The control method of Ott, Grebogi and Yorke (1990) as applied to the Rössler system, a set of three-dimensional non-linear differential equations, is examined. Using numerical time series data for a single dynamical variable the method was successfully employed to control several of the unstable periodic orbits in a three-dimensional embedding of the data. The method also failed for a number of unstable periodic orbits due to difficulties in linearising about the orbit or the tangential coincidence of the stable manifold and the motion of the orbit with external parameter.

Item Type:	Refereed Article
Research Division:	Physical Sciences
Research Group:	Other physical sciences
Research Field:	Other physical sciences not elsewhere classified
Objective Division:	Expanding Knowledge
Objective Group:	Expanding knowledge
Objective Field:	Expanding knowledge in the physical sciences
UTAS Author:	Corney, SP (Dr Stuart Corney)
ID Code:	10071
Year Published:	1997
Web of Science® Times Cited:	2
Deposited By:	Physics
Deposited On:	1997-08-01
Last Modified:	2011-08-11
Downloads:	0