We study synchronization in arrays of chaotic circuits which are coupled via dynamic coupling elements which can themselves possess chaotic dynamics. We express the synchronization conditions in terms of properties of the underlying hypergraphs. We present a result which suggests that under suitable conditions, the more connected the hypergraph is, the easier it is to synchronize the array. The special case of an array of two chaotic circuits is considered. We show that in some cases not all chaotic circuits are synchronized to each other, but clusters are formed in which circuits within a cluster are synchronized to each other.
By: Chai Wah Wu
Published in: RC21552 in 1999
LIMITED DISTRIBUTION NOTICE:
This Research Report is available. This report has been submitted for publication outside of IBM and will probably be copyrighted if accepted for publication. It has been issued as a Research Report for early dissemination of its contents. In view of the transfer of copyright to the outside publisher, its distribution outside of IBM prior to publication should be limited to peer communications and specific requests. After outside publication, requests should be filled only by reprints or legally obtained copies of the article (e.g., payment of royalties). I have read and understand this notice and am a member of the scientific community outside or inside of IBM seeking a single copy only.
Questions about this service can be mailed to reports@us.ibm.com .