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We consider the prisoner's dilemma being played repeatedly on a dynamic network, where agents may choose their actions as well as their co-players. This leads to co-evolution of network structure and strategy patterns of the players.…

物理与社会 · 物理学 2007-06-26 Christoly Biely , Klaus Dragosits , Stefan Thurner

Models of cooperation grounded on social networks and on the ability of individuals to choose actions and partners aim to describe human social behavior. Extensive computer simulations of these models give important insight in the social…

物理与社会 · 物理学 2007-05-23 Victor M. Eguluz , Martin G. Zimmermann , Camilo J. Cela-Conde , Maxi San Miguel

In many real-world complex systems, the time-evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here, we study opinion formation and imitation on an adaptive complex network which is dependent on…

物理与社会 · 物理学 2016-04-11 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Wolfgang Lucht , Jürgen Kurths

Many real-world systems can be modeled as networks of interacting oscillatory units. Collective dynamics that are of functional relevance for the oscillator network, such as switching between metastable states, arise through the interplay…

动力系统 · 数学 2019-08-05 Christian Bick

We introduce a model for dynamic networks, where the links or the strengths of the links change over time. We solve the model by mapping dynamic networks to the problem of directed percolation, where the direction corresponds to the…

无序系统与神经网络 · 物理学 2015-05-13 Roni Parshani , Mark Dickison , Reuven Cohen , H. Eugene Stanley , Shlomo Havlin

Dynamic networks are used in a wide range of fields, including social network analysis, recommender systems, and epidemiology. Representing complex networks as structures changing over time allow network models to leverage not only…

社会与信息网络 · 计算机科学 2021-06-15 Joakim Skarding , Bogdan Gabrys , Katarzyna Musial

Statistical analysis on networks has received growing attention due to demand from various emerging applications. In dynamic networks, one of the key interests is to model the event history of time-stamped interactions amongst nodes. We…

统计方法学 · 统计学 2018-10-09 Tony Sit , Zhiliang Ying , Yi Yu

Dimension reduction is a common strategy to study non-linear dynamical systems composed by a large number of variables. The goal is to find a smaller version of the system whose time evolution is easier to predict while preserving some of…

动力系统 · 数学 2022-06-23 Marina Vegué , Vincent Thibeault , Patrick Desrosiers , Antoine Allard

This chapter discusses the interplay between structure and dynamics in complex networks. Given a particular network with an endowed dynamics, our goal is to find partitions aligned with the dynamical process acting on top of the network. We…

社会与信息网络 · 计算机科学 2020-05-08 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

In the paper we discuss the dynamics of the order parameter in complex networks with long-range space interactions and temporal memory and analyze phase transitions induced by noise in such systems.

统计力学 · 物理学 2015-12-03 Bahruz Gadjiev , Tatiana Progulova , Sergey Timoshin

Since many real world networks are evolving over time, such as social networks and user-item networks, there are increasing research efforts on dynamic network embedding in recent years. They learn node representations from a sequence of…

社会与信息网络 · 计算机科学 2021-03-30 Guotong Xue , Ming Zhong , Jianxin Li , Jia Chen , Chengshuai Zhai , Ruochen Kong

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

物理与社会 · 物理学 2009-11-11 Chunguang Li , Philip K. Maini

We study the evolution of networks when the creation and decay of links are based on the position of nodes in the network measured by their centrality. We show that the same network dynamics arises under various centrality measures, and…

物理与社会 · 物理学 2013-05-29 Michael D. Koenig , Claudio J. Tessone

What drives the propensity for the social network dynamics? Social influence is believed to drive both off-line and on-line human behavior, however it has not been considered as a driver of social network evolution. Our analysis suggest…

物理与社会 · 物理学 2016-05-27 Yang Yang , Nitesh V. Chawla , Ryan N. Lichtenwalter , Yuxiao Dong

Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a…

动力系统 · 数学 2017-02-07 Christian Bick , Michael Field

Small-world (SW) networks have been identified in many different fields. Topological coefficients like the clustering coefficient and the characteristic path length have been used in the past for a qualitative characterization of these…

统计力学 · 物理学 2016-08-16 Tanya Araujo , R. Vilela Mendes , João Seixas

Networks are universally considered as complex structures of interactions of large multi-component systems. In order to determine the role that each node has inside a complex network, several centrality measures have been developed. Such…

物理与社会 · 物理学 2019-08-20 Malbor Asllani , Bruno Requiao da Cunha , Ernesto Estrada , James P. Gleeson

We study a mathematical model to describe the evolution of a city, which is determined by the interaction of two large populations of agents, workers and firms. The map of the city is described by a network with the edges representing at…

最优化与控制 · 数学 2024-08-12 Fabio Camilli , Adriano Festa , Luciano Marzufero

From critical infrastructure, to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppresses the functioning of nodes in another. Despite advances…

统计力学 · 物理学 2019-02-20 Michael M. Danziger , Ivan Bonamassa , Stefano Boccaletti , Shlomo Havlin

Time-discrete dynamical systems on a finite state space have been used with great success to model natural and engineered systems such as biological networks, social networks, and engineered control systems. They have the advantage of being…

组合数学 · 数学 2015-03-17 Alan Veliz-Cuba , Reinhard Laubenbacher