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Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the different topological phases which are…

Multimodal transportation systems can be represented as time-resolved multilayer networks where different transportation modes connecting the same set of nodes are associated to distinct network layers. Their quantitative description became…

Physics and Society · Physics 2015-09-29 Laura Alessandretti , Márton Karsai , Laetitia Gauvin

Human eye movement mechanisms (saccades) are very useful for scene analysis, including object representation and pattern recognition. In this letter, a Hopfield neural network to emulate saccades is proposed. The network uses an energy…

Computer Vision and Pattern Recognition · Computer Science 2013-01-14 Teruyoshi Washizawa

We investigate a game-theoretic model of a social system where both the rules of the game and the interaction structure are shaped by the behavior of the agents. We call this type of model, with several types of feedback couplings from the…

Populations and Evolution · Quantitative Biology 2016-11-25 Sungmin Lee , Petter Holme , Zhi-Xi Wu

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

Multiagent Systems · Computer Science 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

A network with local dynamics of logistic type is considered. We implement a mean-field multiplicative coupling among first-neighbor nodes. When the coupling parameter is small the dynamics is dissipated and there is no activity: the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 R. Lopez-Ruiz , Y. Moreno , S. Boccaletti , D. -U. Hwang , A. F. Pacheco

The recent major developments in information technologies have opened interesting possibilities for the effective management of multi-agent systems. In many cases, the important role of central control nodes can now be undertaken by several…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Filiberto Fele , José M. Maestre , Eduardo F. Camacho

We model network formation when heterogeneous nodes enter sequentially and form connections through both random meetings and network-based search, but with type-dependent biases. We show that there is "long-run integration," whereby the…

Physics and Society · Physics 2012-04-10 Yann Bramoullé , Sergio Currarini , Matthew O. Jackson , Paolo Pin , Brian W. Rogers

Building on previous work, this paper extends the modeling of political structures from simplicial complexes to hypergraphs. This allows the analysis of more complex political dynamics where agents who are willing to form coalitions contain…

Physics and Society · Physics 2024-04-24 Ismar Volic , Zixu Wang

Many real-world complex systems are well represented as multilayer networks; predicting interactions in those systems is one of the most pressing problems in predictive network science. To address this challenge, we introduce two stochastic…

Physics and Society · Physics 2019-04-03 Marc Tarres-Deulofeu , Antonia Godoy-Lorite , Roger Guimera , Marta Sales-Pardo

We consider an operatorial model of alliances between three political parties which interact with their electors, with the undecided voters, and with the electors of the other parties. This extends what was done in a previous paper, where…

Physics and Society · Physics 2016-04-01 Fabio Bagarello

We consider the evolutionary dynamics of a cooperative game on an adaptive network, where the strategies of agents (cooperation or defection) feed back on their local interaction topology. While mutual cooperation is the social optimum,…

Physics and Society · Physics 2010-09-13 Gerd Zschaler , Arne Traulsen , Thilo Gross

A growing body of empirical evidence indicates that social and cooperative behavior can be affected by cognitive and neurological factors, suggesting the existence of state-based decision-making mechanisms that may have emerged by…

Populations and Evolution · Quantitative Biology 2017-08-23 Zoran Utkovski , Viktor Stojkoski , Lasko Basnarkov , Ljupco Kocarev

We introduce a spherical Hopfield-type neural network involving neurons and patterns that are continuous variables. We study both the thermodynamics and dynamics of this model. In order to have a retrieval phase a quartic term is added to…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. Bolle , Th. M. Nieuwenhuizen , I. Perez Castillo , T. Verbeiren

We study expanding circle maps interacting in a heterogeneous random network. Heterogeneity means that some nodes in the network are massively connected, while the remaining nodes are only poorly connected. We provide a probabilistic…

Dynamical Systems · Mathematics 2013-08-27 Tiago Pereira , Sebastian van Strien , Jeroen S. W. Lamb

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

Physics and Society · Physics 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

The exponential rise in data generation has led to vast, heterogeneous datasets crucial for predictive analytics and decision-making. Ensuring data quality and semantic integrity remains a challenge. This paper presents a brain-inspired…

Machine Learning · Computer Science 2025-03-06 Ashwin Viswanathan Kannan , Johnson P Thomas , Abhimanyu Mukerji

We present a new network model accounting for multidimensional assortativity. Each node is characterized by a number of features and the probability of a link between two nodes depends on common features. We do not fix a priori the total…

Social and Information Networks · Computer Science 2016-01-19 Irene Crimaldi , Michela Del Vicario , Greg Morrison , Walter Quattrociocchi , Massimo Riccaboni

We present a model, in which some nodes (called interconnecting nodes) in two networks merge and play the roles in both the networks. The model analytic and simulation discussions show a monotonically increasing dependence of…

Physics and Society · Physics 2010-08-27 Yan-Qin Qu , Xiu-Lian Xu , Shan Guan , Kai-Jun Li , Si-Jun Pan , Chang-Gui Gu , Yu-Mei Jiang , Da-Ren He

A model of Boolean agents competing in a market is presented where each agent bases his action on information obtained from a small group of other agents. The agents play a competitive game that rewards those in the minority. After a long…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler , Alvaro Corral
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