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Phys Rev Lett. 2007 Aug 3;99(5):053905. Epub 2007 Aug 2.

Changing dynamical complexity with time delay in coupled fiber laser oscillators.

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Department of Physics, University of Maryland, College Park, Maryland 20742, USA.


We investigate the complexity of the dynamics of two mutually coupled systems with internal delays and vary the coupling delay over 4 orders of magnitude. Karhunen-Loève decomposition of spatiotemporal representations of fiber laser intensity data is performed to examine the eigenvalue spectrum and significant orthogonal modes. We compute the Shannon information from the eigenvalue spectra to quantify the dynamical complexity. A reduction in complexity occurs for short coupling delays while a logarithmic growth is observed as the coupling delay is increased.

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