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Pramana

, Volume 71, Issue 2, pp 195–201 | Cite as

Synchronization of networks

  • R. E. AmritkarEmail author
Article

Abstract

We study the synchronization of coupled dynamical systems on networks. The dynamics is governed by a local nonlinear oscillator for each node of the network and interactions connecting different nodes via the links of the network. We consider existence and stability conditions for both single- and multi-cluster synchronization. For networks with time-varying topology we compare the synchronization properties of these networks with the corresponding time-average network. We find that if the different coupling matrices corresponding to the time-varying networks commute with each other then the stability of the synchronized state for both the time-varying and the time-average topologies are approximately the same. On the other hand, for non-commuting coupling matrices the stability of the synchronized state for the time-varying topology is in general better than the time-average topology.

Keywords

Synchronization nonlinear dynamical systems networks 

PACS Nos

05.45.Xt 89.75.-k 

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Copyright information

© Indian Academy of Sciences 2008

Authors and Affiliations

  1. 1.Physical Research LaboratoryNavrangapuraIndia

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