Synchronization of chaos via optimal parameter perturbation using short time series data

Citation
Cs. Zhou et al., Synchronization of chaos via optimal parameter perturbation using short time series data, PHYS SCR, 60(1), 1999, pp. 17-27
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICA SCRIPTA
ISSN journal
02811847 → ACNP
Volume
60
Issue
1
Year of publication
1999
Pages
17 - 27
Database
ISI
SICI code
0281-1847(199907)60:1<17:SOCVOP>2.0.ZU;2-F
Abstract
Some OGY based methods for synchronization of chaotic trajectories using sm all parameter perturbations rely heavily on the dynamical equations of syst ems. We present an alternative method for the synchronization of chaos via parameter perturbation using only time series data. Employing a very simple local model constructed from time series data, parameter perturbations nec essary to achieve synchronization are easily obtained. Synchronization can be achieved even though the local model is very crude when using very short time series data.