Critical phenomena in complex networks

SN Dorogovtsev, AV Goltsev, JFF Mendes - Reviews of Modern Physics, 2008‏ - APS
The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

Analyzing and modeling real-world phenomena with complex networks: a survey of applications

LF Costa, ON Oliveira Jr, G Travieso… - Advances in …, 2011‏ - Taylor & Francis
The success of new scientific areas can be assessed by their potential in contributing to new
theoretical approaches and in applications to real-world problems. Complex networks have …

The structure and function of complex networks

MEJ Newman - SIAM review, 2003‏ - SIAM
Inspired by empirical studies of networked systems such as the Internet, social networks,
and biological networks, researchers have in recent years developed a variety of techniques …

[کتاب][B] The structure and dynamics of networks

M Newman, AL Barabási, DJ Watts - 2011‏ - degruyter.com
From the Internet to networks of friendship, disease transmission, and even terrorism, the
concept--and the reality--of networks has come to pervade modern society. But what exactly …

Nonequilibrium transitions in complex networks: A model of social interaction

K Klemm, VM Eguíluz, R Toral, M San Miguel - Physical review E, 2003‏ - APS
We analyze the nonequilibrium order-disorder transition of Axelrod's model of social
interaction in several complex networks. In a small-world network, we find a transition …

Stochastic resonance on excitable small-world networks via a pacemaker

M Perc - Physical Review E—Statistical, Nonlinear, and Soft …, 2007‏ - APS
We show that the correlation between the frequency of subthreshold pacemaker activity and
the response of an excitable array is resonantly dependent on the intensity of additive …

Inverted Berezinskii-Kosterlitz-Thouless singularity and high-temperature algebraic order in an Ising model on a scale-free hierarchical-lattice small-world network

M Hinczewski, A Nihat Berker - Physical Review E—Statistical, Nonlinear, and …, 2006‏ - APS
We have obtained exact results for the Ising model on a hierarchical lattice incorporating
three key features characterizing many real-world networks—a scale-free degree …

Stochastic resonance on weakly paced scale-free networks

M Perc - Physical Review E—Statistical, Nonlinear, and Soft …, 2008‏ - APS
We study the impact of additive Gaussian noise and weak periodic forcing on the dynamics
of a scale-free network of bistable overdamped oscillators. The periodic forcing is introduced …

Performance of networks of artificial neurons: The role of clustering

BJ Kim - Physical Review E—Statistical, Nonlinear, and Soft …, 2004‏ - APS
The performance of the Hopfield neural network model is numerically studied on various
complex networks, such as the Watts-Strogatz network, the Barabási-Albert network, and the …

Disorder induced phase transition in kinetic models of opinion dynamics

S Biswas, A Chatterjee, P Sen - Physica A: Statistical Mechanics and its …, 2012‏ - Elsevier
We propose a model of continuous opinion dynamics, where mutual interactions can be
both positive and negative. Different types of distributions for the interactions, all …