IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0251072

Azamat Yeldesbay, Gemma Huguet, Silvia Daun

引用次数: 0

Study of power grid subnet partition based on graph neural network. 基于图神经网络的电网子网划分研究。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0239576

Hongjun Wang, Yanli Zou, Tingli Qin, Hai Zhang, Jinmei Hu, Miao Chen

{"title":"Study of power grid subnet partition based on graph neural network.","authors":"Hongjun Wang, Yanli Zou, Tingli Qin, Hai Zhang, Jinmei Hu, Miao Chen","doi":"10.1063/5.0239576","DOIUrl":"https://doi.org/10.1063/5.0239576","url":null,"abstract":"With the increasing scale of power systems, their reliability analysis and calculation become more complex and difficult. Community structure, as an important topological characteristic of complex networks, plays a prominent role in power grid research and application. The current methods for community division of power networks are mainly based on the topological characteristics of the network, with less consideration of the power balance of the subnetwork, which requires larger-scale machine-cutting or load-cutting operations when the subnetwork operates independently after the grid is unbundled. To solve this problem, this paper proposes a community segmentation method for power networks based on graph neural networks that integrally considers the topology of the network and the power balance of the network. Node attributes such as node degree, betweenness, and power value are selected as node features to help the model capture more correlations between nodes. The traditional K-means algorithm is also optimized and improved, and the method of selecting generator nodes as the clustering centers is proposed to ensure that there are generator nodes supplying energy in each community. Experiments are conducted on the IEEE standard test systems, and the effectiveness of the method proposed in this paper is verified by comparing it with other community segmentation methods.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143960416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Partial versus total resetting for Lévy flights in d dimensions: Similarities and discrepancies. 在d维中对lsamvy飞行进行部分和全部重置：相似点和差异。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0255695

Costantino Di Bello, Aleksei Chechkin, Tomasz Grzywny, Zbigniew Palmowski, Karol Szczypkowski, Bartosz Trojan

引用次数: 0

Design and characteristic analysis of incommensurate-order fractional discrete memristor-based hyperchaotic system. 基于非公度阶分数阶离散记忆电阻的超混沌系统设计与特性分析。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0257053

Zhixia Ding, Mengyan Li, Liheng Wang, Sai Li, Lili Cheng

{"title":"Design and characteristic analysis of incommensurate-order fractional discrete memristor-based hyperchaotic system.","authors":"Zhixia Ding, Mengyan Li, Liheng Wang, Sai Li, Lili Cheng","doi":"10.1063/5.0257053","DOIUrl":"https://doi.org/10.1063/5.0257053","url":null,"abstract":"The discrete memristive chaotic system is characterized by discontinuous phase trajectories. To address the limitations of the ideal integer-order discrete memristor model, which fails to accurately reflect the characteristics of practical devices, this study introduces a Grunwald-Letnikov type quadratic trivariate fractional discrete memristor model to enhance the nonlinearity and memory properties of memristors. Simultaneously, it is demonstrated that our model satisfies the essential characteristics of the generalized memristor. Based on this newly proposed fractional discrete memristor, a new four-dimensional fractional discrete memristive hyperchaotic system is constructed by coupling non-uniform, incommensurate-order memristors. This system advances the structure of existing discrete chaotic systems and provides a more flexible strategy for optimizing memory effects. The dynamical behaviors are analyzed using attractor phase diagrams, bifurcation diagrams, Lyapunov exponent spectra, and permutation entropy complexity. Numerical simulation results show that the system can exhibit a larger hyperchaotic region, higher complexity, and rich multistable behaviors, such as the coexistence of infinitely symmetric attractors and enhanced offset. Additionally, the impact of the incommensurate-order parameter on the system's chaotic behavior is revealed, with order serving as a tunable control variable that dynamically reconfigures bifurcation paths as needed, thereby enabling transitions between hyperchaotic, chaotic, and non-chaotic states. Furthermore, a simulation circuit was designed to validate the numerical simulation results.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143986608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Detecting time-irreversibility in multiscale systems: Correlation and response functions in the Lorenz96 model. 检测多尺度系统中的时间不可逆性：Lorenz96模型中的相关和响应函数。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0248658

