• Milestone

Controlling chaos

Edward Ott, Celso Grebogi, and James A. Yorke
Phys. Rev. Lett. 64, 1196 – Published 12 March 1990; Erratum Phys. Rev. Lett. 64, 2837 (1990)
An article within the collection: Letters from the Past - A PRL Retrospective
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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.

  • Received 22 December 1989

DOI:https://doi.org/10.1103/PhysRevLett.64.1196

©1990 American Physical Society

Erratum

Controlling Chaos

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

Collections

This article appears in the following collection:

Letters from the Past - A PRL Retrospective

2008 marked PRL’s 50th anniversary. As part of the celebrations a collection of milestone Letters was started. The collection contains Letters that have made long-lived contributions to physics, either by announcing significant discoveries, or by initiating new areas of research.

Authors & Affiliations

Edward Ott, Celso Grebogi, and James A. Yorke

  • University of Maryland, College Park, Maryland 20742

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Issue

Vol. 64, Iss. 11 — 12 March 1990

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