The method of Ott, Grebogi and Yorke (1990) is extended to control transient chaos. The controlled signal then exhibits a periodic behaviour which is qualitatively different from that of the actual attractor. The time needed to achieve control is shown to be constant and to lie in the order of magnitude of the transient lifetime. The number of controlled trajectories, however, decreases the maximum perturbation according to a power law. Applicability to experimental situations and comparison with permanent chaotic cases are discussed.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics