Chaotic synchronization in small assemblies of driven Chua's circuits

Citation
E. Sanchez et al., Chaotic synchronization in small assemblies of driven Chua's circuits, IEEE CIRC-I, 47(5), 2000, pp. 644-654
Citations number
67
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
ISSN journal
10577122 → ACNP
Volume
47
Issue
5
Year of publication
2000
Pages
644 - 654
Database
ISI
SICI code
1057-7122(200005)47:5<644:CSISAO>2.0.ZU;2-Z
Abstract
Chaotic synchronization is studied in experiments performed on dynamic arra ys of Chua's circuits that are connected by using a recently introduced dri ving method especially suited for the design of such arrays. Namely; the dr iven circuit has the same number of energy storage elements as the driving circuit. The experimental results, which are supported by theoretical analy sis, 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 g eometries, the chaotic synchronized state is only stable up to a certain si ze of the ring. Beyond this critical size a desynchronizing bifurcation occ urs, leading to a chaotic rotating wave that travels through the array, Thi s instability is explained by performing an analysis in terms of modes.