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The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

无序系统与神经网络 · 物理学 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

Complex systems, when poised near a critical point of a phase transition between order and disorder, exhibit a dynamics comprising a scale-free mixture of order and disorder which is universal, i.e. system-independent (1-5). It allows…

神经元与认知 · 定量生物学 2009-12-31 Dietmar Plenz , Dante R. Chialvo

We analyze a two-dimensional spring network model comprising breakable and unbreakable springs. Computer simulations showed this system to exhibit intermittent stress drops in a larger strain regime, and these stress drops resulted in…

统计力学 · 物理学 2024-05-02 Haruka Noguchi , Satoshi Yukawa

Brain-like self-assembled networks can infer and analyze information out of unorganized noisy signals with minimal power consumption. These networks are characterized by spatiotemporal avalanches and their crackling behavior, and their…

无序系统与神经网络 · 物理学 2024-04-30 Vivek Dey , Steffen Kampman , Rafael Gutierrez , Gianaurelio Cuniberti , Pavan Nukala

Many complex systems--from social and communication networks to biological networks and the Internet--are thought to exhibit scale-free structure. However, prevailing explanations rely on the constant addition of new nodes, an assumption…

适应与自组织系统 · 物理学 2022-11-10 Christopher W. Lynn , Caroline M. Holmes , Stephanie E. Palmer

We present a study of the fiber bundle model using equal load sharing dynamics where the breaking thresholds of the fibers are drawn randomly from a power law distribution of the form $p(b)\sim b^{-1}$ in the range $10^{-\beta}$ to…

无序系统与神经网络 · 物理学 2019-06-21 Chandreyee Roy , Sumanta Kundu , S. S. Manna

Neural systems process information in a dynamical regime between silence and chaotic dynamics. This has lead to the criticality hypothesis which suggests that neural systems reach such a state by self-organizing towards the critical point…

无序系统与神经网络 · 物理学 2021-03-10 Stefan Landmann , Lorenz Baumgarten , Stefan Bornholdt

We study precursors of failure in hierarchical random fuse network models which can be considered as idealizations of hierarchical (bio)materials where fibrous assemblies are held together by multi-level (hierarchical) cross-links. When…

无序系统与神经网络 · 物理学 2019-07-10 Paolo Moretti , Bastien Dietemann , Michael Zaiser

Living neuronal networks in dissociated neuronal cultures are widely known for their ability to generate highly robust spatiotemporal activity patterns in various experimental conditions. These include neuronal avalanches satisfying the…

适应与自组织系统 · 物理学 2022-05-17 I. Y. Tyukin , D. Iudin , F. Iudin , T. Tyukina , V. Kazantsev , I. Mukhina , A. N. Gorban

Networks of living neurons exhibit an avalanche mode of activity, experimentally found in organotypic cultures. Moreover, experimental studies of morphology indicate that neurons develop a network of small-world-like connections, with the…

神经元与认知 · 定量生物学 2007-05-23 G. L. Pellegrini , L. de Arcangelis , H. J. Herrmann , C. Perrone-Capano

A bundle of fibers has been considered here as a model for composite materials, where breaking of the fibers occur due to a combined influence of applied load (stress) and external noise. Through numerical simulation and a mean-field…

统计力学 · 物理学 2013-07-26 Srutarshi Pradhan , Anjan Kumar Chandra , Bikas K. Chakrabarti

We study the critical behavior of a driven interface in a medium with random pinning forces by analyzing spatial and temporal correlations in a lattice model recently proposed by Sneppen [Phys. Rev. Lett. {\bf 69}, 3539 (1992)]. The static…

凝聚态物理 · 物理学 2009-10-22 Heiko Leschhorn , Lei-Han Tang

A new model about cascading occurrences caused by perturbation is established to search after the mechanism because of which catastrophes in networks occur. We investigate the avalanche dynamics of our model on 2-dimension Euclidean…

统计力学 · 物理学 2009-11-10 Tao Zhou , Bing-Hong Wang

We reveal the nature of the avalanche collapse of the giant viable component in multiplex networks under perturbations such as random damage. Specifically, we identify latent critical clusters associated with the avalanches of random…

统计力学 · 物理学 2015-03-20 G. J. Baxter , S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

物理与社会 · 物理学 2010-10-21 Scott A. Hill , Dan Braha

Preferential attachment is one possible way to obtain a scale-free network. We develop a self-consistent method to determine whether preferential attachment occurs during the growth of a network, and to extract the preferential attachment…

统计力学 · 物理学 2007-05-23 Claire P. Massen , Jonathan P. K. Doye

The model of the current paper is an extension of a previous publication, wherein we used the leaky integrate-and-fire model on a regular lattice with periodic boundary conditions, and introduced the temporal complexity as a genuine…

无序系统与神经网络 · 物理学 2016-12-14 Mohammad Dehghani Habibabadi , Marzieh Zare , Farhad Shahbazi , Javad Usefie-Mafahim , Paolo Grigolini

We consider first a homogeneous fiber bundle model where all the fibers have got the same stress threshold beyond which all fail simultaneously in absence of noise. At finite noise, the bundle acquires a fatigue behavior due to the…

统计力学 · 物理学 2009-11-07 Srutarshi Pradhan , Bikas K. Chakrabarti

We investigate a network model in which a single random walker combines local diffusion with preferential resetting to previously visited nodes. Each arrival deposits one unit of stress on the target node, and threshold crossings trigger…

统计力学 · 物理学 2026-04-14 Mohammad Jafari

Charge transport in electrorheological fluids is studied experimentally under strongly nonequlibrium conditions. By injecting an electrical current into a suspension of conducting nanoparticles we are able to initiate a process of…

软凝聚态物质 · 物理学 2009-10-31 A. Bezryadin , R. M. Westervelt , M. Tinkham