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APS » Journals » Phys. Rev. Lett. » Volume 96 » Issue 14
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Phys. Rev. Lett. 96, 144101 (2006) [4 pages]

Coarse Graining the Dynamics of Coupled Oscillators

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Sung Joon Moon1, R. Ghanem2, and I. G. Kevrekidis1,*
1Department of Chemical Engineering & Program in Applied and Computational Mathematics (PACM), Princeton University, Princeton, New Jersey 08544, USA
2Department of Civil Engineering, University of Southern California, Los Angeles, California 90089, USA

Received 9 September 2005; published 13 April 2006

We present an equation-free computational approach to the study of the coarse-grained dynamics of finite assemblies of nonidentical coupled oscillators at and near full synchronization. We use coarse-grained observables which account for the (rapidly developing) correlations between phase angles and natural frequencies. Exploiting short bursts of appropriately initialized detailed simulations, we circumvent the derivation of closures for the long-term dynamics of the assembly statistics.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.144101
DOI:
10.1103/PhysRevLett.96.144101
PACS:
05.45.Xt, 05.10.−a, 87.10.+e

*Electronic address: yannis@arnold.princeton.edu

 
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