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Control methods for problems of mixing and coherence in chaotic maps and flows

  • Spatio-Temporal Chaos, Synchronization And Control
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Abstract

We review a variety of control methods which are capable of enhancing the chaoticity and mixing properties of chaotic flows and also methods which work towards promoting the coherence properties of such flows. We discuss a parameter control method which can enhance the chaoticity and the rate of mixing of dissipative as well as conservative flows and outline methods which promote global mixing by the addition of noise and by preventing island formation. As the inverse side of this problem, we summarize methods which can create coherent structures in chaotic dynamical flows. We also discuss the utility of these methods from the point of view of applications as well as for understanding phenomena which occur in natural systems.

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Authors and Affiliations

  1. Department of Physics, University of Pune, 411 007, Pune, India

    Ashutosh Sharma & Neelima Gupte

  2. Department of Physics, Indian Institute of Technology, 600 036, Madras, India

    Neelima Gupte

Authors
  1. Ashutosh Sharma
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  2. Neelima Gupte
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Sharma, A., Gupte, N. Control methods for problems of mixing and coherence in chaotic maps and flows. Pramana - J Phys 48, 231–248 (1997). https://doi.org/10.1007/BF02845632

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