Chaos Solitons & Fractals最新文献_第10页

A contrastive learning framework of graph reconstruction and hypergraph learning for key node identification 一种基于图重构和超图学习的关键节点识别对比学习框架

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-28 DOI: 10.1016/j.chaos.2025.116466

Xu-Dong Huang , Xian-Jie Zhang , Hai-Feng Zhang

{"title":"A contrastive learning framework of graph reconstruction and hypergraph learning for key node identification","authors":"Xu-Dong Huang , Xian-Jie Zhang , Hai-Feng Zhang","doi":"10.1016/j.chaos.2025.116466","DOIUrl":"10.1016/j.chaos.2025.116466","url":null,"abstract":"<div><div>With the emergence of complex networks in various domains, the key node identification has become one of the critical issues that needs to be studied. Traditional index methods typically focus on single structural information, while existing data-driven approaches often rely solely on the intrinsic lower-order features of nodes. However, assessing the importance of nodes requires a comprehensive consideration of both network structures and higher-order features from multiple perspectives. To address these challenges, this paper proposes a novel deep learning framework based on Graph Reconstruction and Hypergraph Contrastive Learning, termed GRHCL. The GRHCL method constructs hypergraph structures from original graphs using random walks, followed by leveraging graph reconstruction and hypergraph learning methods to capture both structural and higher-order embedding features of nodes. Positive and negative node pairs are then constructed across different views for contrastive learning. Finally, the model is trained using a training sample set obtained through a clustering sampling strategy, along with a joint loss function. Comparative experiments against various baseline methods demonstrate that the GRHCL method achieves superior predictive performance with smaller training sets, improving accuracy by over 5% on some datasets compared to the next best-performing method.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116466"},"PeriodicalIF":5.3,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143878474","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

Supratransmission of rogue wave-like breathing solitons 异常波状呼吸孤子的超传输

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-28 DOI: 10.1016/j.chaos.2025.116452

Abrari Noor Hasmi , Hadi Susanto

引用次数: 0

A risk-graded propagation and dynamic recovery algorithm for optimizing supply chain networks 供应链网络优化的风险分级传播与动态恢复算法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-28 DOI: 10.1016/j.chaos.2025.116477

Leilei Wu , Xixi Ding , Guanghan Bai , Liyan Yu , Yongxiang Xia

{"title":"A risk-graded propagation and dynamic recovery algorithm for optimizing supply chain networks","authors":"Leilei Wu , Xixi Ding , Guanghan Bai , Liyan Yu , Yongxiang Xia","doi":"10.1016/j.chaos.2025.116477","DOIUrl":"10.1016/j.chaos.2025.116477","url":null,"abstract":"<div><div>Supply chain networks are highly susceptible to systemic failures when faced with localized risk shocks due to their complexity and high interconnectivity. In this paper, a multi-state model for supply chain risk transmission and recovery is constructed. By introducing hierarchical infection probabilities (<span><math><mrow><mi>α</mi><mrow><mo>(</mo><mi>n</mi><mo>,</mo><mi>f</mi><mo>)</mo></mrow></mrow></math></span>) and recovery probabilities (<span><math><mrow><mi>μ</mi><mrow><mo>(</mo><mi>n</mi><mo>,</mo><mi>f</mi><mo>,</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span>), the node states are dynamically updated, taking into full account node attributes such as risk levels, node fitness, and recovery costs. Notably, a handling strategy for node failures is designed. When a node enters the failure state (the D state), the impacts on the network topology and the states of neighboring nodes are analyzed in detail. Corresponding measures are taken, including removing the failed node and its connections and updating the states of neighboring nodes based on their degrees and impact factors. At the same time, a reconnection mechanism for healthy nodes is designed to reduce network fragmentation and maintain network connectivity and stability. Through simulations and empirical data analysis, the model effectively limits the spread of risk, reduces the failure rate of high-risk nodes, and enhances the overall connectivity of the network. It performs well in different network topologies, providing valuable insights and practical tools for optimizing risk management in complex supply chains.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116477"},"PeriodicalIF":5.3,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882608","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

Design of a novel memristor-modulated hyperchaotic map with differential variable input 一种新型差分变量输入忆阻器调制超混沌映射的设计

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-28 DOI: 10.1016/j.chaos.2025.116474

