Title :
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
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2013.2277957
