Using chaos to target stationary states of flows

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

Research output: Contribution to journalArticlepeer-review

49 Scopus citations

Abstract

The sensitivity of chaotic systems to small perturbations is used to direct trajectories to a small neighborhood of stationary states of three-dimensional chaotic flows. For example, in one of the cases studied, a neighborhood which would typically take 1010 time units to reach without control can be reached using our technique in only about 10 of the same time units.

Original languageEnglish (US)
Pages (from-to)349-354
Number of pages6
JournalPhysics Letters A
Volume169
Issue number5
DOIs
StatePublished - Oct 5 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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