Title :
New spectral graph theoretic conditions for synchronization in directed complex networks
Author :
Hui Liu ; Ming Cao ; Chai Wah Wu
Author_Institution :
Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands
Abstract :
This paper proposes lower bounds for the coupling strengths of oscillators in directed networks to guarantee global synchronization. The novel idea of graph comparison from spectral graph theory is employed so that the topological features of a given network can be fully utilized to simplify computations. For large networks that can be decomposed into a set of smaller strongly connected components, the comparison can be carried out at the local level as well.
Keywords :
complex networks; directed graphs; network theory (graphs); oscillators; synchronisation; directed complex networks; directed networks; oscillator coupling strength; spectral graph theoretic conditions; topological features; Complex networks; Couplings; Graph theory; Laplace equations; Oscillators; Symmetric matrices; Synchronization;
Conference_Titel :
Circuits and Systems (ISCAS), 2013 IEEE International Symposium on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-5760-9
DOI :
10.1109/ISCAS.2013.6572339
