Chaos Solitons & Fractals最新文献_第2页

Superquadratic function and its applications in information theory via interval calculus 超二次函数及其通过区间微积分在信息论中的应用

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-23 DOI: 10.1016/j.chaos.2024.115748

Saad Ihsan Butt, Dawood Khan

引用次数: 0

Coherent and incoherent control in neuronal networks based on two sub-networks and biological implication 基于两个子网络的神经元网络中的相干和非相干控制及其生物学意义

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-22 DOI: 10.1016/j.chaos.2024.115742

Arthur Brice Azangue , Elie Bertrand Megam Ngouonkadi , Hilaire Bertrand Fotsin , Romanic Kengne , Zeric Njitacke Tabekoueng , Theophile Fozin Fonzin

{"title":"Coherent and incoherent control in neuronal networks based on two sub-networks and biological implication","authors":"Arthur Brice Azangue , Elie Bertrand Megam Ngouonkadi , Hilaire Bertrand Fotsin , Romanic Kengne , Zeric Njitacke Tabekoueng , Theophile Fozin Fonzin","doi":"10.1016/j.chaos.2024.115742","DOIUrl":"10.1016/j.chaos.2024.115742","url":null,"abstract":"<div><div>Chimera states are fascinating phenomena nowadays and are largely discussed in neuroscience in the aim to describe the coexistence between coherent and incoherent states observed in complex neuronal networks. The case of brain is a typical example, where depending on the problem observed for instance neurodegenerative diseases, some regions on the cerebral cortex can show coherent or incoherent dynamics. Coherent dynamics is associated to the synchronization of different nodes of network constituted while incoherent dynamics are linked to the desynchronization. In this work, we analyze the emergence of chimera states in a network designed by two sub-networks interacting with electrical and chemical synapses. We observe that with the help of a controller on a group of nodes, it is possible to significantly achieve coherence or incoherence of cluster oscillators in a network. The control strategy consists to consider both sub-networks with different types of inter-layer connections (electrical and chemical) between links. In addition, a possibility to find a global synchronization in the network and an issue to explain the behavior of brain in case of some neurodegenerative diseases is given. We observe that for a controlled domain, when one sub-network is coherent (Resp. incoherent) this involves automatically a coherent (Resp. incoherent) behavior of the other sub-network.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"190 ","pages":"Article 115742"},"PeriodicalIF":5.3,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142701864","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

Motif analysis and passing behavior in football passing networks 足球传球网络中的动机分析和传球行为

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-22 DOI: 10.1016/j.chaos.2024.115750

Ming-Xia Li , Li-Gong Xu , Wei-Xing Zhou

{"title":"Motif analysis and passing behavior in football passing networks","authors":"Ming-Xia Li , Li-Gong Xu , Wei-Xing Zhou","doi":"10.1016/j.chaos.2024.115750","DOIUrl":"10.1016/j.chaos.2024.115750","url":null,"abstract":"<div><div>The strategic orchestration of football matchplays profoundly influences game outcomes, motivating a surge in research aimed at uncovering tactical nuances through social network analysis. In this paper, we delve into the microscopic intricacies of cooperative player interactions by focusing on triadic motifs within passing networks. Employing a dataset compiled from 3199 matches across 18 premier football competitions, we identify successful passing activities and construct passing networks for both home and away teams. Our findings highlight a pronounced disparity in passing efficiency, with home teams demonstrating superior performance relative to away teams. Through the identification and analysis of 3-motifs, we find that the motifs with more bidirectional links are more significant. It reveals that footballers exhibit a strong tendency towards backward passes rather than direct forward attacks. Comparing the results of games, we find that some motifs are related to the goal difference. It indicates that direct and effective forward passing significantly amplifies a team’s offensive capabilities, whereas an abundance of passbacks portends an elevated risk of offensive futility. These revelations affirm the efficacy of network motif analysis as a potent analytical tool for unveiling the foundational components of passing dynamics among footballers and for decoding the complex tactical behaviors and interaction modalities that underpin team performance.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"190 ","pages":"Article 115750"},"PeriodicalIF":5.3,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142701861","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

Bifurcation and chaos control in a heterogeneous Cournot-Bertrand duopoly game model 异质库诺-伯特兰双头垄断博弈模型中的分岔和混沌控制

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-22 DOI: 10.1016/j.chaos.2024.115757

Rizwan Ahmed , M. Zubair Akbar Qureshi , Muhammad Abbas , Nida Mumtaz

引用次数: 0

Finding important nodes via improved cycle ratio method 通过改进的循环比率法查找重要节点

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-22 DOI: 10.1016/j.chaos.2024.115746

Yihao Huang , Weijun Peng , Muhua Zheng , Ming Zhao , Manrui Zhao , Yicheng Zhang

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A novel stochastic second-order macroscopic continuum traffic flow model for traffic instability 针对交通不稳定性的新型随机二阶宏观连续交通流模型

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-22 DOI: 10.1016/j.chaos.2024.115752

