411 research outputs found
Synchronization in complex networks
Synchronization processes in populations of locally interacting elements are
in the focus of intense research in physical, biological, chemical,
technological and social systems. The many efforts devoted to understand
synchronization phenomena in natural systems take now advantage of the recent
theory of complex networks. In this review, we report the advances in the
comprehension of synchronization phenomena when oscillating elements are
constrained to interact in a complex network topology. We also overview the new
emergent features coming out from the interplay between the structure and the
function of the underlying pattern of connections. Extensive numerical work as
well as analytical approaches to the problem are presented. Finally, we review
several applications of synchronization in complex networks to different
disciplines: biological systems and neuroscience, engineering and computer
science, and economy and social sciences.Comment: Final version published in Physics Reports. More information
available at http://synchronets.googlepages.com
Emergence of multicluster chimera states
We thank Prof. L. Huang for helpful discussions. This work was partially supported by ARO under Grant No. W911NF-14-1-0504 and by NSF of China under Grant No. 11275003. The visit of NY to Arizona State University was partially sponsored by Prof. Z. Zheng and the State Scholarship Fund of China.Peer reviewedPublisher PD
Concurrent enhancement of percolation and synchronization in adaptive networks
Co-evolutionary adaptive mechanisms are not only ubiquitous in nature, but
also beneficial for the functioning of a variety of systems. We here consider
an adaptive network of oscillators with a stochastic, fitness-based, rule of
connectivity, and show that it self-organizes from fragmented and incoherent
states to connected and synchronized ones. The synchronization and percolation
are associated to abrupt transitions, and they are concurrently (and
significantly) enhanced as compared to the non-adaptive case. Finally we
provide evidence that only partial adaptation is sufficient to determine these
enhancements. Our study, therefore, indicates that inclusion of simple adaptive
mechanisms can efficiently describe some emergent features of networked
systems' collective behaviors, and suggests also self-organized ways to control
synchronization and percolation in natural and social systems.Comment: Published in Scientific Report
- …