Beining Fu , Qiankun Sun , Huihai Wang , Kehui Sun

{"title":"Design of a novel memristor-modulated hyperchaotic map with differential variable input","authors":"Beining Fu , Qiankun Sun , Huihai Wang , Kehui Sun","doi":"10.1016/j.chaos.2025.116474","DOIUrl":"10.1016/j.chaos.2025.116474","url":null,"abstract":"<div><div>Chaos performance enhancement techniques have emerged as one of the pivotal research focal points in the realm of nonlinear physics. By inputting the differences of state variables into the seed fraction map (FM) and coupling it with a discrete memristor, a novel state variable difference input memristive fraction map (DMFM) is constructed in this paper. The presence of infinite fixed points unveils the multi-stability of DMFM, and simulation experiments demonstrate the coexistence of multiple attractors, highlighting the high sensitivity to initial conditions. Bifurcation diagrams reveal the reduction of the number of periodic windows for the seed map after difference input and memristor modulation. The hyperchaotic state within certain parameter ranges is verified by the Lyapunov exponent spectrum. Moreover, the broadening of the chaos interval further substantiates that the use of state variable difference input and the modulation of memristor effectively enhance the chaotic performance. The initial-boosting behavior of DMFM exhibits complex dynamics. Regarding practical applications, a pseudo-random number generator based on DMFM is designed and successfully passed the TestU01 and NIST SP800-22 tests. The digital signal processing (DSP) implementation of the system lays an experimental foundation for its application.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116474"},"PeriodicalIF":5.3,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882607","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

Azimuthal and radial control of population distribution in a three-level atomic system interacting with orbital angular momentum beams via an external magnetic field 外磁场作用下与轨道角动量光束相互作用的三能级原子系统中居群分布的方位和径向控制

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-28 DOI: 10.1016/j.chaos.2025.116518

Hsu Chou-Yi , Ibrahim Alkhrsan , Barno Abdullaeva , Paul Rodrigues , Asha Rajiv , Aman Shankhyan , Helen Merina Albert , Bhavik Jain , Liwaa Ali Hussein , Mazin Abdulateef Alzubaidi

{"title":"Azimuthal and radial control of population distribution in a three-level atomic system interacting with orbital angular momentum beams via an external magnetic field","authors":"Hsu Chou-Yi , Ibrahim Alkhrsan , Barno Abdullaeva , Paul Rodrigues , Asha Rajiv , Aman Shankhyan , Helen Merina Albert , Bhavik Jain , Liwaa Ali Hussein , Mazin Abdulateef Alzubaidi","doi":"10.1016/j.chaos.2025.116518","DOIUrl":"10.1016/j.chaos.2025.116518","url":null,"abstract":"<div><div>This paper investigates the interaction between orbital angular momentum (OAM) beams and a three-level closed-loop atomic system, focusing on how the azimuthal distribution of population is influenced by relative phase, OAM number, and magnetic field detuning. We explore the effect of OAM beam, characterized by their helical phase structure, on atomic transitions, specifically examining how the vortex beam induces spatially dependent population distributions in the atomic system. Our result shows that when the relative phase between the probe and vortex field is nonzero, the population distribution exhibits azimuthal dependence. In contrast, for zero relative phase, the population distribution leads to 2D localization of atoms at the center of the azimuthal plane, offering a novel method for atom localization. The effect of detuning the magnetic field is also examined, showing that nonzero detuning causes asymmetric azimuthal population distributions, with peaks and dips emerging as detuning increases. These results provide valuable insights into the role of structured light fields in quantum systems, offering potential applications in areas such as quantum information processing, atom localization, and precision control of atomic systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116518"},"PeriodicalIF":5.3,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882609","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

Collective behavior of non-reciprocal swarmalators 非互易群集者的集体行为

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-28 DOI: 10.1016/j.chaos.2025.116461

Zuchuan Yu, Hua Zhang, Fengling Jiang, Huan Zhang

引用次数: 0

Identify influential nodes in directed networks: A neighborhood entropy-based method 识别有向网络中的影响节点：基于邻域熵的方法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-27 DOI: 10.1016/j.chaos.2025.116444

Ang Dong , Ru Feng , Lipeng Qiu , Yali Wu , Yuanguang Ren , Aoran Zhou

{"title":"Identify influential nodes in directed networks: A neighborhood entropy-based method","authors":"Ang Dong , Ru Feng , Lipeng Qiu , Yali Wu , Yuanguang Ren , Aoran Zhou","doi":"10.1016/j.chaos.2025.116444","DOIUrl":"10.1016/j.chaos.2025.116444","url":null,"abstract":"<div><div>The identification of influential nodes in complex networks is prominent and actively researched topic, with applications across various fields. Despite the emergence of numerous methods, many of these are inadequate for directed networks due to the asymmetry of information flow. To address this challenge, we propose a Neighborhood Entropy-based Method (NEM) for identifying key nodes in directed networks. Inspired by Shannon entropy, the k-orders in-degree entropy and k-orders out-degree entropy of nodes are defined to capture the neighborhood information of the node. A tunable parameter <span><math><mi>α</mi></math></span> is introduced to balance the contribution of in-neighbors and out-neighbors on neighbor influence ability, while a decay factor <span><math><msub><mrow><mi>φ</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span> is set to adjust the influence of different order neighbors on the node. The importance of a node can be eventually evaluated by the influence capability of its in-neighbors and itself. To assess the effectiveness of NEM, we benchmark it against six existing methods on six real network datasets. The results demonstrate the high correctness of NEM, with its low time complexity enabling efficient application to large-scale directed networks.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116444"},"PeriodicalIF":5.3,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877545","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

