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Experimental control of chaos in a delayed high-dimensional system

  • M. Ciofini
  • A. Labate
  • R. Meucci
  • F.T. Arecchi

Abstract:

We introduce a novel control method for a delayed dynamical system exhibiting high-dimensional chaos. The control is based on a negative feedback loop with an adaptive filtering, consisting of a selective filter, centered at the frequency of the orbit to be stabilized, with the addition of a time derivative correction. The validity of the method is also discussed in the framework of a space-like representation adopted to study the analogies between delayed dynamical systems and spatially extended systems.

PACS. 05.45.-a Nonlinear dynamics and nonlinear dynamical systems - 42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps - 42.55.Lt Gas lasers including excimer and metal-vapor lasers 

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Copyright information

© EDP Sciences, Springer-Verlag 1999

Authors and Affiliations

  • M. Ciofini
    • 1
  • A. Labate
    • 1
  • R. Meucci
    • 1
  • F.T. Arecchi
    • 1
  1. 1.Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Florence, ItalyIT

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