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Phys. Rev. E 65, 046225 (2002) [5 pages]

Limits to the experimental detection of nonlinear synchrony

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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

Received 6 August 2001; revised 16 January 2002; published 9 April 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.046225
DOI:
10.1103/PhysRevE.65.046225
PACS:
05.45.-a, 87.10.+e, 87.19.La

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

 
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