### 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

## Cite this

AUERBACH, D., GREBOGI, C., OTT, E., & YORKE, J. A. (1992). CONTROLLING CHAOS IN HIGH DIMENSIONAL SYSTEMS.

*Physical Review Letters*,*69*(24), 3479-3482.