articleTop 1% cited
Controlling chaos
Physical Review Letters · 1990 · Vol. 64(11) · pp. 1196–1199
Edward Ott✉(University of Maryland, College Park)Celso Grebogi(University of Maryland, College Park)James A. Yorke(University of Maryland, College Park)
Abstract
It is shown that one can convert a chaotic attractor to any one of a large number of possible attracting time-periodic motions by making only small time-dependent perturbations of an available system parameter. The method utilizes delay coordinate embedding, and so is applicable to experimental situations in which a priori analytical knowledge of the system dynamics is not available. Important issues include the length of the chaotic transient preceding the periodic motion, and the effect of noise. These are illustrated with a numerical example.
Chaos control and synchronizationQuantum chaos and dynamical systemsNonlinear Dynamics and Pattern FormationAttractorChaoticA priori and a posterioriControl of chaosEmbeddingStatistical physicsCHAOS (operating system)Noise (video)Computer scienceChaotic systems
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References
Geometry from a Time Series
Physical Review Letters · 1980 · 3,850 citations
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