Geometric method to create coherent structures in chaotic flows

Troy Shinbrot*, J. M. Ottino

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

In this Letter, we show that coherent structures are related to folds of horseshoes which are present in chaotic systems. We develop techniques that allow us to construct coherent structures by manipulating folds in three prototypical problems: a 1D chaotic map, a 2D chaotic map, and a chaotically advected fluid. The ability to construct such structures is of practical importance for the control of chaotic or turbulent extended systems such as fluids, plasmas, and coupled oscillator arrays.

Original languageEnglish (US)
Pages (from-to)843-846
Number of pages4
JournalPhysical review letters
Volume71
Issue number6
DOIs
StatePublished - 1993

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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