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Control of Chaos in the Rossler System
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.
History
Publication title
Australian Journal of PhysicsVolume
50Pagination
263-279ISSN
0004-9506Department/School
School of Natural SciencesPublisher
CSIROPlace of publication
MelbourneRepository Status
- Restricted