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Synchronization in arrays of chaotic circuits coupled via hypergraphs: static and dynamic coupling

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1 Author(s)
Wu, C.W. ; IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA

When an array of circuits is coupled via coupling elements which connects two circuits at a time, the underlying coupling topology can be represented as a graph. When the coupling element connects more than two circuits at a time, the underlying coupling topology can be represented as a hypergraph. In this paper, we study the synchronization properties in arrays of chaotic circuits where the underlying coupling topology is a hypergraph. We consider the case where the coupling is due to memoryless (static) components, and the case where the coupling is due to dynamic circuit components. We introduce the algebraic connectivity of a hypergraph and show how it can be used to derive sufficient conditions for synchronization

Published in:

Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on  (Volume:3 )

Date of Conference:

31 May-3 Jun 1998