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Chaos, Coherence and Control

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Flow Control

Part of the book series: Lecture Notes in Physics ((LNPMGR,volume 53))

Abstract

In 1976, Werner Heisenberg lay dying. On his deathbed, he is reported to have said (Gleick, 1988) that he had two questions for God: why relativity, and why turbulence. “I really think,” said Heisenberg, “He may have an answer to the first question.” In this paper we focus on a tiny piece of the second question, “why turbulence?” Specifically, we try to understand just enough of that question to be able to decide whether or how turbulence could possibly be controlled. This is an ambitious agenda, and to study it we break the problem into manageable topics. So here we discuss two things. First, we review progress over the past decade on the control of low-dimensional, temporally chaotic dynamics. Second, we explore recent work which demonstrates how the dynamics of spatially chaotic, but temporally regular, systems can be manipulated. We conclude by very briefly discussing the prognosis of this research for the control of truly turbulent problems, which are unpredictable both in space and in time.

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Author information

Authors and Affiliations

  1. Northwestern University, Evanston, Illinois, 60208, USA

    Troy Shinbrot

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  1. Troy Shinbrot
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Editor information

Editors and Affiliations

  1. Department of Aero. & Mech. Engineering, University of Notre Dame, Notre Dame, IN, 46556, USA

    Mohamed Gad-el-Hak

  2. Department of Mechanical Engineering, Queen’s University, Kingston, Ontario, K7L 3N6, Canada

    Andrew Pollard

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© 1998 Springer-Verlag Berlin Heidelberg

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Shinbrot, T. (1998). Chaos, Coherence and Control. In: Gad-el-Hak, M., Pollard, A. (eds) Flow Control. Lecture Notes in Physics, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69672-5_9

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  • DOI: https://doi.org/10.1007/3-540-69672-5_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63936-7

  • Online ISBN: 978-3-540-69672-8

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