Adaptive targeting of chaos

S. Boccaletti, A. Farini, Eric Kostelich, F. T. Arecchi

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

We report two adaptive methods for directing chaotic trajectories to desired targets that require only a single "probing" of the target by the unperturbed dynamics. In contrast to previous targeting algorithms, these methods do not require a priori information about the stable and unstable manifolds associated with the target point and are not restricted to invertible mappings. The methods apply small perturbations to the state variables (as opposed to parameters) and can reduce the waiting time for the system to visit the target by more than two orders of magnitude. Their robustness and lack of stringent requirements should make these methods easily implementable in experimental applications.

Original languageEnglish (US)
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number5 A
StatePublished - May 1997

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chaos
Chaos
Target
Stable and Unstable Manifolds
Adaptive Method
Small Perturbations
Waiting Time
Invertible
trajectories
Trajectory
Robustness
perturbation
requirements
Requirements

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Adaptive targeting of chaos. / Boccaletti, S.; Farini, A.; Kostelich, Eric; Arecchi, F. T.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 5 A, 05.1997.

Research output: Contribution to journalArticle

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