Collective dynamics of 'small-world'networks

DJ Watts, SH Strogatz - nature, 1998 - nature.com
Networks of coupled dynamical systems have been used to model biological oscillators 1, 2,
3, 4, Josephson junction arrays 5, 6, excitable media 7, neural networks 8, 9, 10, spatial …

Exploring complex networks

SH Strogatz - nature, 2001 - nature.com
The study of networks pervades all of science, from neurobiology to statistical physics. The
most basic issues are structural: how does one characterize the wiring diagram of a food …

Self-similarity of complex networks

C Song, S Havlin, HA Makse - Nature, 2005 - nature.com
Complex networks have been studied extensively owing to their relevance to many real
systems such as the world-wide web, the Internet, energy landscapes and biological and …

Small worlds: How and why

N Mathias, V Gopal - Physical Review E, 2001 - APS
We investigate small-world networks from the point of view of their origin. While the
characteristics of small-world networks are now fairly well understood, there is as yet no …

Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?

T Nishikawa, AE Motter, YC Lai, FC Hoppensteadt - Physical review letters, 2003 - APS
Small-world and scale-free networks are known to be more easily synchronized than regular
lattices, which is usually attributed to the smaller network distance between oscillators …

[HTML][HTML] Abrupt transition in the structural formation of interconnected networks

F Radicchi, A Arenas - Nature Physics, 2013 - nature.com
Our world is linked by a complex mesh of networks through which information, people and
goods flow. These networks are interdependent on each other, and present structural and …

Link communities reveal multiscale complexity in networks

YY Ahn, JP Bagrow, S Lehmann - nature, 2010 - nature.com
Networks have become a key approach to understanding systems of interacting objects,
unifying the study of diverse phenomena including biological organisms and human …

Synchronization in small-world systems

M Barahona, LM Pecora - Physical review letters, 2002 - APS
We quantify the dynamical implications of the small-world phenomenon by considering the
generic synchronization of oscillator networks of arbitrary topology. The linear stability of the …

Modularity produces small-world networks with dynamical time-scale separation

RK Pan, S Sinha - Europhysics Letters, 2009 - iopscience.iop.org
The functional consequences of local and global dynamics can be very different in natural
systems. Many such systems have a network description that exhibits strong local clustering …

Scale-free networks

AL Barabási, E Bonabeau - Scientific american, 2003 - JSTOR
The brain is a network of nerve cells connected by axons, and cells themselves are networks
of molecules connected by biochemical reactions. Societies, too, are networks of people …