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Chaotic synchronization in small assemblies of driven Chua's circuits

AuthorsSánchez, Esteban; Matías, Manuel A. ; Ferez-Munuzuri, V.
Issue Date2000
PublisherInstitute of Electrical and Electronics Engineers
CitationIEEE Transactions on Circuits and Systems I: Regular Papers 47: 644- 654 (2000)
AbstractChaotic synchronization is studied in experiments performed on dynamic arrays of Chua's circuits that are connected by using a recently introduced driving method especially suited for the design of such arrays. Namely, the driven circuit has the same number of energy storage elements as the driving circuit. The experimental results, which are supported by theoretical analysis, are different depending on the geometric arrangement of the array. In the case of linear arrays, the first circuit always imposes its behavior to the rest of the chain at a finite velocity. Instead, in the case of ring geometries, the chaotic synchronized state is only stable up to a certain size of the ring. Beyond this critical size a desynchronizing bifurcation occurs, leading to a chaotic rotating wave that travels through the array. This instability is explained by performing an analysis in terms of modes.
Identifiersdoi: 10.1109/81.847871
issn: 1057-7122
Appears in Collections:(IMEDEA) Artículos
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