Stability of multi-cluster synchronization

Amritkar, R. E. ; Rangarajan, Govindan (2009) Stability of multi-cluster synchronization International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 19 (12). pp. 4263-4271. ISSN 0218-1274

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A system of many coupled oscillators on a network can show multicluster synchronization. We obtain existence conditions and stability bounds for such a multicluster synchronization. When the oscillators are identical, we obtain the interesting result that network structure alone can cause multicluster synchronization to emerge even when all the other parameters are the same. We also study occurrence of multicluster synchronization when two different types of oscillators are coupled.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Company.
Keywords:Synchronization; Networks; Clusters; Stability
ID Code:73306
Deposited On:02 Dec 2011 09:57
Last Modified:03 Jul 2012 08:27

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