Synchronization of chaotic structurally nonequivalent systems

Citation
S. Boccaletti et al., Synchronization of chaotic structurally nonequivalent systems, PHYS REV E, 61(4), 2000, pp. 3712-3715
Citations number
20
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
4
Year of publication
2000
Part
A
Pages
3712 - 3715
Database
ISI
SICI code
1063-651X(200004)61:4<3712:SOCSNS>2.0.ZU;2-7
Abstract
Synchronization features are explored for a pair of chaotic high-dimensiona l bidirectionally coupled structurally nonequivalent systems. We find tao r egimes of synchronization in dependence on the coupling strength: creation of a lower dimensional chaotic state, and for larger coupling a transition toward a stable periodic motion. We characterize this new state, showing th at it is associated with an abrupt transition in the Lyapunov spectrum. The robustness of this state against noise is discussed, and the use of this d ynamical property as a possible approach for the control of chaos is outlin ed.