Dynamic Long-Term Anticipation of Chaotic States

Henning U. Voss
Phys. Rev. Lett. 87, 014102 – Published 19 June 2001
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Abstract

Introducing a short time delay into the coupling of two synchronizing chaotic systems, it was shown recently that the driven system may anticipate the driving system in real time. Augmenting the phase space of the driven system, we accomplish anticipation times that are multiples of the coupling delay time and exceed characteristic time scales of the chaotic dynamics. The stability properties of the associated anticipatory synchronization manifold in certain cases turn out to be the same as for identically synchronizing oscillators.

  • Received 26 October 2000

DOI:https://doi.org/10.1103/PhysRevLett.87.014102

©2001 American Physical Society

Authors & Affiliations

Henning U. Voss*

  • Department of Physics, University of Freiburg, Freiburg, Germany

  • *Electronic address: hv@physik.uni-freiburg.de

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Vol. 87, Iss. 1 — 2 July 2001

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