A multi-dimensional scheme for controlling unstable periodic orbits in chaotic systems

  • Chakravarthy N
  • Tsakalis K
  • Iasemidis L
 et al. 
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Abstract

The control of unstable periodic orbits (UPOs) in chaotic systems is herein investigated by applying a weighted sum of external periodic inputs. These inputs are drawn from a "generic" set of basis functions and used to stabilize different UPOs in a chaotic attractor. All parameters associated with this multi-dimensional control scheme are experimentally computed without a priori knowledge of the system, thus making it easily applicable to a wide variety of dynamical systems. The performance of this control scheme is illustrated with several well-established chaotic systems. © 2005 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Chaos
  • Multi-dimensional control
  • Unstable periodic orbit

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Authors

  • Niranjan Chakravarthy

  • Kostas Tsakalis

  • Leon D. Iasemidis

  • Andreas Spanias

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