EXPERIMENTAL IMPLEMENTATION OF MIGRATIONS IN MULTIPLE-ATTRACTOR SYSTEMS

It was shown by Jackson and Grosu [1995a] that entrainment control of a complex dynamic system could be achieved by using an open-plus-close d-loop (OPCL) control action. Jackson [1995] showed that, for multiple -attractor systems, it is also possible to transfer the dynamics of a system between arbitrary attractors, using this control only for a lim ited period of time (''migration control''). In the case of the Chua s ystem [1986], Jackson and Grosu [1995b] showed that this migration act ion can be achieved using only a limited pre-recorded signal of one va riable of the ''target'' attractor. Here we study the experimental imp lementation of this migration action on a Chua circuit with five attra ctors (fixed points, a limit cycle, and chaotic attractors) [Wu & Pivk a, 1994]. It is shown that reliable migrations are possible with a pre -recorded signal of one target variable, provided that the signal is l onger than a minimal time, dependent on an adjustable control strength . The minimal time for successful migration is studied for all distinc t migration processes. It is also shown that this action is robust to the limited accuracy of the recorded data.