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Phys. Rev. E 80, 056205 (2009) [4 pages]

Adaptive synchronization of coupled chaotic oscillators

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Bhargava Ravoori1,2, Adam B. Cohen1,2, Anurag V. Setty1,3, Francesco Sorrentino1,4, Thomas E. Murphy1,5, Edward Ott1,2,5, and Rajarshi Roy1,2,3
1Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
2Department of Physics, University of Maryland, College Park, Maryland 20742, USA
3Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA
4Università degli Studi di Napoli Parthenope, 80143 Napoli, Italy
5Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA

Received 21 July 2009; revised 29 September 2009; published 13 November 2009

We experimentally demonstrate and numerically simulate an adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to environmental parameter drift). The technique is applied to optoelectronic feedback loops exhibiting high-dimensional chaotic dynamics. In addition to keeping the two systems isochronally synchronized in the presence of a priori unknown time-varying coupling strength, the technique provides an estimate of the time-varying coupling.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.056205
DOI:
10.1103/PhysRevE.80.056205
PACS:
05.45.Xt, 05.45.Gg, 05.45.Jn, 05.45.Pq
 
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