GENERALIZED SYNCHRONIZATION OF CHAOS IN ELECTRONIC-CIRCUIT EXPERIMENTS

Citation
A. Kittel et al., GENERALIZED SYNCHRONIZATION OF CHAOS IN ELECTRONIC-CIRCUIT EXPERIMENTS, Physica. D, 112(3-4), 1998, pp. 459-471
Citations number
39
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
112
Issue
3-4
Year of publication
1998
Pages
459 - 471
Database
ISI
SICI code
0167-2789(1998)112:3-4<459:GSOCIE>2.0.ZU;2-B
Abstract
Two examples of one-way coupled electronic circuits displaying general ized synchronization of chaos are considered. In one of them, the dyna mics of both the response and the driving systems represent a double-s croll chaos oscillator. In another example, the double-scroll oscillat or is driven by an electronic analog of the Mackey-Glass system. To de tect the generalized synchronization, an auxiliary response system tha t is a replica of the original one is used. In these systems, we have discovered two types of generalized synchronization, namely, a strong and a weak synchronization, which correspond to the existence of a smo oth and a nonsmooth map from the trajectories of the driving attractor to the trajectories of the response system, respectively.