Niccolò Cocciaglia, Dario Lucente

{"title":"Detecting time-irreversibility in multiscale systems: Correlation and response functions in the Lorenz96 model.","authors":"Niccolò Cocciaglia, Dario Lucente","doi":"10.1063/5.0248658","DOIUrl":"10.1063/5.0248658","url":null,"abstract":"Due to their relevance to geophysical systems, the investigation of multiscale systems through the lens of statistical mechanics has gained popularity in recent years. The aim of our work is the characterization of the nonequilibrium properties of the well-known two-scales Lorenz96 model, a dynamical system much used for testing ideas in geophysics, by studying either higher-order correlation functions or response to external perturbations of the energy. These tools in both equilibrium (inviscid) or non-equilibrium (viscous) systems provide clear evidence of their suitability for detecting time-reversal symmetry breaking and for characterizing transport properties also in this class of models. In particular, we characterize how localized energy perturbations are transported between the different scales, highlighting that perturbations of synoptic variables greatly impact advective variables but perturbations of the latter have a practically negligible effect on synoptic scales. Finally, we show that responses of global observables to finite size perturbations strongly depend on the perturbation protocol. This prevents the physical understanding of the system from observations of the relaxation process alone, a fact often overlooked.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143802600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Subtle nuances between quantum and classical regimes. 量子和经典体制之间的细微差别。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0237598

Karin Wittmann Wilsmann, Erick R Castro, Itzhak Roditi, Angela Foerster, Jorge G Hirsch

引用次数: 0

Cover times with stochastic resetting. 覆盖时间随机重置。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0260643

Samantha Linn, Sean D Lawley

引用次数: 0

Reservoir computing with the minimum description length principle. 最小描述长度原理油藏计算。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0252938

Antony Mizzi, Michael Small, David M Walker

引用次数: 0

Secondary shearless bifurcations for two isochronous resonant perturbations. 两个等时共振扰动的二次无剪切分岔。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0233732

B B Leal, M J Lazarotto, M Mugnaine, A M Ozorio de Almeida, R L Viana, I L Caldas

引用次数: 0

Beyond payoff neutrality: How generalized subpopulation interactions drive cooperation in structured populations. 超越收益中立：广义亚群体互动如何推动结构化群体中的合作。

IF 2.7 2区数学

Chaos Pub Date : 2025-04-01 DOI: 10.1063/5.0264243

Yini Geng, Yifei Peng, Yikang Lu, Chunpeng Du

{"title":"Beyond payoff neutrality: How generalized subpopulation interactions drive cooperation in structured populations.","authors":"Yini Geng, Yifei Peng, Yikang Lu, Chunpeng Du","doi":"10.1063/5.0264243","DOIUrl":"10.1063/5.0264243","url":null,"abstract":"Understanding how cooperation evolves in multi-subpopulation is crucial for addressing social challenges. While previous studies show that payoff-neutral subpopulations in structured populations can enhance cooperation, the role of broader inter-subpopulation relationships remains unclear. We extend this framework to include generalized relationships-competition, mutualism, and parasitism-modeled by inter-subpopulation payoffs α and β. Within subpopulations, individuals play the prisoner's dilemma, while inter-subpopulation interactions yield payoffs based on α and β. Evolutionary analysis and simulations reveal that, in fully connected networks, generalized relationships yield outcomes almost indistinguishable from the payoff-neutral scenario (α=0,β=0). However, in structured populations, these relationships introduce additional pathways for sustaining cooperation beyond those observed under payoff neutrality. When the network structure alone can support cooperation, only mutualistic relationships (α>0,β>0) enable the full dominance of cooperative strategies. Conversely, when the network structure alone cannot maintain cooperation, competitive (α<0,β<0) or parasitic (α>0,β<0) relationships allow cooperation to persist or even achieve complete dominance, whereas mutualism offers only limited support. These findings provide deeper insights into how diverse inter-subpopulation relationships shape the evolution of cooperation in multi-subpopulation social systems.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 4","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143802595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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