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Phys. Rev. Lett. 64, 1196–1199 (1990)

Controlling chaos

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Edward Ott, Celso Grebogi, and James A. Yorke
University of Maryland, College Park, Maryland 20742

See Also: Erratum

Received 22 December 1989; published in the issue dated 12 March 1990

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.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.64.1196
DOI:
10.1103/PhysRevLett.64.1196
PACS:
05.45.+b

See Also

Erratum: Edward Ott, Celso Grebogi, and James A. Yorke, Controlling Chaos, Phys. Rev. Lett. 64, 2837 (1990).