Limits to the experimental detection of nonlinear synchrony

Paul So, Ernest Barreto, Krešimir Josić, Evelyn Sander, and Steven J. Schiff
Phys. Rev. E 65, 046225 – Published 9 April 2002
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Abstract

Chaos synchronization is often characterized by the existence of a continuous function between the states of the components. However, in coupled systems without inherent symmetries, the synchronization set can be extremely complicated. We describe and illustrate three typical complications that can arise, and we discuss how existing methods for detecting synchronization will be hampered by the presence of these features.

  • Received 6 August 2001

DOI:https://doi.org/10.1103/PhysRevE.65.046225

©2002 American Physical Society

Authors & Affiliations

Paul So1,*, Ernest Barreto1, Krešimir Josić2, Evelyn Sander3, and Steven J. Schiff4

  • 1Department of Physics and Astronomy and the Krasnow Institute for Advanced Study, George Mason University, Fairfax, Virginia 22030
  • 2Department of Mathematics, Boston University, Boston, Massachusetts 02215
  • 3Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030
  • 4Department of Psychology and the Krasnow Institute for Advanced Study, George Mason University, Fairfax, Virginia 22030

  • *Electronic address: http://complex.gmu.edu

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Vol. 65, Iss. 4 — April 2002

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