Denoising-enhanced differential chaos shift keying with joint dual orthogonal codes and time-frequency index modulation 基于联合对偶正交码和时频指数调制的去噪增强差分混沌移位键控

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-27 DOI: 10.1016/j.chaos.2025.116475

Gang Zhang , Yanan Hu , Xibiao Chen , Yunhan Pei

{"title":"Denoising-enhanced differential chaos shift keying with joint dual orthogonal codes and time-frequency index modulation","authors":"Gang Zhang , Yanan Hu , Xibiao Chen , Yunhan Pei","doi":"10.1016/j.chaos.2025.116475","DOIUrl":"10.1016/j.chaos.2025.116475","url":null,"abstract":"<div><div>We propose a joint dual orthogonal code, time slot, and carrier index modulation differential chaos shift keying (JDOCTF-IM-DCSK) system to enhance data rate and energy efficiency. In this system, index bits are mapped to different states of time slots, carriers, and orthogonal codes, enabling the transmission of reference signal without additional time-frequency resources by leveraging the differences between the signal in the first time slot and the remaining time slots. At the receiver, three-stages of denoising are applied to reduce noise interference, and two algorithms are proposed to effectively recover the index and modulated bits of the JDOCTF-IM-DCSK system. Under Additive White Gaussian Noise (AWGN) and multipath Rayleigh fading channels, the theoretical bit error rate (BER) of the JDOCTF-IM-DCSK system is derived and its accuracy is validated. Furthermore, this study compares the system's data rate, spectral efficiency, energy efficiency, complexity, and BER with other similar systems, highlighting the overall superior performance of the JDOCTF-IM-DCSK system.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116475"},"PeriodicalIF":5.3,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143878960","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

General soliton solutions to the coupled Hirota equation via the Kadomtsev–Petviashvili reduction 通过卡多姆采夫-彼得维亚什维利还原法求解耦合广塔方程的一般孤子解

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-26 DOI: 10.1016/j.chaos.2025.116400

Changyan Shi, Bingyuan Liu, Bao-Feng Feng

{"title":"General soliton solutions to the coupled Hirota equation via the Kadomtsev–Petviashvili reduction","authors":"Changyan Shi, Bingyuan Liu, Bao-Feng Feng","doi":"10.1016/j.chaos.2025.116400","DOIUrl":"10.1016/j.chaos.2025.116400","url":null,"abstract":"<div><div>In this paper, we are concerned with various soliton solutions to the coupled Hirota equation, as well as to the Sasa–Satsuma equation which can be viewed as one reduction case of the coupled Hirota equation. First, we derive bright–bright, dark–dark, and bright–dark soliton solutions of the coupled Hirota equation by using the Kadomtsev–Petviashvili reduction method. Then, we present the bright and dark soliton solutions to the Sasa–Satsuma equation which are expressed by determinants of <span><math><mrow><mi>N</mi><mo>×</mo><mi>N</mi></mrow></math></span> instead of <span><math><mrow><mn>2</mn><mi>N</mi><mo>×</mo><mn>2</mn><mi>N</mi></mrow></math></span> in the literature. The dynamics of first-, second-order solutions are investigated in detail. It is intriguing that, for the SS equation, the bright soliton for <span><math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math></span> is also the soliton to the complex mKdV equation while the amplitude and velocity of dark soliton for <span><math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math></span> are determined by the background plane wave. For <span><math><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow></math></span>, the bright soliton can be classified into three types: oscillating, single-hump, and double-hump ones while the dark soliton can be classified into five types: dark (single-hole), anti-dark, Mexican hat, anti-Mexican hat and double-hole. Moreover, the types of bright solitons for the Sasa–Satsuma equation can be changed due to collision.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116400"},"PeriodicalIF":5.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874007","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

Comparative robustness analysis of quadratic solitons and pure-quartic solitons 二次孤子与纯四次孤子的鲁棒性比较分析

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-04-26 DOI: 10.1016/j.chaos.2025.116506

Xinlin Dai , Yaoyao Qi , Qixing Yu , Chaojian He , Song Yang , Zhiwei Lu

引用次数: 0