Using Horseshoes to Create Coherent Structures

dc.creatorShinbrot, Troy
dc.creatorOttino, J. M.
dc.date1993-06-24
dc.date.accessioned2026-07-07T09:07:38Z
dc.date.available2026-07-07T09:07:38Z
dc.descriptionIn 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 1-D chaotic map, a 2-D 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.
dc.descriptionThis is a 1.8 MB Postscript file which has been compressed and uuencoded. It should be uudecoded, then decompressed before printing
dc.identifierhttps://arxiv.org/abs/chao-dyn/9306010
dc.identifierhttp://arxiv.org/abs/chao-dyn/9306010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150440
dc.subjectChaotic Dynamics
dc.subjectPattern Formation and Solitons
dc.titleUsing Horseshoes to Create Coherent Structures
dc.typetext

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