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 …

Physical approach to complex systems

J Kwapień, S Drożdż - Physics Reports, 2012‏ - Elsevier
Typically, complex systems are natural or social systems which consist of a large number of
nonlinearly interacting elements. These systems are open, they interchange information or …

Solvable model for chimera states of coupled oscillators

DM Abrams, R Mirollo, SH Strogatz, DA Wiley - Physical review letters, 2008‏ - APS
Networks of identical, symmetrically coupled oscillators can spontaneously split into
synchronized and desynchronized subpopulations. Such chimera states were discovered in …

Two types of asynchronous activity in networks of excitatory and inhibitory spiking neurons

S Ostojic - Nature neuroscience, 2014‏ - nature.com
Asynchronous activity in balanced networks of excitatory and inhibitory neurons is believed
to constitute the primary medium for the propagation and transformation of information in the …

Hierarchical organization unveiled by functional connectivity in complex brain networks

C Zhou, L Zemanová, G Zamora, CC Hilgetag… - Physical review letters, 2006‏ - APS
How do diverse dynamical patterns arise from the topology of complex networks? We study
synchronization dynamics in the cortical brain network of the cat, which displays a …

Pinning adaptive synchronization of a general complex dynamical network

J Zhou, J Lu, J Lü - Automatica, 2008‏ - Elsevier
There are two challenging fundamental questions in pinning control of complex networks:(i)
How many nodes should a network with fixed network structure and coupling strength be …

The size of the sync basin

DA Wiley, SH Strogatz, M Girvan - Chaos: An Interdisciplinary Journal …, 2006‏ - pubs.aip.org
We suggest a new line of research that we hope will appeal to the nonlinear dynamics
community, especially the readers of this Focus Issue. Consider a network of identical …

Coupling functions: universal insights into dynamical interaction mechanisms

T Stankovski, T Pereira, PVE McClintock… - Reviews of Modern …, 2017‏ - APS
The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

Evolving functional network properties and synchronizability during human epileptic seizures

KA Schindler, S Bialonski, MT Horstmann… - … Journal of Nonlinear …, 2008‏ - pubs.aip.org
We assess electrical brain dynamics before, during, and after 100 human epileptic seizures
with different anatomical onset locations by statistical and spectral properties of functionally …

Autism: a world changing too fast for a mis-wired brain?

B Gepner, F Féron - Neuroscience & Biobehavioral Reviews, 2009‏ - Elsevier
Disorders in verbal and emotional communication and imitation, social reciprocity and
higher order cognition observed in individuals with autism spectrum disorders (ASD) are …