Jianghui Wen , Jiling Hu , Chaozhong Wu , Xinping Xiao , Nengchao Lyu

{"title":"A novel stochastic second-order macroscopic continuum traffic flow model for traffic instability","authors":"Jianghui Wen , Jiling Hu , Chaozhong Wu , Xinping Xiao , Nengchao Lyu","doi":"10.1016/j.chaos.2024.115752","DOIUrl":"10.1016/j.chaos.2024.115752","url":null,"abstract":"<div><div>Dispersion of vehicle speed often causes traffic instability, which affects traffic efficiency and safety. Previous studies have demonstrated that fluctuations near the steady-state equilibrium of traffic flow can be attributed to the stochasticity of traffic system leading by large vehicle speed dispersion. However, the intrinsic mechanisms between fluctuations of traffic flow and vehicle speed dispersion need further discussion. Therefore, a novel stochastic extended speed gradient model based on the fast-and-low speed vehicles is proposed to describe their relationships in this paper. Firstly, a speed-dependent stochastic process is characterized for the stochastic deviation of velocity dispersion, and a stochastic high-order macroscopic traffic flow model is constructed for fast and low speed vehicles. Secondly, using Lyapunov stability theorem and its derivatives, the linear stability criterion of the proposed model is derived. The theoretical results also indicate that the steady-state equilibrium of traffic flow is profoundly affected by the traffic flow initial density, penetration rate of fast and low speed vehicles, and noise intensity. Hence, simulations are implemented from the above three parameters. It can be found that the critical values of initial density affecting traffic flow stability are pursued, and some detailed tendencies of traffic flow are explored for different parameters. Finally, the model is also calibrated and validated through real data, and the impact of fast-and-low-speed vehicles on traffic instability at ramp-merging area is analyzed. Numerical experiments show that the stochastic traffic flow model proposed in this paper well reproduces the traffic oscillations occurring in real traffic.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"190 ","pages":"Article 115752"},"PeriodicalIF":5.3,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142701860","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

Plasticity of parylene memristors: Compact phenomenological model and synaptic properties 对位忆阻器的可塑性：紧凑的现象学模型和突触特性

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-22 DOI: 10.1016/j.chaos.2024.115784

Georgii A. Yuklyaevskikh , Boris S. Shvetsov , Andrey V. Emelyanov , Vsevolod A. Kulagin , Vladimir V. Rylkov , Vyacheslav A. Demin

{"title":"Plasticity of parylene memristors: Compact phenomenological model and synaptic properties","authors":"Georgii A. Yuklyaevskikh , Boris S. Shvetsov , Andrey V. Emelyanov , Vsevolod A. Kulagin , Vladimir V. Rylkov , Vyacheslav A. Demin","doi":"10.1016/j.chaos.2024.115784","DOIUrl":"10.1016/j.chaos.2024.115784","url":null,"abstract":"<div><div>Memristive devices have proven themselves as synaptic elements with rich internal dynamics and stochasticity for bio-inspired neuromorphic computing systems. Memristors based on parylene are of special interest due to their promising memristive properties, biocompatibility and ease of production. However, their synaptic behavior has not yet been fully demonstrated. In addition, the previously proposed model of resistive switching (RS) of these memristors was of a qualitative character and therefore important switching nuances turned out to be hidden. In this paper, a phenomenological model of resistive switching in parylene memristors is developed, based on the electromigration of metal cations from the top electrode, taking into account the stochastic nature of the RS process and conductivity of the parylene gap between the filament and the electrode, which determines various resistive states (plasticity) of the structures. The model is confirmed by a good correspondence between the calculated and measured current-voltage characteristics of the memristors. We also demonstrate various forms of bio-inspired plasticity of the structures, such as paired pulse facilitation/depression, long-term potentiation/depression and spike timing/amplitude/width/rate dependent plasticity. In the case of rate-based plasticity it resembles the theoretically and experimentally thoroughly studied BCM plasticity rule. The results obtained show the possibility of using such structures in the development of next-generation neuromorphic computing systems with promising calculating and learning capabilities.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"190 ","pages":"Article 115784"},"PeriodicalIF":5.3,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142701960","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

Chaotic response, multistability and new wave structures for the generalized coupled Whitham–Broer–Kaup–Boussinesq–Kupershmidt system with a novel methodology 用一种新方法研究广义耦合 Whitham-Broer-Kaup-Boussinesq-Kupershmidt 系统的混沌响应、多稳定性和新波浪结构

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-21 DOI: 10.1016/j.chaos.2024.115755

