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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…

Statistical Mechanics · Physics 2026-04-14 Mohammad Jafari

Scale-free dynamics in physical and biological systems can arise from a variety of causes. Here, we explore a branching process which leads to such dynamics. We find conditions for the appearance of power laws and study quantitatively what…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christoph Adami , Johan Chu

According to the exact controllability theory, the controllability is investigated analytically for two typical types of self-similar bipartite networks, i.e., the classic deterministic scale-free networks and Cayley trees. Due to their…

Physics and Society · Physics 2015-07-02 Ming Xu , Chuan-Yun Xu , Huan Wang , Cong-Zheng Deng , Ke-Fei Cao

We perform a new analysis on the dissipative Olami-Feder-Christensen model on a small world topology considering avalanche size differences. We show that when criticality appears the Probability Density Functions (PDFs) for the avalanche…

Statistical Mechanics · Physics 2009-09-29 Filippo Caruso , Alessandro Pluchino , Vito Latora , Sergio Vinciguerra , Andrea Rapisarda

The critical behaviour of a Random Fiber Bundle Model with mixed uniform distribution of threshold strengths and global load sharing rule is studied with a special emphasis on the nature of distribution of avalanches for different…

Statistical Mechanics · Physics 2009-11-11 Uma Divakaran , Amit Dutta

It has recently been shown that the average energy required to control a subset of nodes in a complex network scales exponentially with the cardinality of the subset. While the mean scales exponentially, the variance of the control energy…

Physics and Society · Physics 2018-08-23 Isaac Klickstein , Francesco Sorrentino

Uniform spherical beads were used to explore the behavior of a granular system near its critical angle of repose on a conical bead pile. We found two tuning parameters that could take the system to a critical point where a simple power-law…

As a fundamental problem in network science, network dismantling focuses on identifying a set of critical nodes whose removal sharply reduces a network's connectivity and functionality. Potential applications include stopping rumor spread,…

Physics and Society · Physics 2025-12-15 Xueming Liu , Jiawen Hu , Yumei Wang , Yang-Yu Liu , Hai-Tao Zhang

We consider epidemic extinction in finite networks with broad variation in local connectivity. Generalizing the theory of large fluctuations to random networks with a given degree distribution, we are able to predict the most probable, or…

Adaptation and Self-Organizing Systems · Physics 2016-07-07 Jason Hindes , Ira B. Schwartz

A central issue in complex networks is tolerance to random failures and intentional attacks. Current literature emphasizes the dichotomy between networks with a power-law node connectivity distribution, which are robust to random failures…

Statistical Mechanics · Physics 2009-11-10 Andre X. C. N. Valente , Abhijit Sarkar , Howard A. Stone

A new quantity, average fitness, is introduced in Bak-Sneppen evolution model. Through this new quantity, a new hierarchy of avalanches is observed in the evolution of Bak-Sneppen model. An exact gap equation, governing the…

Statistical Mechanics · Physics 2007-05-23 W. Li , X. Cai

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…

Disordered Systems and Neural Networks · Physics 2024-04-30 Vivek Dey , Steffen Kampman , Rafael Gutierrez , Gianaurelio Cuniberti , Pavan Nukala

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

This work presents a novel ensemble of Bayesian Neural Networks (BNNs) for control of safety-critical systems. Decision making for safety-critical systems is challenging due to performance requirements with significant consequences in the…

Robotics · Computer Science 2020-01-10 Keuntaek Lee , Ziyi Wang , Bogdan I. Vlahov , Harleen K. Brar , Evangelos A. Theodorou

Recently it has been shown that the control energy required to control a dynamical complex network is prohibitively large when there are only a few control inputs. Most methods to reduce the control energy have focused on where, in the…

Systems and Control · Computer Science 2017-05-24 Isaac S. Klickstein , Afroza Shirin , Francesco Sorrentino

In this paper, we study the distributed control of networked cyber-physical systems when a much more energy-efficient distributed communication management strategy is proposed to solve the well-studied consensus problem. In contrast to the…

Systems and Control · Computer Science 2016-09-14 Yongcan Cao , Eduardo Pasiliao

Recent experiments on cortical neural networks have revealed the existence of well-defined avalanches of electrical activity. Such avalanches have been claimed to be generically scale-invariant -- i.e. power-law distributed -- with many…

Disordered Systems and Neural Networks · Physics 2015-05-18 Juan A. Bonachela , Sebastiano de Franciscis , Joaquin J. Torres , Miguel A. Munoz

We study the Bak-Sneppen model in the probabilistic framework of the Run Time Statistics (RTS). This model has attracted a large interest for its simplicity being a prototype for the whole class of models showing Self-Organized Criticality.…

Statistical Mechanics · Physics 2009-11-07 M. Felici , G. Caldarelli , A. Gabrielli , L. Pietronero

Attacks on networks is a very important issue in developing strategies of eradicating spreads of malicious phenomena in networks, such as epidemics and fake information, which are generally named in the research networks immunization. The…

Physics and Society · Physics 2022-10-26 Amikam Patron

We investigate the avalanche temporal statistics of the Susceptible-Infected-Susceptible (SIS) model when the dynamics is critical and takes place on finite random networks. By considering numerical simulations on annealed topologies we…

Statistical Mechanics · Physics 2023-02-23 Daniele Notarmuzi , Alessandro Flammini , Claudio Castellano , Filippo Radicchi