Abstract
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.
Original language | English |
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Pages (from-to) | 3479-3482 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 69 |
Issue number | 24 |
Publication status | Published - 14 Dec 1992 |
Keywords
- INTERTWINED BASIN BOUNDARIES
- KICKED DOUBLE ROTOR
- ORBITS