Controlling chaos in high dimensional systems

Journal Article · Mon Dec 14 00:00:00 EST 1992 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.69.3479· OSTI ID:6934903

Auerbach, D; Grebogi, C; Ott, E; Yorke, J A ^[1]

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1. Laboratory for Plasma Research, University of Maryland, College Park, Maryland 20742 (United States) Intitute for Physical Sciences and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742 (United States) Department of Physics and Department of Electrical Engineering, University of Maryland College Park, Maryland 20742 (United States)

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.

• OSTI ID: 6934903
• Journal Information: Physical Review Letters; (United States), Vol. 69:24; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
STOCHASTIC PROCESSES
FEEDBACK
ATTRACTORS
MATHEMATICAL MODELS
PHASE SPACE
SIGNALS
MATHEMATICAL SPACE
SPACE
665000* - Physics of Condensed Matter- (1992-)