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As a promising computational paradigm, occurrence of critical states in artificial and biological neural networks has attracted wide-spread attention. An often-made explicit or implicit assumption is that one single critical state is…

神经元与认知 · 定量生物学 2017-08-15 Karlis Kanders , Tom Lorimer , Yoko Uwate , Willi-Hans Steeb , Ruedi Stoop

Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

The contact process is a simple infection spreading model showcasing an out-of-equilibrium phase transition between a macroscopically active and an inactive phase. Such absorbing state phase transitions are often sensitive to the presence…

统计力学 · 物理学 2025-09-22 Leone V. Luzzatto , Juan Felipe Barrera López , István A. Kovács

Network structure strongly constrains the range of dynamic behaviors available to a complex system. These system dynamics can be classified based on their response to perturbations over time into two distinct regimes, ordered or chaotic,…

无序系统与神经网络 · 物理学 2009-11-13 Matti Nykter , Nathan D. Price , Antti Larjo , Tommi Aho , Stuart A. Kauffman , Olli Yli-Harja , Ilya Shmulevich

This chapter provides a comprehensive overview of controlling collective behavior in complex systems comprising large ensembles of interacting dynamical agents. Building upon traditional control theory's foundation in individual systems, we…

系统与控制 · 电气工程与系统科学 2025-07-01 Marco Coraggio , Davide Salzano , Mario di Bernardo

Economic interdependencies have become increasingly present in globalized production, financial and trade systems. While establishing interdependencies among economic agents is crucial for the production of complex products, they may also…

物理与社会 · 物理学 2019-12-23 Aymeric Vié , Alfredo J. Morales

We present a modeling framework for dynamical and bursty contact networks made of agents in social interaction. We consider agents' behavior at short time scales, in which the contact network is formed by disconnected cliques of different…

物理与社会 · 物理学 2010-03-09 Juliette Stehle , Alain Barrat , Ginestra Bianconi

Many-body systems when continuous phase transition occurs are mainly built in the interrelationship between particles, implemented through many-body correlations. Some of them may exhibit so-called topological order hardly measured by…

统计力学 · 物理学 2015-06-17 Chung-Pin Chou , Yi-Hua Wang , Ming-Chiang Chung

We analyse the flow of information in multiplex networks by means of the communicability function. First, we generalize this measure from its definition from simple graphs to multiplex networks. Then, we study its relevance for the analysis…

物理与社会 · 物理学 2015-06-18 Ernesto Estrada , Jesus Gomez-Gardenes

Understanding how local perturbations induce the transient dynamics of a network of coupled units is essential to control and operate such systems. Often a perturbation initiated in one unit spreads to other units whose dynamical state they…

物理与社会 · 物理学 2021-06-02 Malte Schröder , Xiaozhu Zhang , Justine Wolter , Marc Timme

In order to model volatile real-world network behavior, we analyze phase-flipping dynamical scale-free network in which nodes and links fail and recover. We investigate how stochasticity in a parameter governing the recovery process affects…

物理与社会 · 物理学 2015-06-18 B. Podobnik , A. Majdandzic , C. Curme , Z. Qiao , W. -X. Zhou , H. E. Stanley , B. Li

The emergence and evolution of real-world systems have been extensively studied in the last few years. However, equally important phenomena are related to the dynamics of systems' collapse, which has been less explored, especially when they…

物理与社会 · 物理学 2019-09-27 Jie Li , Chengyi Xia , Gaoxi Xiao , Yamir Moreno

Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

The dynamics of competing opinions in social network play an important role in society, with many applications in diverse social contexts as consensus, elections, morality and so on. Here we study a model of interacting agents connected in…

物理与社会 · 物理学 2022-09-29 Antonio Mihara , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

This study is concerned with the dynamical behaviors of epidemic spreading over a two-layered interconnected network. Three models in different levels are proposed to describe cooperative spreading processes over the interconnected network,…

物理与社会 · 物理学 2017-02-15 Xiang Wei , Xiaoqun Wu , Shihua Chen , Jun-an Lu , Guanrong Chen

The modeling of the spreading of communicable diseases has experienced significant advances in the last two decades or so. This has been possible due to the proliferation of data and the development of new methods to gather, mine and…

物理与社会 · 物理学 2020-09-09 Alberto Aleta , Guilherme Ferraz de Arruda , Yamir Moreno

Revealing physical interactions in complex systems from observed collective dynamics constitutes a fundamental inverse problem in science. Current reconstruction methods require access to a system's model or dynamical data at a level of…

物理与社会 · 物理学 2018-01-18 Mor Nitzan , Jose Casadiego , Marc Timme

Random Threshold Networks (RTNs) are an idealized model of diluted, non symmetric spin glasses, neural networks or gene regulatory networks. RTNs also serve as an interesting general example of any coordinated causal system. Here we study…

定量方法 · 定量生物学 2009-01-14 M. Andrecut , D. Foster , H. Carteret , S. A. Kauffman

The increased complexity of infrastructure systems has resulted in critical interdependencies between multiple networks---communication systems require electricity, while the normal functioning of the power grid relies on communication…

物理与社会 · 物理学 2020-11-10 Michael M. Danziger , Albert-László Barabási

Advanced inference techniques allow one to reconstruct the pattern of interaction from high dimensional data sets. We focus here on the statistical properties of inferred models and argue that inference procedures are likely to yield models…

数据分析、统计与概率 · 物理学 2013-10-09 Iacopo Mastromatteo , Matteo Marsili