybrid framework that combines deep recurrent neural networks (RNNs), specifically long short-term memory (LSTM) architectures, with complex network modeling to enhance the detection and classification of sophisticated attacks. The proposed system leverages normalized and labeled IoT traffic data, encompassing multiple attack classes (e.g., DoS, DDoS, Brute Force, MITM, and Replay) to train an LSTM-based IDS capable of multiclass temporal analysis. Simultaneously, an IoT network environment is simulated using graph-theoretic principles, where each node represents a device characterized by parameters such as latency, energy usage, and communication protocols. Cyberattack scenarios are emulated within this network to facilitate real-time detection of anomalous behaviors. Experimental results demonstrate the effectiveness of the proposed model in capturing sequential patterns and improving detection accuracy in complex IoT environments.

由于设备异构、动态交互和资源限制,物联网(IoT)基础设施的快速扩散带来了重大的安全挑战。传统的入侵检测系统(ids)通常难以捕捉现代物联网网络威胁中固有的时间依赖性和紧急行为。本研究提出了一种新的混合框架,将深度递归神经网络(rnn),特别是长短期记忆(LSTM)架构与复杂的网络建模相结合,以增强对复杂攻击的检测和分类。提议的系统利用标准化和标记的物联网流量数据,包括多种攻击类别(例如,DoS, DDoS,暴力破解,MITM和重播)来训练能够进行多类时间分析的基于lstm的IDS。同时,使用图论原理模拟物联网网络环境,其中每个节点代表一个具有延迟、能源使用和通信协议等参数特征的设备。在该网络中模拟网络攻击场景,以便实时检测异常行为。实验结果证明了该模型在复杂物联网环境中捕获序列模式和提高检测精度方面的有效性。
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引用次数: 0
The Influence Maximization in Complex Networks: Significant Trends, Leading Contributors, and Prospective Directions 复杂网络中的影响最大化:重要趋势、主要贡献者和未来方向
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-15 DOI: 10.1155/cplx/7605463
Elaf Adel Abbas, Raaid Alubady, Aqeel Sahi, Mohammed Diykh, Shahab Abdulla

Influence maximization (IM) is a concept in social network analysis and data science that focuses on finding the most influential nodes (people, users, etc.) in a network to maximize the spread of information, behavior, or influence. IM studies have become more crucial due to the quick uptake of social media and networking technologies, which have revolutionized communication and information sharing. Using information from the Scopus database, this study conducts a thorough bibliometric analysis of the literature on instant messaging from 2006 to 2024 to investigate publishing trends, significant contributors, and developing themes. The three primary issues the study attempts to answer are finding the most productive journals, nations, and scholars in IM research; assessing the growth and influence of publications; and predicting future research trends. The results show that IM research is dominated by China and the US, with significant contributions from organizations like the Department of Computer Science and Microsoft Research Asia. The development of the field toward scalable algorithms and practical applications is highlighted by highly cited articles, such as Chen’s (2009) work on successful instant messaging. The investigation also shows the possibility of incorporating AI into future advancements and points out shortcomings in behaviorally informed techniques. This study offers a valuable summary of information management research for academics and professionals trying to understand this ever-evolving topic.

影响力最大化(IM)是社交网络分析和数据科学中的一个概念,侧重于在网络中找到最具影响力的节点(人、用户等),以最大化信息、行为或影响力的传播。由于社会媒体和网络技术的迅速普及,即时通讯研究变得更加重要,这些技术已经彻底改变了通信和信息共享。利用Scopus数据库的信息,本研究对2006年至2024年的即时通讯文献进行了全面的文献计量分析,以调查出版趋势、重要贡献者和发展主题。该研究试图回答的三个主要问题是:在IM研究中找到最具生产力的期刊、国家和学者;评估出版物的增长和影响;预测未来的研究趋势。结果显示,即时通讯研究主要由中国和美国主导,计算机科学系和微软亚洲研究院等组织也做出了重大贡献。高引用率的文章强调了该领域向可扩展算法和实际应用的发展,例如Chen(2009)关于成功的即时通讯的工作。该调查还显示了将人工智能纳入未来发展的可能性,并指出了行为信息技术的缺点。这项研究为试图理解这个不断发展的话题的学者和专业人士提供了一个有价值的信息管理研究总结。
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引用次数: 0
Neural Scale-Free Network: A Novel Neural Network to Predict the Emergence of Hub Nodes in Complex Networks 神经无标度网络:一种预测复杂网络中枢纽节点出现的新型神经网络
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-12 DOI: 10.1155/cplx/5778546
Xueli Wang, Hongsheng Qian, Peyman Arebi

