TY - JOUR
T1 - Geometric method to create coherent structures in chaotic flows
AU - Shinbrot, Troy
AU - Ottino, J. M.
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.71.843
DO - 10.1103/PhysRevLett.71.843
M3 - Article
C2 - 10055382
AN - SCOPUS:0000673830
SN - 0031-9007
VL - 71
SP - 843
EP - 846
JO - Physical review letters
JF - Physical review letters
IS - 6
ER -