Renormalization group approach to oscillator synchronization

We develop a renormalization group method to investigate synchronization clusters in a one-dimensional chain of nearest-neighbor coupled phase oscillators. The method is best suited for chains with strong disorder in the intrinsic frequencies and coupling strengths. The results are compared with num...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-09, Vol.80 (3 Pt 2), p.036206-036206, Article 036206
Main Authors: Kogan, Oleg, Rogers, Jeffrey L, Cross, M C, Refael, G
Format: Article
Language:English
Subjects:
Algorithms
Computer Simulation
Models, Theoretical
Oscillometry - methods
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Summary:We develop a renormalization group method to investigate synchronization clusters in a one-dimensional chain of nearest-neighbor coupled phase oscillators. The method is best suited for chains with strong disorder in the intrinsic frequencies and coupling strengths. The results are compared with numerical simulations of the chain dynamics and good agreement in several characteristics is found. We apply the renormalization group and simulations to Lorentzian distributions of intrinsic frequencies and couplings and investigate the statistics of the resultant cluster sizes and frequencies, as well as the dependence of the characteristic cluster length upon parameters of these Lorentzian distributions.
ISSN:1539-3755
1550-2376
DOI:10.1103/physreve.80.036206