Uncertainty in chaos synchronization

Citation
Gq. Zhong et al., Uncertainty in chaos synchronization, INT J B CH, 11(6), 2001, pp. 1723-1735
Citations number
20
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
0218-1274 → ACNP
Volume
11
Issue
6
Year of publication
2001
Pages
1723 - 1735
Database
ISI
SICI code
0218-1274(200106)11:6<1723:UICS>2.0.ZU;2-C
Abstract
In this paper a variety of uncertainty phenomena in chaos synchronization, which are caused by the sensitive dependence on initial conditions and coup ling strength, are numerically investigated. Two identical Chua's circuits are considered for both mutually- and unidirectionally-coupled systems. It is found that initial states of the system play an important role in chaos synchronization. Depending on initial conditions, distinct behaviors, such as in-phase synchronization, anti-phase synchronization, oscillation-quench ing, and bubbling of attractors, may occur. Based on the findings, we clari fy that the systems, which satisfy the standard synchronization criterion, do not necessarily operate in a synchronization regime.