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Boolean Networks have been used to study numerous phenomena, including gene regulation, neural networks, social interactions, and biological evolution. Here, we propose a general method for determining the critical behavior of Boolean…

无序系统与神经网络 · 物理学 2009-11-11 Andre A. Moreira , Luis A. N. Amaral

Randomly coupled Ising spins constitute the classical model of collective phenomena in disordered systems, with applications covering ferromagnetism, combinatorial optimization, protein folding, stock market dynamics, and social dynamics.…

无序系统与神经网络 · 物理学 2016-08-24 David Dahmen , Hannah Bos , Moritz Helias

The complexity of human behaviour can lead to very unpredictable patterns in social activity and structure. Here we demonstrate the instability of a community network controlled by majority ruling, where an element adopts the most popular…

元胞自动机与格子气 · 物理学 2016-05-17 V. F. Kusmartsev , F. V. Kusmartsev

Ideas, behaviors, and opinions spread through social networks. If the probability of spreading to a new individual is a non-linear function of the fraction of the individuals' affected neighbors, such a spreading process becomes a "complex…

物理与社会 · 物理学 2023-08-30 Julian Kates-Harbeck , Michael M. Desai

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

系统与控制 · 电气工程与系统科学 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

This paper focuses on a fundamental inquiry in a coupled oscillator model framework. It specifically addresses the direction of net information flow in mutually coupled non-identical chaotic oscillators. Adopting a specific form of…

混沌动力学 · 物理学 2025-01-28 Anupam Ghosh , X. San Liang , Pouya Manshour , Milan Paluš

Information diffusion on social networks has been described as a collective outcome of threshold behaviors in the framework of threshold models. However, since the existing models do not take into account individuals' optimization problem,…

物理与社会 · 物理学 2022-09-08 Teruyoshi Kobayashi

Objective: This work introduces a framework for multivariate time series analysis aimed at detecting and quantifying collective emerging behaviors in the dynamics of physiological networks. Methods: Given a network system mapped by a vector…

应用统计 · 统计学 2025-02-04 Luca Faes , Gorana Mijatovic , Laura Sparacino , Alberto Porta

Data from spectrophotometers form vectors of a large number of exploitable variables. Building quantitative models using these variables most often requires using a smaller set of variables than the initial one. Indeed, a too large number…

机器学习 · 计算机科学 2007-09-26 Fabrice Rossi , Amaury Lendasse , Damien François , Vincent Wertz , Michel Verleysen

We discuss the complex dynamics of a non-linear random networks model, as a function of the connectivity k between the elements of the network. We show that this class of networks exhibit an order-chaos phase transition for a critical…

适应与自组织系统 · 物理学 2013-05-29 M. Andrecut , S. A. Kauffman

We present a novel methodology for predicting future outcomes that uses small numbers of individuals participating in an imperfect information market. By determining their risk attitudes and performing a nonlinear aggregation of their…

统计力学 · 物理学 2008-12-02 Kay-Yut Chen , Leslie R. Fine , Bernardo A. Huberman

Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to establish whether or to what extent the interactions between the…

神经元与认知 · 定量生物学 2016-11-02 Elliot A. Martin , Jaroslav Hlinka , Jörn Davidsen

Living in groups brings benefits to many animals, such as a protection against predators and an improved capacity for sensing and making decisions while searching for resources in uncertain environments. A body of studies has shown how…

种群与进化 · 定量生物学 2019-01-23 Andrea Falcón-Cortés , Denis Boyer , Gabriel Ramos-Fernández

This article presents a theoretical investigation of computation beyond the Turing barrier from emergent behavior in distributed systems. In particular, we present an algorithmic network that is a mathematical model of a networked…

分布式、并行与集群计算 · 计算机科学 2019-10-08 Felipe S. Abrahão , Ítala M. Loffredo D'Ottaviano , Klaus Wehmuth , Francisco Antônio Dória , Artur Ziviani

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

The Information bottleneck method is an unsupervised non-parametric data organization technique. Given a joint distribution P(A,B), this method constructs a new variable T that extracts partitions, or clusters, over the values of A that are…

机器学习 · 计算机科学 2013-01-14 Nir Friedman , Ori Mosenzon , Noam Slonim , Naftali Tishby

Assessing the synergistic high-order behaviors (HOBs) that emerge from underlying structural mechanisms is crucial to characterize complex systems. This work leverages the combined use of predictability and information measures to detect…

Recently, several complex network approaches to time series analysis have been developed and applied to study a wide range of model systems as well as real-world data, e.g., geophysical or financial time series. Among these techniques,…

混沌动力学 · 物理学 2012-03-23 Reik V. Donner , Jobst Heitzig , Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

混沌动力学 · 物理学 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli

Chaotic maps are very important for establishing chaos-based image encryption systems. This paper introduces a coupling chaotic system based on a certain unit transform, which can combine any two 1D chaotic maps to generate a new one with…

密码学与安全 · 计算机科学 2019-09-19 Guozhen Hu , Baobin Li