Synchronization Probability in Large Complex Networks

Author

Manaffam, Saeed ; Seyedi, Alireza

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Univ. of Central Florida, Orlando, FL, USA

Volume

60

Issue

10

fYear

2013

fDate

Oct. 2013

Firstpage

697

Lastpage

701

Abstract

In a generalized framework, where multistate and interstate linkages are allowed, the synchronization of oscillators in random networks is investigated. A sufficient condition for the stability of synchronization is derived, which explicitly relates the network structure and the local and coupling dynamics to synchronization stability. This condition is then translated into a lower bound on the probability of stability of synchrony for large Erdös-Rényi and Newman-Watts small-world networks.

Keywords

circuit stability; nonlinear network analysis; oscillators; probability; synchronisation; Erdos-Renyi networks; Newman-Watts small-world networks; coupling dynamics; interstate linkages; large complex networks; multistate linkages; network structure; nonlinear network analysis; oscillators; synchronization probability; synchronization stability; Circuit stability; Couplings; Eigenvalues and eigenfunctions; Numerical stability; Stability criteria; Synchronization; Complex network; nonlinear network analysis; random network; small-worlds; synchronization;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2013.2277957

Filename

6589137