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Phys. Rev. E 69, 066215 (2004) [11 pages]

Spatial patterns of desynchronization bursts in networks

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Juan G. Restrepo*
Institute for Research in Electronics and Applied Physics and Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA

Edward Ott
Institute for Research in Electronics and Applied Physics, Department of Physics and Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA

Brian R. Hunt
Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA

Received 7 January 2004; revised 11 March 2004; published 16 June 2004

We adapt a previous model and analysis method (the master stability function), extensively used for studying the stability of the synchronous state of networks of identical chaotic oscillators, to the case of oscillators that are similar but not exactly identical. We find that bubbling induced desynchronization bursts occur for some parameter values. These bursts have spatial patterns, which can be predicted from the network connectivity matrix and the unstable periodic orbits embedded in the attractor. We test the analysis of bursts by comparison with numerical experiments. In the case that no bursting occurs, we discuss the deviations from the exactly synchronous state caused by the mismatch between oscillators.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.066215
DOI:
10.1103/PhysRevE.69.066215
PACS:
05.45.Xt, 89.75.−k

*Electronic address: juanga@math.umd.edu

 
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