Using chaos to direct trajectories to targets

Troy Shinbrot, Edward Ott, Celso Grebogi, James A Yorke

Research output: Contribution to journalArticle

321 Citations (Scopus)

Abstract

A method is developed which uses the exponential sensitivity of a chaotic system to tiny perturbations to direct the system to a desired accessible state in a short time. This is done by applying a small, judiciously chosen, perturbation to an available system parameter. An expression for the time required to reach an accessible state by applying such a perturbation is derived and confirmed by numerical experiment. The method introduced is shown to be effective even in the presence of small-amplitude noise or small modeling errors.

Original languageEnglish
Pages (from-to)3215-3218
Number of pages4
JournalPhysical Review Letters
Volume65
Issue number26
DOIs
Publication statusPublished - 24 Dec 1990

Keywords

  • attractors

Cite this

Using chaos to direct trajectories to targets. / Shinbrot, Troy; Ott, Edward; Grebogi, Celso; Yorke, James A .

In: Physical Review Letters, Vol. 65, No. 26, 24.12.1990, p. 3215-3218.

Research output: Contribution to journalArticle

Shinbrot, Troy ; Ott, Edward ; Grebogi, Celso ; Yorke, James A . / Using chaos to direct trajectories to targets. In: Physical Review Letters. 1990 ; Vol. 65, No. 26. pp. 3215-3218.
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