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Phys. Rev. Lett. 91, 174101 (2003) [4 pages]

Generalized Synchronization of Chaos in Identical Systems with Hidden Degrees of Freedom

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Atsushi Uchida1,2, Ryan McAllister1,2, Riccardo Meucci3, and Rajarshi Roy1,2,4
1Department of Physics, University of Maryland, College Park, Maryland, 20742, USA
2IREAP, University of Maryland, College Park, Maryland 20742, USA
3Istituto Nazionale di Ottica Applicata, Largo Enrico Fermi, 6-50125 Firenze, Italy
4IPST, University of Maryland, College Park, Maryland 20742, USA

Received 22 May 2003; published 20 October 2003

We demonstrate generalized synchronization of chaos in a two-mode laser system. The total intensity of the laser output (the sum of the individual mode intensities) is used as the drive signal. This lumped variable transmitted to the identical response system does not generate identical synchronization. Generalized synchronization is observed instead of identical synchronization because of the hidden internal degrees of freedom.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.91.174101
DOI: 10.1103/PhysRevLett.91.174101
PACS: 05.45.Xt, 05.45.Ac, 42.65.Sf

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