The emergence of hubs in scale-free networks plays a critical role in understanding dynamic complex networks such as social interactions, transportation networks, and biological processes. Given that real-world scale-free networks are dynamic and time based, a temporal-scale-free network (TSF network) is proposed in this paper. To predict the emergence of hubs, proposed a temporal graph convolutional neural network (T-GCN) that integrates graph convolutional networks (GCNs) for spatial feature extraction and long short-term memory (LSTM) networks for modeling temporal dynamics. Our framework effectively learns both the structural evolution and dynamic node interactions in scale-free networks, allowing accurate prediction of hub emergence. The proposed model is trained on synthetic and real-world datasets, demonstrating superior predictive accuracy compared to traditional methods. Our findings provide valuable insights into the mechanisms governing hub formation and offer a robust framework for forecasting influential nodes in evolving networks.

无标度网络中枢纽的出现对理解动态复杂网络(如社会互动、交通网络和生物过程)起着至关重要的作用。考虑到现实世界的无标度网络是动态的、基于时间的,本文提出了一种时间无标度网络(TSF)。为了预测集线器的出现,提出了一种时序图卷积神经网络(T-GCN),该网络集成了用于空间特征提取的图卷积网络(GCNs)和用于时间动态建模的长短期记忆(LSTM)网络。我们的框架有效地学习了无标度网络中的结构演化和动态节点相互作用,从而能够准确预测枢纽的出现。该模型在合成数据集和真实世界数据集上进行了训练,与传统方法相比,显示出更高的预测精度。我们的研究结果对控制枢纽形成的机制提供了有价值的见解,并为预测进化网络中有影响力的节点提供了一个强大的框架。
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引用次数: 0
Dynamic Analysis of a Periodic Impulsive Switching Model for a Stage-Structured Single Population With Hibernation Habits 具有冬眠习性的阶段结构单种群周期脉冲切换模型的动态分析
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-05 DOI: 10.1155/cplx/5655421
Gang Hu, Baolin Kang, Kaiyuan Liu, Jianjun Jiao

In this paper, we develop a periodic impulsive switching stage-structured model to investigate the population dynamics of species exhibiting hibernation behavior. The model incorporates stage structure (larvae and adults), birth pulses occurring exclusively in the active season, and impulsive harvesting events taking place immediately after hibernation. By combining switched dynamical systems with impulsive differential equations, we accurately capture the seasonal alternation between active and dormant states along with discrete reproductive and harvesting pulses. Using the Jury criterion, we establish sufficient conditions for the local asymptotic stability of both the population extinction periodic solution and the positive periodic solution. Furthermore, we identify an explicit extinction-survival threshold Γ and analyze how key parameters such as hibernation duration, harvesting rate, and birth pulse intensity govern population persistence. Numerical simulations not only validate the analytical results but also uncover complex nonlinear dynamics, including period-doubling bifurcations and chaotic oscillations, as the birth coefficient increases. These findings provide theoretical insights for wildlife conservation and sustainable harvesting strategies concerning hibernating species.

本文建立了一个周期脉冲切换阶段结构模型来研究具有冬眠行为的物种的种群动态。该模型结合了阶段结构(幼虫和成虫),仅在活动季节发生的出生脉冲,以及在冬眠后立即发生的冲动收获事件。通过将开关动力系统与脉冲微分方程相结合,我们准确地捕捉了活跃和休眠状态之间的季节交替以及离散的繁殖和收获脉冲。利用Jury准则,建立了种群灭绝周期解和正周期解的局部渐近稳定的充分条件。此外,我们确定了一个明确的灭绝生存阈值Γ,并分析了冬眠持续时间、收获率和出生脉冲强度等关键参数如何影响种群持久性。数值模拟不仅验证了分析结果,而且揭示了复杂的非线性动力学,包括倍周期分岔和混沌振荡,随着出生系数的增加。这些发现为冬眠物种的野生动物保护和可持续收获策略提供了理论见解。
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引用次数: 0
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Complexity
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