Muhammad Naveed Rafiq , Muhammad Hamza Rafiq , Huda Alsaud

{"title":"Chaotic response, multistability and new wave structures for the generalized coupled Whitham–Broer–Kaup–Boussinesq–Kupershmidt system with a novel methodology","authors":"Muhammad Naveed Rafiq , Muhammad Hamza Rafiq , Huda Alsaud","doi":"10.1016/j.chaos.2024.115755","DOIUrl":"10.1016/j.chaos.2024.115755","url":null,"abstract":"<div><div>Nonlinear science constitutes a pivotal domain of scientific research, focusing on the investigation of inherent characteristics and common attributes of nonlinear phenomena. In this work, we present the nonlinear aspects of the generalized Whitham–Broer–Kaup–Boussinesq–Kupershmidt system exploring the attributes of dispersive long waves in relation to shallow oceanic settings. By employing a new generalized exponential differential function approach, we successfully derive a variety of new structures, particularly lump-type, lump-periodic, multi-peakon, hybrid lump-dark and lump-bright solutions. These solutions are fundamental in illustrating the rich structure and diverse dynamics inherent in nonlinear higher-dimensional systems. We present these solutions graphically in 3D, contour and density plots to gain a comprehensive insights. In addition to this, we explore the nonlinear characteristics of a perturbed dynamical system to identify the chaotic response by using the idea of chaos theory. Chaotic phenomena is observed and confirmed by adopting different chaos detection tools. Also, we perform the multistability analysis of the perturbed dynamical system under varying initial conditions. This analysis demonstrates that even minor changes in the ICs can lead to shifts in the system’s behavior, transitioning from a stable to an unstable state. Meanwhile, this work represents a novel and significant contribution to the study of the system, enhancing our understanding of localized waves and their dynamics. It also aids in predicting and managing the impact of perturbations in real-world applications such as climate models and engineering systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"190 ","pages":"Article 115755"},"PeriodicalIF":5.3,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142701862","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

Coevolution of relationship-driven cooperation under recommendation protocol on multiplex networks 多路网络推荐协议下关系驱动合作的协同演化

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-21 DOI: 10.1016/j.chaos.2024.115753

Hongyu Yue , Xiaojin Xiong , Minyu Feng , Attila Szolnoki

{"title":"Coevolution of relationship-driven cooperation under recommendation protocol on multiplex networks","authors":"Hongyu Yue , Xiaojin Xiong , Minyu Feng , Attila Szolnoki","doi":"10.1016/j.chaos.2024.115753","DOIUrl":"10.1016/j.chaos.2024.115753","url":null,"abstract":"<div><div>While traditional game models often simplify interactions among agents as static, real-world social relationships are inherently dynamic, influenced by both immediate payoffs and alternative information. Motivated by this fact, we introduce a coevolutionary multiplex network model that incorporates the concepts of a relationship threshold and a recommendation mechanism to explore how the strength of relationships among agents interacts with their strategy choices within the framework of weak prisoner’s dilemma games. In the relationship layer, the relationship strength between agents varies based on interaction outcomes. In return, the strategy choice of agents in the game layer is influenced by both payoffs and relationship indices, and agents can interact with distant agents through a recommendation mechanism. Simulation of various network topologies reveals that a higher average degree supports cooperation, although increased randomness in interactions may inhibit its formation. Interestingly, a higher threshold value of interaction quality is detrimental, while the applied recommendation protocol can improve global cooperation. The best results are obtained when the relative weight of payoff is minimal and the individual fitness is dominated by the relationship indices gained from the quality of links to neighbors. As a consequence, the changes in the distribution of relationship indices are closely correlated with overall levels of cooperation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"190 ","pages":"Article 115753"},"PeriodicalIF":5.3,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142701868","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

Relay synchronization in a multiplex memristive neuronal network with electrical and field couplings 具有电场耦合的多路记忆神经元网络中的中继同步

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-11-21 DOI: 10.1016/j.chaos.2024.115779

Lianyu Chen , Deivasundari Muthukumar , Hayder Natiq , Mahtab Mehrabbeik , Tengfei Lei , Sajad Jafari

{"title":"Relay synchronization in a multiplex memristive neuronal network with electrical and field couplings","authors":"Lianyu Chen , Deivasundari Muthukumar , Hayder Natiq , Mahtab Mehrabbeik , Tengfei Lei , Sajad Jafari","doi":"10.1016/j.chaos.2024.115779","DOIUrl":"10.1016/j.chaos.2024.115779","url":null,"abstract":"<div><div>In complex network analysis, relay synchronization is a critical phenomenon that enables distant coordination. Relay synchronization, or remote synchronization, occurs in multilayer networks where specific layers, called relay layers, mediate synchronization between remote layers without direct connections. This paper presents a detailed investigation of a triplex memristive Hindmarsh-Rose neuronal network, where layers are connected through field couplings, and within each layer, electrical or generalized electrical synapses define the quality of neuronal connections. The results suggest that neurons can achieve complete synchronization within each layer as intralayer connections strengthen. Additionally, at lower values of intralayer and interlayer connections, neurons from different layers can coordinate their temporal behavior. Under certain conditions, relay synchronization can be observed, where neurons from remote layers synchronize while maintaining an asynchronous pattern within their respective layers. Furthermore, considering the effect of electromagnetic induction within the intralayer couplings as a generalized version of the electrical synapses, more conditions were identified under which remote layer neurons can achieve synchrony.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"190 ","pages":"Article 115779"},"PeriodicalIF":5.3,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142702017","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