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Control of Chaos in the Rossler System
journal contributionposted on 2023-05-16, 10:26 authored by Stuart CorneyStuart Corney
The control method of Ott, Grebogi and Yorke (1990) as applied to the RÃ¶ssler 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.
Publication titleAustralian Journal of Physics
Department/SchoolSchool of Natural Sciences
Place of publicationMelbourne