Role of the Absorbing Area in Chaotic Synchronization

Yu. L. Maistrenko, V. L. Maistrenko, A. Popovich, and E. Mosekilde
Phys. Rev. Lett. 80, 1638 – Published 23 February 1998
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Abstract

When two identical chaotic oscillators interact, one or more intervals of coupling parameters generally exist in which the synchronized state is weakly stable and its basin of attraction is riddled with holes that are repelled from it. Here, we discuss the role of the absorbing area for the emergence of local vs global riddling and for controlling the dynamics, once the synchronization breaks down.

  • Received 14 July 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.1638

©1998 American Physical Society

Authors & Affiliations

Yu. L. Maistrenko1, V. L. Maistrenko1, A. Popovich1, and E. Mosekilde2

  • 1Institute of Mathematics, National Academy of Sciences, Kiev, Ukraine 252601
  • 2Department of Physics, Technical University of Denmark, 2800 Lyngby, Denmark

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Vol. 80, Iss. 8 — 23 February 1998

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