Using chaos to direct trajectories to targets

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

Research output: Contribution to journalArticlepeer-review

347 Citations (Scopus)


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
Issue number26
Publication statusPublished - 24 Dec 1990


  • attractors


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