Control of transient chaos in tent maps near crisis. II. Periodic orbit targeting
Recent work on a symbolic approach to the calculation of probability distributions arising in the application of the Ott-Grebogi-Yorke strategy to transiently chaotic tent maps is extended to the case of control to a nontrivial periodic orbit. Closed forms are derived for the probability of control being achieved and the average number of iterations to control when it occurs. Both single-component and multiple-component targeting are considered, and illustrative examples of the results obtained are presented.
Place
CM
Mathematics Research Centre, Queen Mary and Westfield College, University of London, London E1 4NS, United Kingdom.
Arrowsmith
DK