
%0 Journal Article
%A Corney, Stuart 
%T Control of Chaos in the R&ouml;ssler System
%J Australian Journal of Physics
%D 1997/03/21
%V 50
%N 2
%P 263-279
%K 
%R https://doi.org/10.1071/P96015
%U https://www.publish.csiro.au/paper/P96015 
%X The control method of Ott, Grebogi and Yorke (1990) as applied to the R&ouml;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. 
