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We study the synchronization transition in scale-free networks that display power-law asymptotic behaviors in their degree distributions. The critical coupling strength and the order-parameter critical exponent derived by the mean field…

Statistical Mechanics · Physics 2007-05-23 Deok-Sun Lee

Small-world networks (SWN) are found to be closer to the real social systems than both regular and random lattices. Then, a model for the evolution of economic systems is generalized to SWN. The Sznajd model for the two-state opinion…

Statistical Mechanics · Physics 2009-11-07 A. S. Elgazzar

In this paper, we investigate the so-called ``Sznajd Model'' (SM) in one dimension, which is a simple cellular automata approach to consensus formation among two opposite opinions (described by spin up or down). To elucidate the SM…

Statistical Mechanics · Physics 2009-11-10 Laxmidhar Behera , Frank Schweitzer

The traditional Sznajd model, as well as its Ochrombel simplification, for opinion spreading are modified to have a convincing strength proportional to a negative power of the spatial distance. We find the usual phase transition in the full…

Statistical Mechanics · Physics 2009-11-07 Christian Schulze

We study the Hegselmann-Krause model of opinion dynamics on sparse, unbiased networks generated via Wilson's algorithm, unveiling how network connectivity and confidence bounds jointly determine collective behavior. By systematically…

Physics and Society · Physics 2025-07-22 Paolo Molignini

The Sznajd model is a sociophysics model, that is used to model opinion propagation and consensus formation in societies. Its main feature is that its rules favour bigger groups of agreeing people. In a previous work, we generalized the…

Physics and Society · Physics 2021-02-25 André M. Timpanaro , Carmen P. C. Prado

This paper considers the consensus problem for a network of nodes with random interactions and sampled-data control actions. We first show that consensus in expectation, in mean square, and almost surely are equivalent for a general random…

Systems and Control · Computer Science 2016-08-24 Junfeng Wu , Ziyang Meng , Tao Yang , Guodong Shi , Karl H. Johansson

In this work we present novel results to the problem of the Hegselmann-Krause dynamics in networks obtained by an extensive study of the behavior of the standard order parameter sensitive to the onset of consensus: the normalized size of…

Physics and Society · Physics 2021-06-16 Hendrik Schawe , Sylvain Fontaine , Laura Hernández

Models of the consensus of the individual state in social systems have been the subject of recent researches in the physics literature. We investigate how network structures coevolve with the individual state under the framework of social…

Social and Information Networks · Computer Science 2020-05-15 Kaiqi Zhang , Zinan Lv , Haifeng Du , Honghu Zou

The Sznajd model, where two people having the same opinion can convince their neighbours on the square lattice, is modified in the sense of Deffuant et al and Hegselmann, that only neighbours of similar opinions can be convinced. Then…

Statistical Mechanics · Physics 2009-11-07 D. Stauffer

A fundamental question related to innovation diffusion is how the social network structure influences the process. Empirical evidence regarding real-world influence networks is very limited. On the other hand, agent-based modeling…

Physics and Society · Physics 2015-06-17 Katarzyna Sznajd-Weron , Janusz Szwabinski , Rafal Weron , Tomasz Weron

Synchronization problems in complex networks are very often studied by researchers due to its many applications to various fields such as neurobiology, e-commerce and completion of tasks. In particular, Scale Free networks with degree…

Physics and Society · Physics 2015-07-07 Débora Torres , Matías A. Di Muro , Cristian E. La Rocca , Lidia A. Braunstein

Motivated by a synchronization problem in distributed computing we studied a simple growth model on regular and small-world networks, embedded in one and two-dimensions. We find that the synchronization landscape (corresponding to the…

Statistical Mechanics · Physics 2007-05-23 H. Guclu , G. Korniss , M. A. Novotny , Z. Toroczkai , Z. Racz

Contrary to many recent models of growing networks, we present a model with fixed number of nodes and links, where it is introduced a dynamics favoring the formation of links between nodes with degree of connectivity as different as…

Statistical Mechanics · Physics 2007-05-23 M. Baiesi , S. S. Manna

The propensity for synchronization is studied in a complex network of asymmetrically coupled units, where the asymmetry in a given link is determined by the relative age of the involved nodes. In growing scale-free networks synchronization…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dong-Uk Hwang , Mario Chavez , Andreas Amann , Stefano Boccaletti

In the last decade the Sznajd Model has been successfully employed in modeling some properties and scale features of both proportional and majority elections. We propose a new version of the Sznajd model with a generalized bounded…

Statistical Mechanics · Physics 2011-02-28 André M. Timpanaro , Carmen P. C. Prado

The Sznajd model is an Ising spin model representing a simple mechanism of making up decisions in a closed community. In the model each member of the community can take two attitudes A or B represented by a spin up or spin down state…

Statistical Mechanics · Physics 2007-05-23 Juan R. Sanchez

The Nowak modification of the Sznajd opinion dynamics model on the square lattice assumes that with probabilities beta and gamma the opinions flip due to mass-media advertising from down to up, and vice versa. Besides, with probability…

Physics and Society · Physics 2009-03-30 Maciej Woloszyn , Dietrich Stauffer , Krzysztof Kulakowski

The method of Damage Spreading was used to simulate the influence that a single persons' change of opionion has on the consensus opinion built up in a population if one assumes opinions to form according to the Sznajd Model. The results…

Disordered Systems and Neural Networks · Physics 2009-11-10 Nina Klietsch

In the past few years, the discoveries of small-world and scale-free properties of many natural and artificial complex networks have stimulated significant advances in better understanding the relationship between the topology and the…

Disordered Systems and Neural Networks · Physics 2009-09-29 Xiang Li