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Stability of multi-cluster synchronization

Amritkar, RE and Rangarajan, Govindan (2009) Stability of multi-cluster synchronization. In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 19 (12). pp. 4263-4271.

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Official URL: http://www.worldscinet.com/ijbc/19/1912/S021812740...


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: Journal Article
Publication: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Publisher: World Scientific Publishing Company
Additional Information: Copyright of this article belongs to World Scientific Publishing Company.
Keywords: Synchronization;networks;clusters;stability
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 09 Jun 2010 05:22
Last Modified: 19 Sep 2010 05:59
URI: http://eprints.iisc.ac.in/id/eprint/27004

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