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Control of Chaos by Time-Delayed Feedback: A Survey of Theoretical and Experimental Aspects

  • Wolfram Just
  • Hartmut Benner
  • Eckehard Schöll
Chapter
Part of the Advances in Solid State Physics book series (ASSP, volume 43)

Abstract

Time-delayed feedback control has been introduced as a powerful tool for control of unstable periodic orbits in dynamical systems. From the experimental point of view its strength is based on the fact that the application of this method requires just the measurement of simple signals, and it has been applied in physics, chemistry and biology. We present an overview of the theoretical foundations of time-delayed feedback methods and explain in detail the implications for real experiments.

Keywords

Control Loop Target State Control Force Linear Stability Analysis Feedback Scheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  • Wolfram Just
    • 1
  • Hartmut Benner
    • 2
  • Eckehard Schöll
    • 3
  1. 1.Institute of PhysicsChemnitz University of TechnologyChemnitzGermany
  2. 2.Institute of Solid State Physics Darmstadt University of TechnologyDarmstadtGermany
  3. 3.Institute of Theoretical PhysicsBerlin University of TechnologyBerlinGermany

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