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Control of Chaos in the Rossler System
Citation
Corney, SP, Control of Chaos in the Rossler System, Australian Journal of Physics, 50, (2) pp. 263-279. ISSN 0004-9506 (1997) [Refereed Article]
DOI: doi:10.1071/P96015
Abstract
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 Details
Item Type: | Refereed Article |
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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: | 3 |
Deposited By: | Physics |
Deposited On: | 1997-08-01 |
Last Modified: | 2011-08-11 |
Downloads: | 0 |
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