http://dx.doi.org/10.5540/DINCON.2011.001.1.0219
831
T-13 TIAGO PEREIRA
Topological Interlacing on the
Synchronization in Complex Networks
Stability
of
Partial
Centro de Matemática, Computação e Cognição
Universidade Federal do ABC
Rua Santa Adélia, 166 – Bairro Bangu
09210-170 – Santo André –SP
Brasil
Email: [email protected]
http://posmat.ufabc.edu.br/index.php?option=com_content&view=article&id=69:tiagopereira-da-silva&catid=5:docentes&Itemid=6
Heterogeneity in the degree distribution is known to suppress global synchronization in
complex networks of symmetrically coupled oscillators. This turns out be to a desirable
property, since in most realistic networked systems where synchronization is relevant,
strong synchronization may also be related to pathological activities. Recent results
reveal that partial synchronization can take place in heterogeneous networks: the high
degree nodes synchronize while the remaining nodes are out of synchrony. Here we
explain the mechanism responsible for the onset of local synchronization. Surprisingly,
this high-degree synchronization depends on an intricate interlacing between local and
global network properties such as the maximum degree and the number of shortest paths
between the hubs.