TRACKING SUSTAINED CHAOS

A control method and system are provided to sustain chaos in a nonlinear dynamic system. A sustained transient that is tracked as a system parameter is substantially varied thereby allowing sustained chaotic transients to exist far away from the crisis parameter values. The method includes targeting points near a chaotic transient once the iterates reach a neighborhood of an undesired attractor. Targeting is done so that the natural dynamics of the system would not engage again the iterations and chaotic motion. A brief parameter fluctuation forces the attractor to be a repeller so that a point which lies on the previously existing chaotic transient can be targeted. Consequently, instead of landing on the attractor, the iterations will reach a region of phase space where a chaotic transient is present, causing the chaotic motion to be reexcited.