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We investigate a random--neighbours version of the two dimensional non-conserving earthquake model of Olami, Feder and Christensen [Phys. Rev. Lett. {\bf 68}, 1244 (1992)]. We show both analytically and numerically that criticality can be…

凝聚态物理 · 物理学 2009-10-28 Stefano Lise , Henrik Jeldtoft Jensen

Many real-world complex networks simultaneously exhibit topological features of scale-free behaviour and hierarchical organization. In this regard, deterministic scale-free [A.-L. Barab\'asi \etal, Physica A, 299, 3 (2001)] and…

物理与社会 · 物理学 2017-11-22 Chiranjit Mitra , Jürgen Kurths , Reik V. Donner

In this paper we deal with the structural properties of weighted networks. Starting from an empirical analysis of a linguistic network, we analyse the differences between the statistical properties of a real and a shuffled network and we…

数据分析、统计与概率 · 物理学 2009-09-07 A. P. Masucci , G. J. Rodgers

The co-evolution of network topology and dynamics is studied in an evolutionary Boolean network model that is a simple model of gene regulatory network. We find that a critical state emerges spontaneously resulting from interplay between…

统计力学 · 物理学 2007-05-23 Min Liu , Kevin E. Bassler

The concept of "self-organized criticality" (SOC) has been introduced by Bak, Tang, and Wiesenfeld (1987) to describe the statistics of avalanches on the surface of a sandpile with a critical slope, which produces a scale-free powerlaw size…

太阳与恒星天体物理 · 物理学 2010-03-02 Markus J. Aschwanden

Fixed-energy sandpile (FES) models, introduced to understand the self-organized criticality, show a continuous phase transition between absorbing and active phases. In this work, we study the dynamics of the deterministic FES models on…

统计力学 · 物理学 2022-01-21 Davood Fazli , Nahid Azimi-Tafreshi

In recent years self organised critical neuronal models have provided insights regarding the origin of the experimentally observed avalanching behaviour of neuronal systems. It has been shown that dynamical synapses, as a form of short-term…

适应与自组织系统 · 物理学 2018-03-28 L. Michiels van Kessenich , M. Luković , L. de Arcangelis , H. J. Herrmann

In a range of scientific coauthorship networks, transitions emerge in degree distributions, correlations between degrees and local clustering coefficients, etc. The existence of those transitions could be regarded as a result of the…

物理与社会 · 物理学 2018-06-19 Zheng Xie , Enming Dong , Dongyun Yi , Ouyang Zhenzheng , Jianping Li

Growing networks decorated with antiferromagnetically coupled spins are archetypal examples of complex systems due to the frustration and the multivalley character of their energy landscapes. Here we use the damage spreading method (DS) to…

无序系统与神经网络 · 物理学 2015-05-13 Joanna Tomkowicz , Krzysztof Kulakowski

We investigate the complex spatio-temporal dynamics in avalanche driven surface growth by means of scaling theory. We study local activity statistics, avalanche kinetics, and temporal correlations in the global interface velocity, obtaining…

统计力学 · 物理学 2015-05-19 Juan M. Lopez , Marc Pradas , Aurora Hernandez-Machado

Recently, some studies started to unveil the wealthy of interactions that occur between groups of nodes when looking at the small scale of interactions taking place in complex networks. Such findings claim for a new systematic methodology…

物理与社会 · 物理学 2016-07-26 Cesar H. Comin , João B. Bunoro , Matheus P. Viana , Luciano da F. Costa

Transport in complex networks can describe a variety of natural and human-engineered processes including biological, societal and technological ones. However, how the properties of the source and drain nodes can affect transport subject to…

Vegetation patterns are abundant in arid and semiarid ecosystems, but how they form remains unclear. One of the most extended theories lies in the existence of scale-dependent feedbacks (SDF) in plant-to-plant and plant-water interactions.…

种群与进化 · 定量生物学 2018-01-08 Ricardo Martinez-Garcia , Cristobal Lopez

The paper is concerned with the interplay between network structure and traffic dynamics in a communications network, from the viewpoint of end-to-end performance of packet transfer. We use a model of network generation that allows the…

无序系统与神经网络 · 物理学 2016-11-18 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

Sand pile models are dynamical systems emphasizing the phenomenon of Self Organized Criticality (SOC). From N stacked grains, iterating evolution rules leads to some critical configuration where a small disturbance has deep consequences on…

离散数学 · 计算机科学 2013-02-19 Kevin Perrot , Eric Rémila

The short-time and long-time dynamics of the Bak-Sneppen model of biological evolution are investigated using the damage spreading technique. By defining a proper Hamming distance measure, we are able to make it exhibits an initial…

统计力学 · 物理学 2007-05-23 U. Tirnakli , M. L. Lyra

We examine a model of network formation in single-layer and multiplex networks in which individuals have positive incentives for social ties, closed triangles, and spillover edges. In particular, we investigate the influence of shocks to…

社会与信息网络 · 计算机科学 2018-05-18 Paul E. Smaldino , Raissa D'Souza , Zeev Maoz

Instances of critical-like characteristics in living systems at each organizational level as well as the spontaneous emergence of computation (Langton), indicate the relevance of self-organized criticality (SOC). But extrapolating complex…

其他定量生物学 · 定量生物学 2012-08-23 Gargi Mitra-Delmotte , A. N. Mitra

We study the effects of conformity, the tendency of humans to imitate locally common behaviors, in the evolution of cooperation when individuals occupy the vertices of a graph and engage in the one-shot Prisoner's Dilemma or the Snowdrift…

物理与社会 · 物理学 2010-11-24 Jorge Pena , Henri Volken , Enea Pestelacci , Marco Tomassini

We develop a dynamical system approach for the Zhang's model of Self-Organized Criticality, for which the dynamics can be described either in terms of Iterated Function Systems, or as a piecewise hyperbolic dynamical system of skew-product…

统计力学 · 物理学 2007-05-23 Ph. Blanchard , B. Cessac , T. Krueger