Recently formulated techniques for controlling chaotic dynamics face a fundamental problem when the system is high dimensional, and this problem is present even when the chaotic attractor is low dimensional. Here we introduce a procedure for controlling a chaotic time signal of an arbitrarily high dimensional system, without assuming any knowledge of the underlying dynamical equations. Specifically, we formulate a feedback control that requires modeling the local dynamics of only a single or a few of the possibly infinite number of phase-space variables.
|Number of pages||4|
|Journal||Physical Review Letters|
|Publication status||Published - 14 Dec 1992|
- INTERTWINED BASIN BOUNDARIES
- KICKED DOUBLE ROTOR